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Elsevier

Books in Mathematics and applied mathematics

This portfolio offers comprehensive coverage of pure and applied mathematics, including algebra, calculus, differential equations, and computational techniques. It supports researchers, educators, and students in advancing theoretical understanding and practical problem-solving across engineering, physics, and data science. Featuring innovative methodologies, real-world case studies, and emerging trends, these resources enable breakthroughs in modelling, simulation, and analytical skills critical for technological progress and scientific discovery.

  • 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.

  • 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.

  • Minicomputer Research and Applications

    Proceedings of the First Conference of the HP/1000 International Users Group
    • 1st Edition
    • Helen K. Brown
    • English
    Minicomputer Research and Applications covers the proceedings of the First Conference of the HP/1000 International Users Group, held on August 25-27, 1980 in San Jose, California. The book focuses on the operations, applications, and functions of the HP/1000 computer driver. The selection first underscores an interactive color display station for IC layout and computer aided design in automatic control and logical automata. Discussions focus on automatic control, logical automata, organization of sirena, hardware and software configurations, interactive input support, and display processing. The text then examines a mini-based sculptured surface system and real-time performance analysis system for computers. The publication ponders on variations on a theme (RTE) by Hewlett-Packard, circumventing RTE system memory and disc restrictions, and the Gerber data management system. Topics include user interface, system security, command file, implementation of shared-EMA, and real-time executive modifications. The manuscript also elaborates on ultra low level programming using a high level language and future directions of the HP/1000. The selection is a dependable reference for readers interested in the HP/1000 computer driver.

  • 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.

  • 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.

  • Mathematica® by Example

    • 2nd Edition
    • Martha L Abell + 1 more
    • English
    Mathematica by Example, Revised Edition presents the commands and applications of Mathematica, a system for doing mathematics on a computer. This text serves as a guide to beginning users of Mathematica and users who do not intend to take advantage of the more specialized applications of Mathematica. The book combines symbolic manipulation, numerical mathematics, outstanding graphics, and a sophisticated programming language. It is comprised of 7 chapters. Chapter 1 gives a brief background of the software and how to install it in the computer. Chapter 2 introduces the essential commands of Mathematica. Basic operations on numbers, expressions, and functions are introduced and discussed. Chapter 3 provides Mathematica's built-in calculus commands. The fourth chapter presents elementary operations on lists and tables. This chapter is a prerequisite for Chapter 5 which discusses nested lists and tables in detail. The purpose of Chapter 6 is to illustrate various computations Mathematica can perform when solving differential equations. Chapter 7 discusses some of the more frequently used commands contained in various graphics packages available with Mathematica. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

  • 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.

  • 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.

  • 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.

  • 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.

  • 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.

  • 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.

  • 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.

  • Elementary Vectors

    The Commonwealth and International Library: Mathematics Division
    • 1st Edition
    • E. Œ. Wolstenholme
    • W. J. Langford + 1 more
    • English
    Elementary Vectors is an introductory course in vector analysis which is both rigorous and elementary, and demonstrates the elegance of vector methods in geometry and mechanics. Topics covered range from scalar and vector products of two vectors to differentiation and integration of vectors, as well as central forces and orbits. Comprised of seven chapters, this book begins with an introduction to relevant definitions; addition and subtraction of vectors; multiplication of a vector by a real number; position vectors and distance between two points; and direction cosines and direction ratios. The discussion then turns to scalar and vector products of two vectors; application of vector methods to simple kinematical and dynamical problems concerning the motion of a particle; and differentiation and integration of vectors. Central forces and orbits are also considered, along with the equation of a straight line and that of a plane. A parametric treatment of certain three-dimensional curves and curved surfaces, including the helix, is presented. This monograph will be of value to students, teachers, and practitioners of mathematics.

  • 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.

  • 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.

  • Statistics for Experimentalists

    • 1st Edition
    • B. E. Cooper
    • English
    Statistics for Experimentalists aims to provide experimental scientists with a working knowledge of statistical methods and search approaches to the analysis of data. The book first elaborates on probability and continuous probability distributions. Discussions focus on properties of continuous random variables and normal variables, independence of two random variables, central moments of a continuous distribution, prediction from a normal distribution, binomial probabilities, and multiplication of probabilities and independence. The text then examines estimation and tests of significance. Topics include estimators and estimates, expected values, minimum variance linear unbiased estimators, sufficient estimators, methods of maximum likelihood and least squares, and the test of significance method. The manuscript ponders on distribution-free tests, Poisson process and counting problems, correlation and function fitting, balanced incomplete randomized block designs and the analysis of covariance, and experimental design. The publication is a valuable reference for statisticians and researchers interested in the use of statistical methods.

  • 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.

  • Vectors and Matrices

    • 1st Edition
    • Pamela Liebeck
    • C. Plumpton
    • English
    Vectors and Matrices provides a progressive approach to vectors and matrices. The first half of this book is devoted to geometry, introducing matrices through its association with geometry mappings, while the rest of the chapters focus on the importance of matrices in non-geometric situations, such as the theory of linear equations and eigenvector theory. The power of eigenvector theory and its application to some problems in biology, probability, and genetics are also reviewed. Other topics include the product of scalar and vector, vector equation of a line, linear dependence, three-dimensional mappings, and orthogonal matrices. The transpose of a matrix and vector, rectangular matrices, inverse of a square matrix, and eigenvectors of a matrix are likewise emphasized in this text. This publication is beneficial to students and researchers conducting work on vectors and matrices.

  • 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.

  • Sets: Naïve, Axiomatic and Applied

    A Basic Compendium with Exercises for Use in Set Theory for Non Logicians, Working and Teaching Mathematicians and Students
    • 1st Edition
    • D. Van Dalen + 2 more
    • I. N. Sneddon
    • English
    Sets: Naïve, Axiomatic and Applied is a basic compendium on naïve, axiomatic, and applied set theory and covers topics ranging from Boolean operations to union, intersection, and relative complement as well as the reflection principle, measurable cardinals, and models of set theory. Applications of the axiom of choice are also discussed, along with infinite games and the axiom of determinateness. Comprised of three chapters, this volume begins with an overview of naïve set theory and some important sets and notations. The equality of sets, subsets, and ordered pairs are considered, together with equivalence relations and real numbers. The next chapter is devoted to axiomatic set theory and discusses the axiom of regularity, induction and recursion, and ordinal and cardinal numbers. In the final chapter, applications of set theory are reviewed, paying particular attention to filters, Boolean algebra, and inductive definitions together with trees and the Borel hierarchy. This book is intended for non-logicians, students, and working and teaching mathematicians.

  • 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.

  • Mathematical Analysis Fundamentals

    • 1st Edition
    • Agamirza Bashirov
    • English
    The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.

  • 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.

  • Differential Forms

    Theory and Practice
    • 2nd Edition
    • Steven H. Weintraub
    • English
    Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, Second Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice.

  • Advances in Computers

    • 1st Edition
    • Volume 92
    • 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.

  • An Introduction to the Mathematics of Financial Derivatives

    • 3rd Edition
    • Ali Hirsa + 1 more
    • English
    An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems.

  • 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.

  • Introduction to Probability

    • 2nd Edition
    • George G. Roussas
    • English
    Introduction to Probability, Second Edition, discusses probability theory in a mathematically rigorous, yet accessible way. This one-semester basic probability textbook explains important concepts of probability while providing useful exercises and examples of real world applications for students to consider. This edition demonstrates the applicability of probability to many human activities with examples and illustrations. After introducing fundamental probability concepts, the book proceeds to topics including conditional probability and independence; numerical characteristics of a random variable; special distributions; joint probability density function of two random variables and related quantities; joint moment generating function, covariance and correlation coefficient of two random variables; transformation of random variables; the Weak Law of Large Numbers; the Central Limit Theorem; and statistical inference. Each section provides relevant proofs, followed by exercises and useful hints. Answers to even-numbered exercises are given and detailed answers to all exercises are available to instructors on the book companion site. This book will be of interest to upper level undergraduate students and graduate level students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences.

  • An Introduction to Nonsmooth Analysis

    • 1st Edition
    • Juan Ferrera
    • English
    Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail.

  • Computer-Aided Design International Yearbook 1985

    • 1st Edition
    • Alison Smith
    • English
    Computer-Aided Design International Yearbook 1985 covers developments and trends in computer-aided design. This book examines the role of the computer in making design decisions and surveys the CAD industry. This text also presents a run-down of the latest acquisitions of companies in the field and a survey of the major firms working in CAD. The main part of this yearbook is taken up by a directory of products and vendors and manufacturers of CAD equipment. This yearbook consists of 13 chapters and begins with a discussion on the importance of computers in design decision-making, as well as historical precedents in the evolutionary stages in the development of human's control over his environment. The next chapter presents an overview of the status of the CAD industry. After providing a profile of Scottish company Lattice Logic, this book turns to Plessey Airports of the UK and its investment in CAD. A directory of products and manufacturers of CAD equipment follows. Entries are organized alphabetically by vendor and are grouped under four headings: turnkey systems, software, system components, and services. This book also provides lists of useful addresses and product indexes. This monograph will be of interest to CAD users and vendors alike.

  • 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.

  • An Introduction to Psychoanalytic Theory of Motivation

    • 1st Edition
    • Walter Toman
    • English
    An Introduction to Psychoanalytic Theory of Motivation details the fundamental concepts in applying the psychoanalytic theory in understanding motivation. The title addresses the short-comings of the psychoanalytic theory, particularly the lack of scientific literature. The first part of the text covers the critical concepts in psychoanalytic theory, such as the psychological forces, defense mechanisms, superego, and primal desires. In the second part, the selection details the theory at work; this part discusses the major stages of life from a psychoanalytic perspective. The text also talks about a system of psychopathology, along with the consideration to take in psychotherapy. The book will be of great interest to students, researchers, and practitioners of behavioral science.

  • 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.

  • Computers in the Service of Society

    • 1st Edition
    • Robert Lee Chartrand
    • English
    Computers in the Service of Society examines the role of computers in contemporary society. Based on a seminar series given in the spring of 1969 and co-sponsored by The American University, the book discusses the different societal problems that may be ameliorated by the application of computer technology. The focus of the book is on man’s response to computers, whether the multiple roles of the computer can be comprehended by the decision makers of our times, and whether the vast potential as well as limitations of automatic data processing can be conveyed to the public at large. The book consists of 10 chapters and begins with an overview of the evolution and impact of systems methodology and computer technology; their application to the management of information; and Congress’s increasing awareness of the potential of systems technology, especially the electronic computer. The text then turns its attention to the development of policies for national scientific and technical information systems; systems management in government; how computers help the government in serving society; and acceptance and use of computer technology by corporate management. The possibility of computer-utility services evolving as regulated services is also considered. The book concludes by assessing where the computer is likely to take us in the last third of the 20th century, paying particular attention to the possibility of applying computer technology to the operations of Congress and the legislative process. The text will be of interest to planners, decision makers, professionals, and students working in the field of computer technology.

  • 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.

  • 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.

  • 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.

  • A Guide to Medical Computing

    Computers in Medicine Series
    • 1st Edition
    • E. C. Coles
    • D. W. Hill
    • English
    A Guide to Medical Computing aims to present an account of both the clinical applications and the computer science aspects of computing in medicine. It is intended to serve as a guide to medical computing first by introducing the reader to computers themselves and then by outlining to him the processes involved in applying them in a particular instance. It attempts to explain subject without excessive use of technical terminology. This book is organized into nine chapters. These chapters include an introduction to the hardware and software of computers along with a useful glossary of terms. There are also sections that deal the planning of computer-based projects and the introduction to the writing of computer programs that will be valuable for doctors who are new to computing techniques but need to make use of them in their clinical or research work. This book will be of interest to persons dealing with studies on medical computing and to medical students and practicing doctors.

  • 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.

  • 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.

  • Newnes Communications Technology Handbook

    • 1st Edition
    • Geoff Lewis
    • English
    Newnes Communications Technology Handbook provides a discussion on different topics relevant to communications technology. The book is comprised of 39 chapters that tackle a wide variety of concern in communications technology. The coverage of the text includes technologies, such as analog digital communications systems, radio frequency receiver, and satellite systems. The book also discusses some methods and techniques used in communications technology, including mixer signal processing, modulation and demodulation, and spread spectrum techniques. The text will be of great use to engineers, technicians, and professionals involved in telecommunications.

  • 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.

  • 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.

  • 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.

  • 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.

  • 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.

  • Farm Planning with Linear Programming: Concept and Practice

    • 1st Edition
    • J B Dent + 2 more
    • English
    Farm Planning with Linear Programming: Concept and Practice focuses on concepts and methods in farm planning. The book first discusses the principles of farm planning, including elements of farm planning problems, summary, and review questions. The text highlights farm planning models. The nature of models; commonly used farm planning models; multiple constraint problems and program planning; problems in applying models; and comments are considered. The book also focuses on the linear programming network; opportunity cost and the simplex method; and analysis of the linear programming solution. The text also explains tableaux construction for short-run planning. Crop and pasture rotations; feed budgeting; buy, sell, and hire activities; and livestock reconciliation are discussed. The book also describes pastoral property applications. Breed comparison; economics of off-farm grazing and spatial diversification; and optimal calving date and lactation length on dairy farms are discussed. The text is a good source of information for agricultural researchers, farmers, and students wanting to study farm management.

  • 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.

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