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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.

  • 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.

  • 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.

  • 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.

  • Structures and Stochastic Methods

    • 1st Edition
    • A.S. Cakmak
    • English
    Despite advances in the field of geotechnical earthquake engineering, earthquakes continue to cause loss of life and property in one part of the world or another. The Third International Conference on Soil Dynamics and Earthquake Engineering, Princeton University, Princeton, New Jersey, USA, 22nd to 24th June 1987, provided an opportunity for participants from all over the world to share their expertise to enhance the role of mechanics and other disciplines as they relate to earthquake engineering. The edited proceedings of the conference are published in four volumes. This volume covers: Structures, Dams, Retaining Walls and Slopes, Underground Structures, and Stochastic Methods. Together with its companion volumes, it is hoped that it will contribute to the further development of techniques, methods and innovative approaches in soil dynamics and earthquake engineering.

  • 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.

  • 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.

  • Probabilistic Approach to Mechanisms

    • 1st Edition
    • Volume 8
    • B.Z. Sandler
    • English
    This book discusses the application of probabilistics to the investigation of mechanical systems. The book shows, for example, how random function theory can be applied directly to the investigation of random processes in the deflection of cam profiles, pitch or gear teeth, pressure in pipes, etc. The author also deals with some other technical applications of probabilistic theory, including, amongst others, those relating to pneumatic and hydraulic mechanisms and roller bearings. Many of the aspects are illustrated by examples of applications of the techniques under discussion.

  • 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.

  • Linear Algebra

    Algorithms, Applications, and Techniques
    • 3rd Edition
    • Richard Bronson + 2 more
    • English
    In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications. The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructor's taste and to the length of the course. Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced and key material is highlighted in the text and summarized at the end of each chapter. The book also includes ample exercises with answers and hints. Prerequisite: One year of calculus is recommended.

  • Selected Constants Relative to Semi-Conductors

    Tables of Constants and Numerical Data Affiliated to The International Union of Pure and Applied Chemistry
    • 1st Edition
    • P Aigrain + 1 more
    • English
    Selected Constants Relative to Semi-Conductors presents the physical constants of semiconductors in Table form. The values of the electronic properties of semiconductors presented in the Table are parameters intended for use in theoretical and phenomenological equations relative to the band theory for these materials. In addition to data specific to band structure, the Table also includes mobilities of electrons and holes and their variation with temperature. Data of a general physical character are also presented, since the researcher very often finds use for values of this type. The following quantities are given when available: symmetry group and crystal parameters, refractive index, dielectric constant, effective ionic charge, work function, photoemission work function, piezoresistance coefficient, elastic coefficients, phonon temperature, Debye temperature, magnetic susceptibility, coefficient of linear expansion, fusion temperature, sublimation temperature, specific heat at constant pressure, latent heat of fusion, latent heat of sublimation, thermal conductivity, disorder factor, and density.

  • Radiolytic Yields

    Selected Constants
    • 1st Edition
    • M. Haïssinsky + 1 more
    • English
    Radiolytic Yields presents the results of quantitative research on the chemical effects of ionizing radiation. Radiation yields are expressed in terms of G: a number of molecules, of ions, of radicals, and of bonds. This two-chapter text specifically provides tabulated figured of radiolytic yields of inorganic compounds and aqueous solutions. The second chapter contains radiolytic yields of various organic compounds, including hydrocarbons, inorganic acid's esters, alcohols, ethers, aldehydes, ketones, amines, sterols, heterocyclic compounds, silicon compounds, chromoproteins, dyes, and high polymers.

  • Laboratory Statistics

    Handbook of Formulas and Terms
    • 1st Edition
    • Anders Kallner
    • English
    Laboratory Statistics: Handbook of Formulas and Terms presents common strategies for comparing and evaluating numerical laboratory data. In particular, the text deals with the type of data and problems that laboratory scientists and students in analytical chemistry, clinical chemistry, epidemiology, and clinical research face on a daily basis. This book takes the mystery out of statistics and provides simple, hands-on instructions in the format of everyday formulas. As far as possible, spreadsheet shortcuts and functions are included, along with many simple worked examples. This book is a must-have guide to applied statistics in the lab that will result in improved experimental design and analysis.

  • Spaces of Fundamental and Generalized Functions

    • 1st Edition
    • I. M. Gel'Fand + 1 more
    • English
    Spaces of Fundamental and Generalized Functions, Volume 2, analyzes the general theory of linear topological spaces. The basis of the theory of generalized functions is the theory of the so-called countably normed spaces (with compatible norms), their unions (inductive limits), and also of the spaces conjugate to the countably normed ones or their unions. This set of spaces is sufficiently broad on the one hand, and sufficiently convenient for the analyst on the other. The book opens with a chapter that discusses the theory of these spaces. This is followed by separate chapters on fundamental and generalized functions, Fourier transformations of fundamental and generalized functions, and spaces of type S.

  • Electronics and Computer Acronyms

    • 1st Edition
    • Phil Brown
    • English
    Electronics and Computer Acronyms presents a list of almost 2,500 acronyms related to electronics and computers. The material for this book is drawn from a number of subject areas, including electrical, electronics, computers, telecommunications, fiber optics, microcomputers/micro... audio, video, and information technology. The acronyms also encompass avionics, military, data processing, instrumentation, units, measurement, standards, services, organizations, associations, and companies. This dictionary offers a comprehensive and broad view of electronics and all that is associated with it. Cross-references are provided in the form of abbreviations within parentheses. For example, the entry for CCD, charge-coupled device, provides three cross-references: charge-transfer device (CTD), metal-oxide semiconductor (MOS), and capacitor (C,6). To broaden further the explanation, if required, referral to entries CTD, MOS, and C part 6 (C is a multiple entry with 10 parts) is advised. The system of prefixes and units used in the Système International d'Unités is followed throughout the book. This monograph is intended for students, engineers, and technicians as well as those with an interest in computers and electronics.

  • Advances in Computers

    • 1st Edition
    • Volume 91
    • 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 sugnificant, lasting value in this rapidly expanding field.

  • Numerical Methods for Roots of Polynomials - Part II

    • 1st Edition
    • Volume 16
    • J.M. McNamee + 1 more
    • English
    Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub. It includes many other methods and topics as well and has a chapter devoted to certain modern virtually optimal methods. Additionally, there are pointers to robust and efficient programs. This book is invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.

  • The Lambda Calculus

    Its Syntax and Semantics
    • 2nd Edition
    • Volume 103
    • H.P. Barendregt
    • English
    The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.

  • Misteaks

    And How to Find Them Before the Teacher Does
    • 2nd Edition
    • Barry Cipra
    • English
    This unusual, but very useful, "how-not-to" book is available in a second edition which eliminates most involuntary mistakes.

  • The Linear Complementarity Problem

    • 1st Edition
    • Richard W. Cottle + 2 more
    • English
    During the past twenty years, the linear complementarity problem has emerged as an important development in mathematical programming and numerical linear algebra. The Linear Complementarity Problem is a text designed to be suitable for both classroom use and as a references for researchers. The book is ideal for graduate students pursuing an advanced degree in operations research, but it is also of importance for many related fields of study, such as: computer science, applied mathematics, engineering, business studies, etc.

  • Machine Learning: Theory and Applications

    • 1st Edition
    • Volume 31
    • English
    Statistical learning and analysis techniques have become extremely important today, given the tremendous growth in the size of heterogeneous data collections and the ability to process it even from physically distant locations. Recent advances made in the field of machine learning provide a strong framework for robust learning from the diverse corpora and continue to impact a variety of research problems across multiple scientific disciplines. The aim of this handbook is to familiarize beginners as well as experts with some of the recent techniques in this field.The Handbook is divided in two sections: Theory and Applications, covering machine learning, data analytics, biometrics, document recognition and security.

  • Alan Turing

    His Work and Impact
    • 1st Edition
    • S. Barry Cooper + 1 more
    • English
    In this 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP, readers will find many of the most significant contributions from the four-volume set of the Collected Works of A. M. Turing. These contributions, together with commentaries from current experts in a wide spectrum of fields and backgrounds, provide insight on the significance and contemporary impact of Alan Turing's work. Offering a more modern perspective than anything currently available, Alan Turing: His Work and Impact gives wide coverage of the many ways in which Turing's scientific endeavors have impacted current research and understanding of the world. His pivotal writings on subjects including computing, artificial intelligence, cryptography, morphogenesis, and more display continued relevance and insight into today's scientific and technological landscape. This collection provides a great service to researchers, but is also an approachable entry point for readers with limited training in the science, but an urge to learn more about the details of Turing's work.

  • Advances in Computers

    • 1st Edition
    • Volume 89
    • 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 sugnificant, lasting value in this rapidly expanding field.

  • Guide to Essential Math

    A Review for Physics, Chemistry and Engineering Students
    • 2nd Edition
    • Sy M. Blinder
    • English
    This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations.

  • Chi-Squared Goodness of Fit Tests with Applications

    • 1st Edition
    • Narayanaswamy Balakrishnan + 2 more
    • English
    Chi-Squared Goodness of Fit Tests with Applications provides a thorough and complete context for the theoretical basis and implementation of Pearson’s monumental contribution and its wide applicability for chi-squared goodness of fit tests. The book is ideal for researchers and scientists conducting statistical analysis in processing of experimental data as well as to students and practitioners with a good mathematical background who use statistical methods. The historical context, especially Chapter 7, provides great insight into importance of this subject with an authoritative author team. This reference includes the most recent application developments in using these methods and models.

  • Mathematical Concepts and Methods in Modern Biology

    Using Modern Discrete Models
    • 1st Edition
    • Raina Robeva + 1 more
    • English
    Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software.

  • Analysis and Probability

    • 1st Edition
    • Aurel Spataru
    • English
    Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology and fundamental results of probability theory. Exercises are included throughout the text, not just at the end, to teach each concept fully as it is explained, including presentations of interesting extensions of the theory. The complete and detailed nature of the book makes it ideal as a reference book or for self-study in probability and related fields.

  • The Theory of Gambling and Statistical Logic

    • 2nd Edition
    • Richard A. Epstein
    • English
    Early in his rise to enlightenment, man invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling. Recent advances in the field, particularly Parrondo's paradox, have triggered a surge of interest in the statistical and mathematical theory behind gambling. This interest was acknowledge in the motion picture, "21," inspired by the true story of the MIT students who mastered the art of card counting to reap millions from the Vegas casinos. Richard Epstein's classic book on gambling and its mathematical analysis covers the full range of games from penny matching to blackjack, from Tic-Tac-Toe to the stock market (including Edward Thorp's warrant-hedging analysis). He even considers whether statistical inference can shed light on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study. The book is written at a fairly sophisticated mathematical level; this is not "Gambling for Dummies" or "How To Beat The Odds Without Really Trying." A background in upper-level undergraduate mathematics is helpful for understanding this work.

  • R and Data Mining

    Examples and Case Studies
    • 1st Edition
    • Yanchang Zhao
    • English
    R and Data Mining introduces researchers, post-graduate students, and analysts to data mining using R, a free software environment for statistical computing and graphics. The book provides practical methods for using R in applications from academia to industry to extract knowledge from vast amounts of data. Readers will find this book a valuable guide to the use of R in tasks such as classification and prediction, clustering, outlier detection, association rules, sequence analysis, text mining, social network analysis, sentiment analysis, and more.Data mining techniques are growing in popularity in a broad range of areas, from banking to insurance, retail, telecom, medicine, research, and government. This book focuses on the modeling phase of the data mining process, also addressing data exploration and model evaluation.With three in-depth case studies, a quick reference guide, bibliography, and links to a wealth of online resources, R and Data Mining is a valuable, practical guide to a powerful method of analysis.

  • An Introduction to Numerical Classification

    • 1st Edition
    • Bozzano G Luisa
    • English
    An Introduction to Numerical Classification describes the rationale of numerical analyses by means of geometrical models or worked examples without possible extensive algebraic symbolism. Organized into 13 chapters, the book covers both the taxonomic and ecological aspects of numerical classification. After briefly presenting different terminologies used in this work, the book examines several types of biological classification, including classification by structure, proximity, similarity, and difference. It then describes various ecological and taxonomic data manipulations, such as data reduction, transformation, and standardization. Other chapters deal with the criteria for best computer classification and the complexities and difficulties in this classification. These difficulties are illustrated by reference to studies of the ""bottom communities"" of benthic marine invertebrates, ranging across the entire field from the sampling program and nature of the data to problems over the type of computer used. The concluding chapters consider some of the measures of diversity and the interpretations which have been made from them, as well as the relationship of diversity to classification. The concept and application in biological classification of various multivariate analyses are also discussed in these texts. Supplemental texts on the information measures, partitioning, and interdependence of data diversity are also provided. This book is of value to biologists and researchers who are interested in basic biological numerical classification.

  • Mechanics, Analysis and Geometry: 200 Years after Lagrange

    • 1st Edition
    • M. Francaviglia
    • English
    Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.

  • Connected Computing Environment

    • 1st Edition
    • Volume 90
    • 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 sugnificant, lasting value in this rapidly expanding field.

  • Jets, Wakes, and Cavities

    • 1st Edition
    • Zarantonello Eduardo H. + 1 more
    • English
    Applied Mathematics and Mechanics, Volume 2: Jets, Wakes, and Cavities provides a systematic discussion of jets, wakes, and cavities. This book focuses on the general aspects of ideal fluid theory and examines the engineering applications of fluid dynamics. Organized into 15 chapters, this volume starts with an overview of the different types of jets and explores the atomization of jets in carburetors in connection with gasoline engine design. This text then emphasizes the formal treatment of special flows and examines the flows that are bounded by flat plates and free streamlines. Other chapters consider the flows that are bounded by the cavity behind a symmetric wedge. This book discusses as well the intuitive momentum and similarity considerations. The final chapter deals with several surprising physical complications. Mathematician, physicists, engineers, and readers interested in the fields of applied mathematics, experimental physics, hydraulics, and aeronautics will find this book extremely useful.

  • Boundary Value Problems For Second Order Elliptic Equations

    • 1st Edition
    • A.V. Bitsadze
    • English
    Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. The opening chapter deals with the fundamental aspects of the linear equations theory in normed linear spaces. This topic is followed by discussions on solutions of elliptic equations and the formulation of Dirichlet problem for a second order elliptic equation. A chapter focuses on the solution equation for the directional derivative problem. Another chapter surveys the formulation of the Poincaré problem for second order elliptic systems in two independent variables. This chapter also examines the theory of one-dimensional singular integral equations that allow the investigation of highly important classes of boundary value problems. The final chapter looks into other classes of multidimensional singular integral equations and related boundary value problems.

  • Asymptotic Wave Theory

    • 1st Edition
    • Maurice Roseau
    • English
    Asymptotic Wave Theory investigates the asymptotic behavior of wave representations and presents some typical results borrowed from hydrodynamics and elasticity theory. It describes techniques such as Fourier-Laplace transforms, operational calculus, special functions, and asymptotic methods. It also discusses applications to the wave equation, the elements of scattering matrix theory, problems related to the wave equation, and diffraction. Organized into eight chapters, this volume begins with an overview of the Fourier-Laplace integral, the Mellin transform, and special functions such as the gamma function and the Bessel functions. It then considers wave propagation, with emphasis on representations of plane, cylindrical or spherical waves. It methodically introduces the reader to the reflexion and refraction of a plane wave at the interface between two homogeneous media, the asymptotic expansion of Hankel's functions in the neighborhood of the point at infinity, and the asymptotic behavior of the Laplace transform. The book also examines the method of steepest descent, the asymptotic representation of Hankel's function of large order, and the scattering matrix theory. The remaining chapters focus on problems of flow in open channels, the propagation of elastic waves within a layered spherical body, and some problems in water wave theory. This book is a valuable resource for mechanics and students of applied mathematics and mechanics.

  • A Statistical Manual for Chemists

    • 2nd Edition
    • Edward Bauer
    • English
    A Statistical Manual for Chemists, Second Edition presents simple and fast statistical tools for data analysis of working chemists. This edition is organized into nine chapters and begins with an overview of the fundamental principles of the statistical techniques used in experimental data analysis. The subsequent chapters deal with the concept of statistical average, experimental design, and analysis of variance. The discussion then shifts to control charts, with particular emphasis on variable charts that are more useful to chemists and chemical engineers. A chapter focuses on the effect of correlated variables and their analysis using various tools. The concluding chapters deal with the theory and aspects of sampling and control of routine analysis. This edition is of great benefit to working chemists and chemical engineers.

  • Vacuum Engineering Calculations, Formulas, and Solved Exercises

    • 1st Edition
    • Armand Berman
    • English
    This book was written with two main objectives in mind - to summarize and organize the vast material of vacuum technology in sets of useful formulas, and to provide a collection of worked out exercises showing how to use these formulas for solving technological problems. It is an ideal reference source for those with little time to devote to a full mathematical treatment of the many problems issued in vacuum practice, but who have a working knowledge of the essentials of vacuum technology, elementary physics, and mathematics. This time saving book employs a problem-solving approach throughout, providing the methodology for computing vacuum parameters. References and solved exercises are appended to the end of each chapter.

  • Wavelets

    A Tutorial in Theory and Applications
    • 1st Edition
    • Volume 2
    • Bozzano G Luisa
    • English
    Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such as construction and analysis of wavelet bases to an introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding. A fairly extensive bibliography is also included in this volume.

  • Interactive Systems for Experimental Applied Mathematics

    • 1st Edition
    • Melvin Klerer
    • English
    Interactive Systems for Experimental Applied Mathematics is a collection of papers presented at the 1967 Association for Computing Machinery (ACM) Inc. Symposium on Interactive Systems for Experimental Mathematics, held in Washington, D.C. in conjunction with the ACM National Meeting. This book is organized into five parts encompassing 46 chapters. The opening part deals with the general criteria for interactive on-line systems that seem most important for the experimental solution of mathematical problems. This part specifically describes the AMTRAN, REDUCE, EASL, POSE, VENUS, and CHARYBDIS computer systems and languages. The next two parts cover the components of interactive systems, including coherent programming, interactive console, mathematical symbol processing, message system, and computer-aided instruction. The fourth part examines a scheme for permitting a user of conventional procedural programming languages, namely, FORTRAN, to test actual error propagation in numerical calculations. This part also describes the features of Analyst Assistance Program, an on-line graphically oriented conversational computing system designed to perform small nonrecurring numerical computations. The concluding part presents several implications of selected computer systems, the resulting problems, and their proposed solutions. This book is of great benefit to computer scientists and engineers, mathematicians, and undergraduate and graduate students in applied mathematics.

  • Modern Mathematical Methods In Technology

    • 1st Edition
    • Volume 17
    • S. Fenyo
    • English
    Modern Mathematical Methods in Technology deals with applied mathematics and its finite methods. The book explains the linear algebra, optimization theory, and elements of the theory of graphs. This book explains the matrix theory and analysis, as well as the applications of matrix calculus. It discusses the linear mappings, basic matrix operations, hypermatrices, vector systems, and other algebraic concepts. In addition, it presents the sequences, series, continuity, differentiation, and integration of matrices, as well as the analytical matrix functions. The book discusses linear optimization, linear programming problems, and their solution. It also describes transportation problems and their solution by Hungarian method, as well as convex optimization and the Kuhn-Tucker theorem. The book discusses graphs including sub-, complete, and complementary graphs. It also presents the Boolean algebra and Ford-Fulkerson theorem. This book is invaluable to Math practitioners and non-practitioners.

  • Dynamical Systems and Microphysics

    Geometry and Mechanics
    • 1st Edition
    • Andre Avez
    • English
    Dynamical Systems and Microphysics: Geometry and Mechanics contains the proceedings of the Second International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences in Udine, Italy on September 1-11, 1981. Contributors explore the geometry and mechanics of dynamical systems and microphysics and cover topics ranging from Lagrangian submanifolds and optimal control theory to Hamiltonian mechanics, linear dynamical systems, and the quantum theory of measurement. This volume is organized into six sections encompassing 30 chapters and begins with an introduction to geometric structures, mechanics, and general relativity. It considers an approach to quantum mechanics through deformation of the symplectic structure, giving a striking insight into the correspondence principle. The chapters that follow focus on the gauge invariance of the Einstein field, group treatment of the space of orbits in the Kepler problem, and stable configurations in nonlinear problems arising from physics. This book is intended for researchers and graduate students in theoretical physics, mechanics, control and system theory, and mathematics. It will also be profitably read by philosophers of science and, to some extent, by persons who have a keen interest in basic questions of contemporary mechanics and physics and some background in the physical and mathematical sciences.

  • Sample Size Methodology

    • 1st Edition
    • M. M. Desu
    • English
    One of the most important problems in designing an experiment or a survey is sample size determination and this book presents the currently available methodology. It includes both random sampling from standard probability distributions and from finite populations. Also discussed is sample size determination for estimating parameters in a Bayesian setting by considering the posterior distribution of the parameter and specifying the necessary requirements. The determination of the sample size is considered for ranking and selection problems as well as for the design of clinical trials. Appropriate techniques for attacking the general question of sample size determination in problems of estimation, tests of hypotheses, selection, and clinical trial design are all presented, and will help the reader in formulating an appropriate problem of sample size and in obtaining the solution. The book can be used as a text in a senior-level or a graduate course on sample size methodology.

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