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Elsevier

Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

  • Annual Review in Automatic Programming

    International Tracts in Computer Science and Technology and Their Application
    • 1st Edition
    • Richard Goodman
    • English
    Annual Review in Automatic Programming focuses on the techniques of automatic programming used with digital computers. Topics covered range from the design of machine-independent programming languages to the use of recursive procedures in ALGOL 60. A multi-pass translation scheme for ALGOL 60 is described, along with some commercial source languages. The structure and use of the syntax-directed compiler is also considered. Comprised of 12 chapters, this volume begins with a discussion on the basic ideas involved in the description of a computing process as a program for a computer, expressed in a formal symbolic language such as ALGOL 60. The emphasis is on the information conveyed by the program constituents (semantics), rather than the particular form used (syntax). Subsequent chapters focus on generalized ALGOL; the design of machine-independent programming languages; JOVIAL, a programming language for real-time command systems; and a complete ALGOL translator, expressed in ALGOL itself. A detailed description of the compiler compiler is also presented, together with the Rapidwrite program. The final chapter is devoted to file processing in SEAL (Standard Electronic Accounting Language). This monograph will be of interest to computer programmers.

  • Homotopy Theory

    The Mathematical Works of J. H. C. Whitehead
    • 1st Edition
    • I. M. James
    • English
    Homotopy Theory contains all the published mathematical work of J. H. C. Whitehead, written between 1947 and 1955. This volume considers the study of simple homotopy types, particularly the realization of problem for homotopy types. It describes Whitehead's version of homotopy theory in terms of CW-complexes. This book is composed of 21 chapters and begins with an overview of a theorem to Borsuk and the homotopy type of ANR. The subsequent chapters deal with four-dimensional polyhedral, the homotopy type of a special kind of polyhedron, and the combinatorial homotopy I and II. These topics are followed by reviews of other homotopy types, such as group extensions with homotopy operators, cohomology systems, secondary boundary operator, algebraic homotopy, and the G-dual of a semi-exact couple. The last chapters examine the connected complex homotopy types and the second non-vanishing homotopy groups. This book will be of great value to mathematicians.

  • Statistical Analysis

    A Computer Oriented Approach
    • 1st Edition
    • A. A. Afifi + 1 more
    • English
    Statistical Analysis: A Computer Oriented Approach discusses the probabilistic foundations of statistics, the standard statistical inference procedures, regression, and correlation analysis. The book also explains the analysis of variance and multivariate analysis, with an emphasis on the applications and interpretations of statistical tools. The text defines computer terminologies, coding sheets, format statements, and packaged statistical programs or software. Software and other related programs are tools for data analysis: the "frequency count program" analyzes discrete observations; and the "descriptive program" investigates one continuous variable. Other similar tools are the "descriptive program with strata" that evaluates more than one continuous random variable, and the "crosstabulation program" that reviews contingency tables. The book also explains the general linear model which is applied to the estimators and tests of hypotheses for simple and multiple linear regression models. The text shows how different packaged computer programs can be used to perform analyses of variance. For example, the factorial programs can analyze special designs of randomized blocks, replicated randomized blocks, and nested designs. For other special designs, including the split plot and Latin square designs, the investigator can make adaptations to the standard factorial program. The book is intended for students of statistical inference, computer programming, and readers interested in advanced mathematics.

  • Linear Associative Algebras

    • 1st Edition
    • Alexander Abian
    • English
    Linear Associative Algebras focuses on finite dimensional linear associative algebras and the Wedderburn structure theorems. The publication first elaborates on semigroups and groups, rings and fields, direct sum and tensor product of rings, and polynomial and matrix rings. The text then ponders on vector spaces, including finite dimensional vector spaces and matrix representation of vectors. The book takes a look at linear associative algebras, as well as the idempotent and nilpotent elements of an algebra, ideals of an algebra, total matrix algebras and the canonical forms of matrices, matrix representation of algebras, and division of algebras. The manuscript also tackles the Wedderburn structure theorems, including direct sum and tensor product decomposition of algebras, nilpotent algebras and the radical of an algebra, and structure of simple and semi-simple algebras. The publication is highly recommended for mathematicians and students interested in the Wedderburn structure theorems and finite dimensional linear associative algebras.

  • Mathematical Modelling in Science and Technology

    The Fourth International Conference, Zurich, Switzerland, August 1983
    • 1st Edition
    • Xavier J.R. Avula + 2 more
    • English
    Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.

  • Mathematics for Financial Analysis

    • 1st Edition
    • Michael Gartenberg + 1 more
    • English
    Mathematics for Financial Analysis focuses on the application of mathematics in financial analysis, including applications of differentiation, logarithmic functions, and compounding. The publication first ponders on equations and graphs, vectors and matrices, and linear programming. Discussions focus on duality and minimization problems, systems of linear inequalities, linear programs, matrix inversion, properties of matrices and vectors, vector products, equations and graphs, higher dimensional spaces, distance in the plane, coordinate geometry, and inequalities and absolute value. The text then examines differential calculus, applications of differentiation, and antidifferentiation and definite integration. Topics include fundamental theorem of calculus, definite integral, profit optimization in a monopoly, revenue from taxation, curve sketching, concavity and points of inflection, and rules for differentiation. The book examines the applications of integration and differentiation and integration of exponential and logarithmic functions, including exponential and logarithmic functions, differentiation and integration of logarithmic functions, and continuous compounding. The publication is a valuable source of data for researchers interested in the application of mathematics in financial analysis.

  • Issues of Organizational Design

    A Mathematical Programming View of Organizations
    • 1st Edition
    • Børge Obel
    • English
    Issues of Organizational Design: A Mathematical Programming View of Organizations analyzes the view that organizations can be represented satisfactorily by a mathematical programming model and relates it to other theories of organizational behavior. The potential of this approach to organizational analysis is evaluated. Comprised of seven chapters, this book begins with an overview of the three major schools of organizational theory: the classical/structural school, the human relations school, and the contingency school. It then defines what an organization is and outlines the relationship between organizational elements. The example of the two-product firm is used to illustrate the basic model framework, and how coordination, diversification, and incentives can be treated in this framework.Subsequent chapters explore the relationship between the contingency approach and the mathematical programming approach to organizational design; the coordination problem and the process of decision making in a decentralized organization; the decomposition of the organization into a number of smaller units; and types of evaluation and incentive schemes for addressing cheating in a multi-level organization. The book also presents a series of empirical studies where a mathematical programming view of organizations has been assumed before concluding with a discussion on the process of designing organizations. This monograph will be useful for students of organizational design and for practitioners who use models in connection with decision making.

  • Linear Network Theory

    • 1st Edition
    • G. I. Atabekov
    • P. K. M'Pherson
    • English
    Linear Network Theory presents the problems of linear network analysis and synthesis. This book discusses the theory of linear electrical circuits, which is important for developing the scientific outlook of specialists in radio and electrical engineering. Organized into 13 chapters, this book begins with an overview of circuit theory that operates with electrical quantities, including voltage, charge, and current. This text then examines sinusoidal function as the predominant form of a periodic process in electrical circuits. Other chapters consider the reduction of a series–parallel network to single equivalent impedance, which is one of the main forms of converting circuit diagrams often used in practice. The final chapter deals with the Laplace transformation or operational calculus, which is a combination of methods of mathematical analysis. This book is intended to be suitable for students in the specialized branches of electrical and radio engineering, post-graduates, and engineers extending their theoretical knowledge.

  • Arithmetic Applied Mathematics

    • 1st Edition
    • Donald Greenspan
    • V. Lakshmikantham + 1 more
    • English
    Arithmetic Applied Mathematics deals with concepts of arithmetic applied mathematics and uses a computer, rather than a continuum, approach to the deterministic theories of particle mechanics. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics using only arithmetic. Definitions of energy and momentum are presented that are identical to those of continuum mechanics. Comprised of nine chapters, this book begins by exploring discrete modeling as it relates to Newtonian mechanics and special relativistic mechanics, paying particular attention to gravity. The reader is then introduced to long-range forces such as gravitation and short-range forces such as molecular attraction and repulsion; the N-body problem; and conservative and non-conservative models of complex physical phenomena. Subsequent chapters focus on the foundational concepts of special relativity; arithmetic special relativistic mechanics in one space dimension and three space dimensions; and Lorentz invariant computations. This monograph will be of interest to students and practitioners in the fields of mathematics and physics.

  • Economics and Artificial Intelligence

    Proceedings of the IFAC/IFORS/IFIP/IASC/AFCET Conference, Aix-en-Provence, France, 2—4 September 1986
    • 1st Edition
    • Jean-Louis Roos
    • English
    Economics and Artificial Intelligence documents the proceedings of the IFAC/IFORS/IFIP/IASC... Conference held in Aix-en-Provence, France on September 2-4, 1986. This book discusses the design of intelligent dialogue in D.S.S. qualitative modeling of economic studies; basic propositions for intelligent systems design methods; and expert systems for confirmatory data analysis. The artificial intelligence for transaction cost economizing; knowledge-based evaluation of strategic investments; and reasoning system for the guidance of technological transfer are also elaborated. This text likewise covers the A.I. impacts on the process of the division of labor; using automated techniques to generate expert systems for R&D project monitoring; and intelligent support to decision making process. This compilation is a good reference for students and researchers conducting work on the nature of economics and artificial intelligence.

  • A Guide to Mathematical Tables

    Supplement No. 1
    • 1st Edition
    • N. M. Burunova + 2 more
    • English
    A Guide to Mathematical Tables is a supplement to the Guide to Mathematical Tables published by the U.S.S.R. Academy of Sciences in 1956. The tables contain information on subjects such as powers, rational and algebraic functions, and trigonometric functions, as well as logarithms and polynomials and Legendre functions. An index listing all functions included in both the Guide and the Supplement is included. Comprised of 15 chapters, this supplement first describes mathematical tables in the following order: the accuracy of the table (that is, the number of decimal places or significant figures); the limits of variation of the argument and the interval of the table; and the serial number of the book or journal in the reference material. The second part gives the author, title, publishing house, and date and place of publication for books, and the name of the journal, year of publication, series, volume and number, page and author and title of the article cited for journals. Topics range from exponential and hyperbolic functions to factorials, Euler integrals, and related functions. Sums and quantities related to finite differences are also tabulated. This book will be of interest to mathematicians and mathematics students.

  • A Course of Higher Mathematics

    Adiwes International Series in Mathematics, Volume 2
    • 1st Edition
    • V. I. Smirnov
    • A. J. Lohwater
    • English
    A Course of Higher Mathematics, Volume II: Advanced Calculus covers the theory of functions of real variable in advanced calculus. This volume is divided into seven chapters and begins with a full discussion of the solution of ordinary differential equations with many applications to the treatment of physical problems. This topic is followed by an account of the properties of multiple integrals and of line integrals, with a valuable section on the theory of measurable sets and of multiple integrals. The subsequent chapters deal with the mathematics necessary to the examination of problems in classical field theories in vector algebra and vector analysis and the elements of differential geometry in three-dimensional space. The final chapters explore the Fourier series and the solution of the partial differential equations of classical mathematical physics. This book will prove useful to advanced mathematics students, engineers, and physicists.

  • The Application of Mathematical Statistics to Chemical Analysis

    • 1st Edition
    • V. V. Nalimov
    • M. Williams
    • English
    The Application of Mathematical Statistics to Chemical Analysis presents the methods of mathematical statistics as applied to problems connected with chemical analysis. This book is divided into nine chapters that particularly consider the principal theorems of mathematical statistics that are explained with examples taken from researchers associated with chemical analysis in laboratory work. This text deals first with the problems of mathematical statistics as a means to summarize information in chemical analysis. The next chapters examine the classification of errors, random variables and their characteristics, and the normal distribution in mathematical statistics. These topics are followed by surveys of the application of Poisson's and binomial distribution in radiochemical analysis; the estimation of chemical analytic results; and the principles and application of determination of experimental variance. The last chapters explore the determination of statistical parameters of linear relations and some working methods associated with the statistical design of an experiment. This book will be of great value to analytical chemists and mathematical statisticians.

  • Mathematical Tables

    Tables of in G [z] for Complex Argument
    • 1st Edition
    • A. A. Abramov
    • English
    Mathematical Tables of In ? (z) for Complex Argument is a compilation of tables of In ? (z), z = x + iy, calculated for steps in x and y of 0.01 and with an accuracy of one unit in the last (the sixth) decimal place. Interpolation is used to calculate In ? (z) for intermediate values and is carried out separately for the real and imaginary parts of In ? (z). Six places are retained in interpolation. This book first explains how the values of In ? (z) are calculated using the asymptotic formula in a wide lattice with step h = 0.16, and how the tables and the nomograph are used. The values in the lattice are interpolated successively at the centers of various symmetric figures. The calculation of In ? (z) outside the quadrangle is also considered. Formulas for the calculation of In ? (z) outside the given rectangle are listed. The nomograph is intended to facilitate the interpolation procedure. Some of the calculations (including the rounding off of the results to the sixth place and the calculation of second differences) are carried out with the aid of analytical computers. This monograph will be of interest to mathematicians and mathematics students.

  • Algebraical and Topological Foundations of Geometry

    Proceedings of a Colloquium Held in Utrecht, August 1959
    • 1st Edition
    • Hans Freudenthal
    • English
    Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers review the algebraical and topological foundations of geometry and cover topics ranging from the geometric algebra of the Möbius plane to the theory of parallels with applications to closed geodesies. Groups of homeomorphisms and topological descriptive planes are also discussed. Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications to closed geodesies; groups of homeomorphisms; complemented modular lattices; and topological descriptive planes. Subsequent chapters focus on collineation groups; exceptional algebras and exceptional groups; the connection between algebra and constructions with ruler and compasses; and the use of differential geometry and analytic group theory methods in foundations of geometry. Von Staudt projectivities of Moufang planes are also considered, and an axiomatic treatment of polar geometry is presented. This monograph will be of interest to students of mathematics.

  • Differential Equations with Maple V®

    • 1st Edition
    • Martha L Abell + 1 more
    • English
    Differential Equations with Maple V provides an introduction and discussion of topics typically covered in an undergraduate course in ordinary differential equations as well as some supplementary topics such as Laplace transforms, Fourier series, and partial differential equations. It also illustrates how Maple V is used to enhance the study of differential equations not only by eliminating the computational difficulties, but also by overcoming the visual limitations associated with the solutions of differential equations. The book contains chapters that present differential equations and illustrate how Maple V can be used to solve some typical problems. The text covers topics on differential equations such as first-order ordinary differential equations, higher order differential equations, power series solutions of ordinary differential equations, the Laplace Transform, systems of ordinary differential equations, and Fourier Series and applications to partial differential equations. Applications of these topics are also provided. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

  • Current Issues in Computer Simulation

    • 1st Edition
    • Nabil R. Adam + 1 more
    • English
    Current Issues in Computer Simulation is a collection of papers dealing with computer simulation languages, statistical aspects of simulation, linkage with optimization and analytical models, as well as theory and application of simulation methodology. Some papers explain the General Purpose Simulation System (GPSS), a programming package incorporating a language to simulate discrete systems; and the SIMSCRIPT, a general-purpose simulation language using English commands, for example, FORTRAN. Another simulation language is the General Activity Simulation Program (GASP), providing for an organizational structure to build models to simulate the dynamic performance of systems on a digital computer. Other papers discuss simulation models of real systems, including corporate simulation models, multistage consumer choice process, determination of maximum occupancy for hospital facilities, and the juvenile court system. Many computer simulations are statistical sampling experiments performed on a model of the system under investigation. Other papers discuss some of the variables involved in the statistical design and analysis of simulation experiments such as variance reduction techniques, generation of random variates, and experimental layout. For example, one application simulates inventory systems when many items are stocked in various locations. The collection is suitable for programmers, computer engineers, businessmen, hospital administrators, schools officials, and depositories of huge volumes of information or data.

  • Exploring University Mathematics 2

    Lectures Given at Bedford College, London
    • 1st Edition
    • D. M. Burley + 2 more
    • N. J. Hardiman
    • English
    Exploring University Mathematics 2 presents the mathematical concept that is fundamental to the treatment of numbers. This book discusses the positive integers as the basis of common knowledge. Organized into seven chapters, this book begins with an overview of the analytical proof of the essentially geometrical isoperimetric problem. This text then explains that the simple models can be constructed, which lead to sixth-form mathematics. Other chapters consider the important physical ideas in kinetic theory. This book discusses as well the graphical method for establishing the general properties of the solution of a differential equation and applied it to the familiar equation for the motion of a simple pendulum when the amplitude of the oscillation is not small. The final chapter deals with certain methods in the theory of differential equations that are of considerable importance and interest. This book is a valuable resource for students, teachers, and research workers.

  • Nonlinear Stochastic Operator Equations

    • 1st Edition
    • George Adomian
    • English
    Nonlinear Stochastic Operator Equations deals with realistic solutions of the nonlinear stochastic equations arising from the modeling of frontier problems in many fields of science. This book also discusses a wide class of equations to provide modeling of problems concerning physics, engineering, operations research, systems analysis, biology, medicine. This text discusses operator equations and the decomposition method. This book also explains the limitations, restrictions and assumptions made in differential equations involving stochastic process coefficients (the stochastic operator case), which yield results very different from the needs of the actual physical problem. Real-world application of mathematics to actual physical problems, requires making a reasonable model that is both realistic and solvable. The decomposition approach or model is an approximation method to solve a wide range of problems. This book explains an inherent feature of real systems—known as nonlinear behavior—that occurs frequently in nuclear reactors, in physiological systems, or in cellular growth. This text also discusses stochastic operator equations with linear boundary conditions. This book is intended for students with a mathematics background, particularly senior undergraduate and graduate students of advanced mathematics, of the physical or engineering sciences.

  • Elements of Combinatorial Computing

    • 1st Edition
    • Mark B. Wells
    • English
    Elements of Combinatorial Computing focuses on the processes, principles, methodologies, and approaches involved in combinatorial computing. The publication first takes a look at a language for combinatorial computing, language implementation and program efficiency, and computer representation of mathematical objects. Discussions focus on geometric configurations, elementary combinatorial configurations, sets and vectors, natural numbers, program optimization, data representation, set manipulation, notation for iteration and recursion, and nested iteration and recursive programming. The text then takes a look at backtrack programming, generation of elementary configurations, and additional basic techniques and manipulations. Topics include isomorph rejection, transformations, finite set covering, sorting techniques, permutations with repeated objects, compositions, partitions, subsets and combinations, and basic backtracking and impasse detection. The book examines additional basic techniques and manipulations and applications of advanced algorithms. The publication is highly recommended for computer science experts and researchers interested in the elements in combinatorial computing.

  • Mathematics with Understanding

    • 1st Edition
    • Harold Fletcher + 1 more
    • C. Plumpton
    • English
    Mathematics with Understanding, Book 1 provides a guide for teaching primary mathematics. This book consists of nine main topics–aims of a modern approach; language of sets; relations and sorting; recording of number and use of different bases; open sentences, number facts and pictorial representation; natural numbers and addition; subtraction; multiplication; and division. In these topics, this text specifically discusses the union and intersection of two sets, Cardinal number of a set, and recording by means of a mapping. The collection of data, fundamental operations for natural numbers, and subtraction algorithm are also deliberated. This compilation likewise covers the Cartesian product of two sets and properties of division. This publication is recommended for math teachers intending to acquire a deeper understanding of the structure behind many mathematical ideas and processes.

  • Applied Stochastic Processes

    • 1st Edition
    • G. Adomian
    • English
    Applied Stochastic Processes is a collection of papers dealing with stochastic processes, stochastic equations, and their applications in many fields of science. One paper discusses stochastic systems involving randomness in the system itself that can be a large dynamical multi-input, multi-output system. Examples of a large system are the national economy of a major country or when an acoustic wave is propagating as in the atmosphere, ocean, or sea. Another paper proves that only the average properties of the molecules of biology can be measured with precision in the test tube; and disputes a "simplistic" model of the cell as defined by a miniature Laplaces' universe. The paper notes that the way existing cells are constructed implies that quantum mechanical principles lead to certain questions (about simple experiments) having only statistical answers. Another paper addresses the detection of distributed, fluctuating targets in a reverberation limited, randomly time, and space varying transmission media. This approach is done by using the concepts of "random Green's functions" and the "stochastic Green's function." The collection will prove useful for cellular researchers, mathematicians, physicist, engineers, and academicians in the field of applied mathematics, statistics, and chemistry.

  • The Origins of Infinitesimal Calculus

    • 1st Edition
    • Margaret E. Baron
    • English
    The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.

  • Algebraic and Classical Topology

    The Mathematical Works of J. H. C. Whitehead
    • 1st Edition
    • I. M. James
    • English
    Algebraic and Classical Topology contains all the published mathematical work of J. H. C. Whitehead, written between 1952 and 1960. This volume is composed of 21 chapters, which represent two groups of papers. The first group, written between 1952 and 1957, is principally concerned with fiber spaces and the Spanier-Whitehead S-theory. In the second group, written between 1957 and 1960, Whitehead returns to classical topology after a long interval, and participates in the renewed assault on the problems which fascinated him most. This book will prove useful to mathematicians.

  • Programmes for Animation

    A Handbook for Animation Technicians
    • 1st Edition
    • Brian Salt
    • English
    Programmes for Animation: A Handbook for Animation Technicians is a handbook on animation containing a list of 57 programs for use on a programmable calculator. Each program is preceded by explanations of how the necessary mathematical formulas were derived; each step of the program is also accompanied by a brief explanation. The programs are intended for the Hewlett-Packard HP-97 calculator, and can also be used on the HP-67 pocket calculator. Comprised of 17 chapters, this book begins by giving sufficient information about the functions of the keys of the calculator. The discussion then turns to field widths and zoom counter readings; the field chart and coordinate systems; and lens and table off-sets. Subsequent chapters deal with linear movements and fairings; exponential movements; middle fairings and co-fairings; rotations and circular pans; and simple harmonic motion. Exposures at different field widths are also explained, along with zooms using several pieces of artwork and movements along a curve. The book concludes by describing two-lens aerial image projection. This monograph was written specifically for animation technicians.

  • Exploring University Mathematics

    Lectures Given at Bedford College, London
    • 1st Edition
    • P. Chadwick + 2 more
    • N. J. Hardiman
    • English
    Exploring University Mathematics 1 provides information pertinent to pure and applied mathematics. This book discusses a variety of topics, including sets and functions, relativity, integers, waves, isometric problems, and digital computers. Organized into seven chapters, this book begins with an overview of the axiomatic way of introducing natural numbers that is completely satisfactory for mathematical purposes. This text then examines the special theory of relativity, which is a certain kind of geometry of four dimensions that connects three spatial coordinates x, y, z, and a time coordinate t. Other chapters consider the impact that the study of wave phenomena has had on the historical development of mathematics. This book discusses as well the development of the electronic digital computers. The final chapter deals with solving the isoperimetric problem. This book is intended to be suitable for students about to embark upon a degree course of which mathematics is a major part.

  • Advances in Computers

    • 1st Edition
    • Volume 93
    • English
    Since its first volume in 1960, Advances in Computers has presented detailed coverage of innovations in computer hardware, software, theory, design, and applications. It has also provided contributors with a medium in which they can explore their subjects in greater depth and breadth than journal articles usually allow. As a result, many articles have become standard references that continue to be of significant, lasting value in this rapidly expanding field.

  • Introduction to Probability Models

    • 11th Edition
    • Sheldon M. Ross
    • English
    Introduction to Probability Models, Eleventh Edition is the latest version of Sheldon Ross's classic bestseller, used extensively by professionals and as the primary text for a first undergraduate course in applied probability. The book introduces the reader to elementary probability theory and stochastic processes, and shows how probability theory can be applied fields such as engineering, computer science, management science, the physical and social sciences, and operations research. The hallmark features of this text have been retained in this eleventh edition: superior writing style; excellent exercises and examples covering the wide breadth of coverage of probability topic; and real-world applications in engineering, science, business and economics. The 65% new chapter material includes coverage of finite capacity queues, insurance risk models, and Markov chains, as well as updated data. The book contains compulsory material for new Exam 3 of the Society of Actuaries including several sections in the new exams. It also presents new applications of probability models in biology and new material on Point Processes, including the Hawkes process. There is a list of commonly used notations and equations, along with an instructor's solutions manual. This text will be a helpful resource for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

  • Hypersingular Integral Equations in Fracture Analysis

    • 1st Edition
    • Whye-Teong Ang
    • English
    Hypersingular Integral Equations in Fracture Analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral equations for coplanar cracks in anisotropic elastic media; Numerical methods for solving hypersingular integral equations; Hypersingular boundary integral equation method for planar cracks in an anisotropic elastic body; A numerical Green's function boundary integral approach for crack problems; and Edge and curved cracks and piezoelectric cracks. This book provides a clear account of the hypersingular integral approach for fracture analysis, gives in complete form the hypersingular integral equations for selected crack problems, and lists FORTRAN programs of numerical methods for solving hypersingular integral equations.

  • Explorations in Topology

    Map Coloring, Surfaces and Knots
    • 2nd Edition
    • David Gay
    • English
    Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research. Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology.

  • Differential Diagnosis of Internal Diseases

    Clinical Analysis and Synthesis of Symptoms and Signs on Pathophysiologic Basis
    • 3rd Edition
    • Julius Bauer
    • English
    Differential Diagnosis of Internal Diseases, Third Edition covers the diagnosis of numerous internal diseases based on symptoms and signs. This edition is organized by symptoms and signs that may be individually different even in the same disease and must be analyzed and understood on a pathophysiological basis within the framework of the individual personality. This book is composed of two main parts encompassing 20 chapters. Part I reviews the leading symptoms of headache, chest and abdominal pain, backache, pain in extremities, general feelings and consciousness disorders, vertigo, nausea, vomitus, cough, dyspnea, diarrhea, constipation, and hemorrhages. Part II examines the leading signs habitus, hyperthermia, fever, infectious disease, respiratory, cardiovascular, digestive, hematopoietic, and uropoietic systems diseases, and glycosuria. This book will be of value to general physicians, clinicians, and pathophysiologists.

  • Basic Stress Analysis

    • 1st Edition
    • M J Iremonger
    • English
    BASIC Stress Analysis aims to help students to become proficient at BASIC programming by actually using it in an important engineering subject. It also enables the student to use computing as a means of learning stress analysis because writing a program is analogous to teaching—it is necessary to understand the subject matter. The book begins by introducing the BASIC approach and the concept of stress analysis at first- and second-year undergraduate level. Subsequent chapters contain a summary of relevant theory, worked examples containing computer programs, and a set of problems. Topics covered include direct stress and strain; shear and torsion; bending; complex stress and strain; failure; and axisymmetric systems. Each chapter includes worked examples that are posed as questions. A listing of a possible program is given followed by an example of its output and some ""Program Notes."" These notes explain the structure of the program and how it utilizes the stress analysis theory.

  • Selected Constants Oxydo-Reduction Potentials

    Tables of Constants and Numerical Data Affiliated to The International Union of Pure and Applied Chemistry, Vol. 8
    • 1st Edition
    • G. Charlot
    • English
    Selected Constants: Oxydo-Reduction Potentials contains Tables of the most probable value of the normal oxidation-reduction potential, or of the formal or apparent potential, of a given oxidation-reduction system. This book is prepared under the sponsorship of the Commission on Electrochemical Data of the Section of Analytical Chemistry of the International Union of Pure and Applied Chemistry. It is included in a general program of the Section of Analytical Chemistry. Entry items are classified in alphabetical order. This book will be of value to specialized and non-specialized chemists, teachers, and students.

  • Evaluating Performance in Physical Education

    • 1st Edition
    • B. Don Franks + 1 more
    • English
    Evaluating Performance in Physical Education describes the tools and techniques that can be used by teachers to assess student performance, curriculum, and method of teaching. The book discusses conventional material in evaluating physical education performance through written, fitness tests, and elementary statistics. The text also explains nonparametric statistics, subjective evaluation, and a theoretical model for fitness and performance. The authors review the functions, evaluation, and administration of testing. The authors also explain in more detail subjective evaluation and offer three forms: 1) experience of the teacher; 2) skill to be rated; and 3) length of time for rating. In testing events, nonparametric statistical procedures show more reliability; parametric procedures are preferably to be used in established research stations. The authors also list some guidelines to be followed in evaluating the student such as objectives, assignment of grades, and acceptance of the grading plan. The book also discusses procedures when evaluation involves large groups. The text can assist physical education teachers, school administrators, and educators in evaluating their subject course or curricula.

  • Equilibrium Statistical Mechanics

    • 1st Edition
    • J. E. Mayer
    • English
    The International Encyclopedia of Physical Chemistry and Chemical Physics, Volume 1: Equilibrium Statistical Mechanics covers the fundamental principles and the development of theoretical aspects of equilibrium statistical mechanics. Statistical mechanical is the study of the connection between the macroscopic behavior of bulk matter and the microscopic properties of its constituent atoms and molecules. This book contains eight chapters, and begins with a presentation of the master equation used for the calculation of the fundamental thermodynamic functions. The succeeding chapters highlight the characteristics of the partition function and its application to the analysis of perfect and imperfect gases, solids, and dense fluids. These topics are followed by discussions on the fundamentals of quantum statistics, with particular emphasis on its application in certain media. The last chapter outlines the derivation of the relations between the partition functions and the thermodynamic quantities. This book will be of value to physical chemists, chemical physicists, mathematicians, and researchers in the allied fields of statistical mechanics.

  • Women in Computing

    • 1st Edition
    • Judith A. Morris
    • English
    Women in Computing presents how the computing industry delivered the opportunities for women. This book identifies the distinct attitudes in companies towards equal opportunities. Organized into eight chapters, this book begins with an overview of the problems, the opportunities, the successes and failures, and provides some insight into what can be done by women to make use of the massive potential they have in the future industry. This text then examines the problem to introduce computing to girls in school, which has not been taught properly in schools due to lack of right equipment or lack of training of the teachers. Other chapters consider the positive attitude of most major computer manufacturers and software houses to the employment of women. This book discusses as well the problems faced by women in the work place, including sexual harassment and lack of cooperation from male colleagues. The final chapter deals with the need for change in the computing industry. This book is a valuable resource for employees and employers.

  • Computational Hydraulics

    • 1st Edition
    • C. A. Brebbia + 1 more
    • English
    Computational Hydraulics provides an introduction to computational techniques for hydraulic and fluid flow engineers. It combines classical hydraulics with new methods such as finite elements and boundary elements, which are both presented in a matrix formulation. The most interesting feature of the book is the integrated treatment given to the theoretical and computing aspects of numerical methods. The format presents a series of complete computer programs, for linear and non-linear pipe network analysis, depth flow computations, and finite and boundary elements for Laplace equations. The programs, which are written in standard FORTRAN, are self-contained and easy to implement in any computer. The book is the product of several years' experience in teaching and research at undergraduate and post-graduate level and can be used to offer a self-contained course on Computational Hydraulics for final year or M.Sc. Engineering students. The authors hope that this book will make practicing hydraulic engineers more aware of modern computer techniques and be useful in teaching them to the next generation.

  • Handbook of Automotive Design Analysis

    • 1st Edition
    • John Fenton
    • English
    Handbook of Automotive Design Analysis examines promising approaches to automotive design analysis. The discussions are organized based on the major “technological divisions” of motor vehicles: the transmission gearbox and drive line; steering and suspension; and the automobile structure. This handbook is comprised of three chapters; the first of which deals with transmission gearboxes and drive lines. This chapter describes manual-shift gearbox design, synchromesh mechanisms, hydrokinetic automatic gearboxes, drive-line main assemblies, and drive-line losses. The next chapter is about vehicle suspensions and optimum handling performance, with emphasis on two categories of handling of vehicles: steady-state turning (or cornering) and the transient state. The behavior of the steering system, ride parameters, and the design and installation of spring elements are discussed. The third and final chapter focuses on the application of structural design analysis to the automotive structure. After explaining the fundamentals of structural theory in car body design, this book presents the analysis of commercial vehicle body and chassis. Throughout the book, maximum use is made of line-drawings and concise textural presentation to provide the working designer with an easy assimilable account of automotive design analysis. This book will be useful to young automotive engineers and newcomers in automotive design.

  • Optimization in Mechanics

    Problems and Methods
    • 1st Edition
    • Volume 34
    • P. Brousse
    • J. D. Achenbach
    • English
    Optimization in Mechanics: Problems and Methods investigates various problems and methods of optimization in mechanics. The subjects under study range from minimization of masses and stresses or displacements, to maximization of loads, vibration frequencies, and critical speeds of rotating shafts. Comprised of seven chapters, this book begins by presenting examples of optimization problems in mechanics and considering their application, as well as illustrating the usefulness of some optimizations like those of a reinforced shell, a robot, and a booster. The next chapter outlines some of the mathematical concepts that form the framework for optimization methods and techniques and demonstrates their efficiency in yielding relevant results. Subsequent chapters focus on the Kuhn Tucker theorem and duality, with proofs; associated problems and classical numerical methods of mathematical programming, including gradient and conjugate gradient methods; and techniques for dealing with large-scale problems. The book concludes by describing optimizations of discrete or continuous structures subject to dynamical effects. Mass minimization and fundamental eigenvalue problems as well as problems of minimization of some dynamical responses are studied. This monograph is written for students, engineers, scientists, and even self-taught individuals.

  • Statistical Theory of Signal Detection

    International Series of Monographs in Electronics and Instrumentation
    • 2nd Edition
    • Carl W. Helstrom
    • D. W. Fry + 2 more
    • English
    Statistical Theory of Signal Detection, Second Edition provides an elementary introduction to the theory of statistical testing of hypotheses that is related to the detection of signals in radar and communications technology. This book presents a comprehensive survey of digital communication systems. Organized into 11 chapters, this edition begins with an overview of the theory of signal detection and the typical detection problem. This text then examines the goals of the detection system, which are defined through an analogy with the testing of statistical hypotheses. Other chapters consider the noise fluctuations in terms of probability distributions whereby the statistical information is used to design a receiver that attains the maximum rate of successful detections in a long series of trials. This book discusses as well the criteria of success and failure in statistical situations. The final chapter deals with the types of stochastic signals. This book is a valuable resource for mathematicians and engineers.

  • Neural Modeling and Neural Networks

    • 1st Edition
    • F. Ventriglia
    • English
    Research in neural modeling and neural networks has escalated dramatically in the last decade, acquiring along the way terms and concepts, such as learning, memory, perception, recognition, which are the basis of neuropsychology. Nevertheless, for many, neural modeling remains controversial in its purported ability to describe brain activity. The difficulties in "modeling" are various, but arise principally in identifying those elements that are fundamental for the expression (and description) of superior neural activity. This is complicated by our incomplete knowledge of neural structures and functions, at the cellular and population levels. The first step towards enhanced appreciation of the value of neural modeling and neural networks is to be aware of what has been achieved in this multidisciplinary field of research. This book sets out to create such awareness. Leading experts develop in twelve chapters the key topics of neural structures and functions, dynamics of single neurons, oscillations in groups of neurons, randomness and chaos in neural activity, (statistical) dynamics of neural networks, learning, memory and pattern recognition.

  • Generating Functionology

    • 2nd Edition
    • Herbert S. Wilf
    • English
    This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences. An appendix on using the computer algebra programs MAPLE(r) and Mathematica(r) to generate functions is also included. The book provides a clear, unified introduction to the basic enumerative applications of generating functions, and includes exercises and solutions, many new, at the end of each chapter.

  • Dynamic Analysis of Offshore Structures

    • 1st Edition
    • C.A. Brebbia + 1 more
    • English
    Dynamic Analysis of Offshore Structures appraises offshore structures, particularly the major sources of uncertainty in the design process. The book explains the fundamentals of probabilistic processes, the theory or analysis of sea states, and the random-vibration approach to structural response. The text describes the hydrodynamics of water waves, wave forecasting, and the statistical parameters associated with sea-states. The investigator can use Morison's equation to calculate the impact of wave forces acting on slender members such as on lattice-type structures. Or he can employ the diffraction theory to calculate wave forces acting on large-diameter bodies such as concrete gravity-type structures. Other environmental forces he should be concerned with are the effects of currents and winds. The book examines the theory of vibration (including the spectral approach), the theory of vibration on multi-degree-of-free... structures, matrix analysis of structural response, problems of fatigue, and soil-structure interaction. The book notes the importance of the method of analysis used, with emphasis on the following: dynamic analysis, frequency domain, and linearization of drag. Two types of analysis follow linearization of drag: deterministic analysis (applied in a series of design waves which uses the long-term exceedance diagram for fatigue); or probabilistic analysis (used to study the behavior of the structure during the extreme design storm and its long term behavior for a range of sea states). The book can prove useful for structural, civil, or maritime engineers, as well as for students in one-year courses in offshore structure analysis at the postgraduate or final-year undergraduate level.

  • Ports and Inland Waterways

    Reviews of United Kingdom Statistical Sources
    • 1st Edition
    • R. E. Baxter + 1 more
    • W. F. Maunder
    • English
    Ports and Inland Waterways is a review of sources of statistics on ports and inland waterways in the United Kingdom and covers subjects such as foreign traffic by commodity; coastwise traffic by commodity; special traffic; scheme and non-scheme port traffic; container and roll-on traffic; contents of containers; driver accompanied and unaccompanied road goods vehicles; and restow movements. Transhipment and transit movements are also included, along with fishery traffic, passenger traffic, and shipping movements. This volume is comprised of 12 chapters and begins with an overview of ports and shipping places in the United Kingdom, with emphasis on standardization, collection, and collation of port statistics on a national basis and the creation of the National Ports Council under the Harbours Act of 1964. A brief summary of industry activity concerned and its organization is given in order to present a clear background understanding of how data are collected; what is being measured; the stage at which measurements are made; what the reporting units are; the channels through which returns are routed; and where they are processed. Statistics of customs ports and other areas of the industry are then provided, including those of manpower and finance. Proposed developments for the industry are discussed in the last chapter. This book will be of interest to transportation officials, statisticians, economists, and social science researchers.

  • Supersymmetries and Infinite-Dimensional Algebras

    • 1st Edition
    • Volume 3
    • N. H. March
    • English
    Recent devopments, particularly in high-energy physics, have projected group theory and symmetry consideration into a central position in theoretical physics. These developments have taken physicists increasingly deeper into the fascinating world of pure mathematics. This work presents important mathematical developments of the last fifteen years in a form that is easy to comprehend and appreciate.

  • Methods of Functional Analysis for Application in Solid Mechanics

    • 1st Edition
    • Volume 9
    • J. Mason
    • English
    Publications oriented to the interests of engineering scientists and graduate students on topics of functional analysis and its applications are rare - this book has been written to fill the gap in the literature. It provides a readable account of basic mathematic topics, with illustrative examples and chapters devoted to finite elements, variational principles of elasticity and plasticity, variational inequalities and elastic stability. The text is entirely self-contained and covers a wide range of topics and ideas, from elementary concepts to modern theories and applications, and includes numerous references. It is written for engineers, graduate students and researchers who need a general knowledge of modern mathematical methods in solid mechanics.

  • Mathematical Theory of Sedimentation Analysis

    Physical Chemistry: A Series of Monographs
    • 1st Edition
    • Hiroshi Fujita
    • Eric Hutchinson + 1 more
    • English
    Mathematical Theory of Sedimentation Analysis presents the flow equations for the ultracentrifuge. This book is organized into two parts encompassing six chapters that evaluate the systems of reacting components, the differential equations for the ultracentrifuge, and the case of negligible diffusion. The first chapters consider the Archibald method for molecular weight determination; pressure-dependent sedimentation; expressions for the refractive index and its gradient; relation between refractive index and concentration; and the analysis of Gaussian distribution. Other chapters deal with the basic equations for three-component systems, the extension of the Archibald method to multicomponent systems, and the case of independent sedimentation and diffusion. These topics are followed by a presentation of the extrapolation procedures due to Oth and Desreux. The last chapters are devoted to the examination of the Johnston-Ogston effect and sedimentation with a differential boundary. The book can provide useful information to chemists, physicists, students, and researchers.

  • Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory

    • 1st Edition
    • Volume 4
    • J. Mason
    • English
    Studies in Applied Mechanics, 4: Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory covers the subject of variational, incremental, and energy methods in Solid Mechanics and Shell Theory from a general standpoint, employing general coordinates and tensor notations. The publication first ponders on mathematical preliminaries, kinematics and stress in three-dimensional solid continua, and the first and second laws of thermodynamics. Discussions focus on the principles of virtual displacements and virtual forces, kinematics of rigid body motions, incremental stresses, kinematics of incremental deformation, description of motion, coordinates, reference and deformed states, tensor formulas for surfaces, and differentials and derivatives of operators. The text then elaborates on constitutive material laws, deformation and stress in shells, first law of thermodynamics applied to shells, and constitutive relations and material laws for shells. Concerns cover hyperelastic incremental material relations, material laws for thin elastic shells, incremental theory and stability, reduced and local forms of the first law of thermodynamics, and description of deformation and motion in shells. The book examines elastic stability, finite element models, variational and incremental principles, variational principles of elasticity and shell theory, and constitutive relations and material laws for shells. The publication is a valuable reference for researchers interested in the variational, incremental, and energy methods in solid mechanics and shell theory.

  • Automatic Test Equipment

    • 1st Edition
    • Keith Brindley
    • English
    Automatic Test Equipment provides a clear and concise discussion of automatic test equipment. The book is comprised of nine chapters that deal with both concepts and standards. Chapter 1 reviews the term of automatic test equipment, while Chapter 2 covers the types of test equipment. Chapter 3 discusses fixture, and Chapters 4 and 5 talk about the strategies, methods, and processes used by automatic test equipment systems. The book also deals with computer and instrument buses, and then covers general-purpose interface bus. The last two chapters discuss the VMEbus and VXIbus. The text will be of great use to practitioners from different fields who wish to utilize automatic test equipment in their work.

  • Life Table Techniques and Their Applications

    • 1st Edition
    • Krishnan Namboodiri + 1 more
    • H. H. Winsborough
    • English
    This is the first volume to present a comprehensive treatment of the theory and application of life table techniques. The emphasis is placed on applications, and the theory is presented in such a way that individuals with minimal knowledge of calculus and matrix algebra can follow the argument.

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