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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.

  • Fourier Analysis in Probability Theory

    • 1st Edition
    • Tatsuo Kawata
    • Z. W. Birnbaum + 1 more
    • English
    Fourier Analysis in Probability Theory provides useful results from the theories of Fourier series, Fourier transforms, Laplace transforms, and other related studies. This 14-chapter work highlights the clarification of the interactions and analogies among these theories. Chapters 1 to 8 present the elements of classical Fourier analysis, in the context of their applications to probability theory. Chapters 9 to 14 are devoted to basic results from the theory of characteristic functions of probability distributors, the convergence of distribution functions in terms of characteristic functions, and series of independent random variables. This book will be of value to mathematicians, engineers, teachers, and students.

  • Perspectives on Computer Science

    From the 10th Anniversary Symposium at the Computer Science Department, Carnegie-Mellon University
    • 1st Edition
    • Anita K. Jones
    • English
    Perspectives on Computer Science provides information pertinent to the fundamental aspects of computer science. This book discusses the weaknesses frequently found in minicomputers. Organized into 12 chapters, this book begins with an overview of the technological, economic, and human aspects of the environment in which PDP–11 was designed and built. This text then examines the set of techniques for tree searching. Other chapters consider a tutorial on automatic planning systems, with emphasis given to knowledge representation issues. This book discusses as well the classical least-fixedpoint approach toward recursive programs and examines the interplay between time and space determined by a variety of machine models. The final chapter deals with some of the primary influences in contemporary programming language design, namely, programming methodology, program specification, verification, and formal semantic definition techniques. This book is a valuable resource for students and teachers. Computer science theoreticians and mathematicians will also find this book useful.

  • Six-Figure Tables of Trigonometric Functions

    Mathematical Tables Series
    • 1st Edition
    • L. S. Khrenov
    • English
    THE PRESENT six-figure trigonometric tables complete the series of tables of the natural values of the trigonometric functions published by Fizmatgiz. Now that small computers have become very widely available, almost all computations are carried out by machine, and the majority of computational schemes arc suited to this purpose. The situation calls urgently for the availability of tables containing the natural values of all six trigonometric functions. The following special factor emerges here. In logarithmic computations the same relative accuracy is guaranteed more or less automatically for all values of the argument: the number of correct significant figures in the result is either equal to or (in rare cases) one less than, the number of significant figures in the mantissa of the logarithm. In computations with natural values of the functions the same relative accuracy is guaranteed in practice for all arguments only by having a constant nmber of significant figures throughout the tables. Until recently however, tables of the natural values of the trigonometric functions have been compiled both in Russia and abroad with the same number of places after the decimal point, which leads to a loss of accuracy when computing with functions of small angles. In view of this there is an urgent need for tables of the natural values of the trigonometric functions with a constant number of significant figures which substantially guarantees roughly the- same relative accuracy for all angles. The present tables, together with the following, already published by Fizmatgiz: Fil'e-figure Tables (L. S. Khrenov~ 1954), Five-.figure Tables l~,ith the Argument in Time (L. S. Khrenov, 1954), Seven-figure Tables(L. S. Khrenov, 1956) and Six-figure Tables with the Argunlent in Time (S. A. Angelov, 1957), form a complete series ~ith the same number of significant figures, satisfying the main requirements of a wide variety of computers. When compiling the present tables, use was made for purposes of collation of the following tables of the natural values of the trigonometric functions: The I)-figure Table..' of H. Andoyer, (Paris, 1915-1918), the Eight-figure Table of J. Peters (Berlin) J939), the Seven-figure Table of °L.S. Khrenov (2nd. ed., Gostekhizdat, 1956), the Seven-figure Table of H. C. Ives, and the Eight-figure Tables oj' the Logarith,l1.ft of NumberaV and oJ the Trigonometric functions of J. Bauschin.e;er and J. Peters (Geodezizdat, 1942 and 1944).

  • Fundamentals of Applied Probability and Random Processes

    • 2nd Edition
    • Oliver Ibe
    • English
    The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study.

  • The Handbook of Artificial Intelligence

    Volume 3
    • 1st Edition
    • Paul R. Cohen + 1 more
    • English
    The Handbook of Artificial Intelligence, Volume I focuses on the progress in artificial intelligence (AI) and its increasing applications, including parsing, grammars, and search methods. The book first elaborates on AI, AI handbook and literature, problem representation, search methods, and sample search programs. The text then ponders on representation of knowledge, including survey of representation techniques and representation schemes. The manuscript explores understanding natural languages, as well as machine translation, grammars, parsing, test generation, and natural language processing systems. The book also takes a look at understanding spoken language, including systems architecture and the ARPA SUR projects. The text is a valuable source of information for computer science experts and researchers interested in pursuing further research in artificial intelligence

  • French's Index of Differential Diagnosis

    • 7th Edition
    • Arthur H. Douthwaite
    • English
    AFTER the appearance of the sixth edition, Herbert French had resolved to take no active part in any future production. I decided that it was not only desirable but necessary to undertake considerable reconstruction in the next edition. Although the basic principles of diagnosis must be static for all time, the considerably increasedscope of investigation by accessory aids demanded the inclusion of much new material and in many instances the production of entirely re-written rather than revised articles, especially as many of the earlier contributors have died or retired. By a more logical division and allocation among new contributors, considerable overlapping or repetition evident in earlier editions has been avoided and has resulted, it is hoped, in a more compact and generally useful work. It will be noticed that the title has been altered to conform to the actual contents. By judicious pruning the index has been simplified and abbreviated whilst retaining all essential references. This has been carried out by the publishers, Messrs. John Wright & Sons, of Bristol, with an accuracy ensured from their wide experience. The highest standard of format and printing confidently expected has been maintained. For many of the illustrations I am indebted to Professor J. Whillis, who is in charge of the Department of Medical Illustration, Guy's Hospital, and to Dr. T. H. Hills, Director of the Department of Diagnostic Radiology, Guy's Hospital. In other cases acknowledgment of the source is appended to the picture. To the deletion of obsolete material and the inclusion of much that is new must be added the editorial complication of extensive cross-references when several independent contributors have to be correlated—a difficulty enhanced by the long interval that has been unavoidable between the submitting of manuscripts and publication. I have been exceptionally fortunate in having as counsellor, collaborator, and contributor Sir Adolphe Abrahams. He has spared no pains in respect of writing, proof-reading, and general advice to help me to carry on the work of my old teacher. To him I offer my warmest thanks

  • Advanced Calculus and Vector Field Theory

    • 1st Edition
    • Kathleen M. Urwin
    • English
    THIS book falls naturally into two parts. In Chapters 1-5 the basic ideas and techniques of partial differentiation, and of line, multiple and surface integrals are discussed. Chapters 6 and 7 give the elements of vector field theory, taking the integral definitions of the divergence and curl of a vector field as their starting points; the last chapter surveys very briefly some of the immediate applications of vector field theory to five branches of applied mathematics. Throughout I have given numerous worked examples. In these I have paid particular attention to those points which in my own experience I have found to give most difficulty to students. In the text I have denoted spherical polar coordinates by (/-, 0, ψ)9 and cylindrical polar coordinates by (p, ψ, ζ), so that ψ measures the same angle in both systems. Since there is no one standard notation for these systems, the reader will meet different notations in the course of his reading, and in quoting examination questions in the exercises I have kept to the notation of the originals. The Exercises at the end of each section are intended to give practice in the basic techniques just discussed. The Miscellaneous Exercises are more varied, and contain many examination questions.

  • Readings in Distributed Artificial Intelligence

    • 1st Edition
    • Alan H. Bond + 1 more
    • English
    Most artificial intelligence research investigates intelligent behavior for a single agent--solving problems heuristically, understanding natural language, and so on. Distributed Artificial Intelligence (DAI) is concerned with coordinated intelligent behavior: intelligent agents coordinating their knowledge, skills, and plans to act or solve problems, working toward a single goal, or toward separate, individual goals that interact. DAI provides intellectual insights about organization, interaction, and problem solving among intelligent agents. This comprehensive collection of articles shows the breadth and depth of DAI research. The selected information is relevant to emerging DAI technologies as well as to practical problems in artificial intelligence, distributed computing systems, and human-computer interaction. "Readings in Distributed Artificial Intelligence" proposes a framework for understanding the problems and possibilities of DAI. It divides the study into three realms: the natural systems approach (emulating strategies and representations people use to coordinate their activities), the engineering/science perspective (building automated, coordinated problem solvers for specific applications), and a third, hybrid approach that is useful in analyzing and developing mixed collections of machines and human agents working together. The editors introduce the volume with an important survey of the motivations, research, and results of work in DAI. This historical and conceptual overview combines with chapter introductions to guide the reader through this fascinating field. A unique and extensive bibliography is also provided.

  • Mathematical Methods

    A Course of Mathematics for Engineers and Scientists
    • 2nd Edition
    • Brian H. Chirgwin + 1 more
    • English
    Mathematical Methods is an introductory course on mathematical methods for students aiming for a first degree in engineering or science. Topics covered include differentiation and integration and their applications; the geometry of two dimensions, and complex numbers. Statistics and probability are also discussed. Comprised of eight chapters, this volume begins with an introduction to fundamental concepts, including the roots of equations; elementary two-dimensional coordinate geometry; limits and continuity; inequalities and quadratic forms; mathematical induction; and convergence. The discussion then turns to the techniques of differentiation and integration and their applications; the geometry of two dimensions; and complex numbers and their roots, together with trigonometric expansions. The book concludes with a chapter on statistics and probability, paying particular attention to the properties of a frequency distribution; some special probability distributions; normal distribution and the error function; and some probability problems. This monograph is intended for students taking a course in engineering or science.

  • Game Theory and Experimental Games

    The Study of Strategic Interaction
    • 1st Edition
    • Andrew M. Colman
    • Michael Argyle
    • English
    Game Theory and Experimental Games: The Study of Strategic Interaction is a critical survey of the essential ideas of game theory and the findings of empirical research on strategic interaction. Some experiments using lifelike simulations of familiar kinds of strategic interactions are presented, and applications of game theory to the study of voting, the theory of evolution, and moral philosophy are discussed. Comprised of 13 chapters, this volume begins with an informal definition of game theory and an outline of the types of social situations to which it applies. Games of skill, games of chance, and games of strategy are considered. Games of strategy are further subdivided into coordination, zero-sum, and mixed-motive varieties. Subsequent chapters deal with one-person games in which a solitary decision maker is pitted against Nature; the competitive nature of two-person, zero-sum games; the relationship between game theory and experimental games; and the mixed-motive character of variable-sum games that generate intrapersonal and interpersonal conflicts. Experiments with prisoner's dilemma as well as coalition, auction, and social dilemma games are also considered. Finally, some applications of game theory are described. This book is designed for advanced undergraduates, graduate students, and relevant practitioners in social psychology, sociology, economics, and politics, and in some cases for a rather broader public.

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