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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.

  • Analytic Properties of Feynman Diagrams in Quantum Field Theory

    International Series of Monographs in Natural Philosophy
    • 1st Edition
    • I. T. Todorov
    • D. Ter Haar
    • English
    Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. This book is an elementary presentation of a self-contained exposition of the majorization method used in the study of these graphs. The author has taken the intermediate position between Eden et al. who assumes the physics of the analytic properties of the S-matrix, containing physical ideas and test results without using the proper mathematical methods, and Hwa and Teplitz, whose works are more mathematically inclined with applications of algebraic topology and homology theory. The book starts with the definition of the quadratic form of a Feynman diagram, and then explains the majorization of Feynman diagrams. The book describes the derivation of spectral representations, the dispersion relations for the nucleon-nucleon scattering amplitude, and for the corresponding partial wave amplitude. The text then analyzes the surface of singularities of a Feynman diagram with notes explaining the Cutkosky rules of the Mandelstam representation for the box diagram. This text is ideal for mathematicians, physicists dealing with quantum theory and mechanics, students, and professors in advanced mathematics.

  • Modern Syllabus Algebra

    The Commonwealth and International Library: Mathematical Topics
    • 1st Edition
    • D.G.H.B. Lloyd
    • C. Plumpton
    • English
    Modern Syllabus Algebra presents topics of traditional and modern algebra found in the Teachers Certificate and B.Ed, part I syllabuses of University Institutes of Education. It also contains additional exercises taken from examination papers of the University of London Institute of Education (the Teachers' Certificate). The book discusses several mathematical concepts such as sets, relations and functions, Boolean algebra, groups, and number systems. It also illustrates linear equations, matrices, and vector spaces and then demonstrates how to solve complex numbers and combine probabilities. Mathematics teachers will find this text a suitable and convenient way of bringing themselves up to date in what is now being taught in schools.

  • Safety of Computer Control Systems 1983 (Safecomp ' 83)

    Achieving Safe Real Time Computer Systems
    • 1st Edition
    • J. A. Baylis
    • English
    Safety of Computer Control Systems 1983: Achieving Safe Real Time Computer Systems contains the proceedings of the Third IFAC/IFIP Workshop held at Cambridge, UK on September 20-22, 1983. Composed of 36 chapters, separated into the eight sessions of the workshop, this book begins with a discussion of the safety and reliability of computer control systems. Subsequent chapters explore the systems design for safety and reliability; fault tolerance, recovery, and use of redundancy; and aspects of fault tolerance for system reliability. Other chapters detail specification techniques; system development and quality assurance; verifications and validations; case studies; as well as scheduling, networks, and communications.

  • Optimal Decisions

    Principles of Programming
    • 1st Edition
    • Oskar Lange
    • English
    Optimal Decisions: Principles of Programming deals with all important problems related to programming. This book provides a general interpretation of the theory of programming based on the application of the Lagrange multipliers, followed by a presentation of the marginal and linear programming as special cases of this general theory. The praxeological interpretation of the method of Lagrange multipliers is also discussed. This text covers the Koopmans' model of transportation, geometric interpretation of the programming problem, and nature of activity analysis. The solution of the problem by marginal analysis, Hurwitz and the Bayes-Laplace principles, and planning of production under uncertainty are likewise deliberated. This publication is a good source for researchers and specialists intending to acquire knowledge of the principles of programming.

  • Structural Analysis Systems

    Software — Hardware Capability — Compatibility — Applications
    • 1st Edition
    • A. Niku-Lari
    • English
    Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 1 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 22 chapters and begins with a brief description of the ADINA 84 system and its finite elements, material models, and solution capabilities. The discussion then turns to the analysis interpretive treatise and its database concept; the ANSYS program for engineering analysis; and the structural analysis capabilities of the boundary element analysis system BEASY. The following chapters explore other structural analysis programs such as DEFOR, FLASH, KYOKAI, PAFEC, and PANDA. General purpose finite element and boundary element computer programs for structural and solid mechanics applications are also described. This book will be a valuable resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

  • Mathematics with Understanding

    The Commonwealth and International Library: Mathematical Topics, Volume 2
    • 1st Edition
    • Harold Fletcher + 1 more
    • C. Plumpton
    • English
    Mathematics with Understanding: Book 2 is an eight-chapter book that begins with an explanation of the number systems. Fractions, rational numbers, systems of integers, algebraic relations, shape, and measurement are then described. The modular arithmetic and groups as well as probability are also explained. This book will be useful to students and teachers for a deeper understanding of the structure behind many mathematical ideas and processes.

  • Introductory Statistics

    • 1st Edition
    • M.H. Quenouille
    • English
    Introductory Statistics is an elementary non-mathematical manual on statistics and provides a connected account of the more common statistical tests. It is divided into two parts: the first part introduces the reader to elementary applications of statistical methods and the line of reasoning involved in their use, and the second part covers elementary parts of statistical theory and more advanced applications. This book consists of nine chapters and opens with a discussion on the presentation of sets of measurements, touching on topics such as sampling, grouping, measures of spread, and standard deviation. The following chapters deal with normal distribution and its applications; comparison of two or several sets of measurements; attributes and comparison of proportions; and interrelations of sets of measurements. Concomitant observations are also considered, along with transformations and non-normal distributions. The final chapter is devoted to sampling methods, including the ratio method and the regression method. This monograph is written primarily for students of statistics and aims to help research workers gain a fuller understanding of the methods used in the analysis of their results.

  • Exploring University Mathematics

    Lectures Given at Bedford College, London
    • 1st Edition
    • Mary Bradburn + 2 more
    • N. J. Hardiman
    • English
    Exploring University Mathematics, Volume 3 provides information pertinent to pure and applied mathematics. This book discusses the close relationship between mathematics and physics. Organized into seven chapters, this volume begins with an overview of the concept of mapping in mathematics, which provides a correspondence between elements of one set with elements of another. This text then examines the theory of inflatable structures in the study of the hovercrafs in two dimensions. Other chapters consider the explicit investigation of logic by mathematicians whereby mathematics has been conceived as pre-eminently a deductive science. This book discusses as well how Taylor's formula is used in various aspects, including integration, approximating functions, finding roots of algebraic equations, and solving differential equations in forms suitable for computer calculations. This book is intended to be suitable for students on a degree course in mathematics. Mathematicians, teachers, and research workers will also find this book extremely useful.

  • An Introduction to Real Analysis

    The Commonwealth and International Library: Mathematical Topics
    • 1st Edition
    • Derek G. Ball
    • C. Plumpton
    • English
    An Introduction to Real Analysis presents the concepts of real analysis and highlights the problems which necessitate the introduction of these concepts. Topics range from sets, relations, and functions to numbers, sequences, series, derivatives, and the Riemann integral. This volume begins with an introduction to some of the problems which are met in the use of numbers for measuring, and which provide motivation for the creation of real analysis. Attention then turns to real numbers that are built up from natural numbers, with emphasis on integers, rationals, and irrationals. The chapters that follow explore the conditions under which sequences have limits and derive the limits of many important sequences, along with functions of a real variable, Rolle's theorem and the nature of the derivative, and the theory of infinite series and how the concepts may be applied to decimal representation. The book also discusses some important functions and expansions before concluding with a chapter on the Riemann integral and the problem of area and its measurement. Throughout the text the stress has been upon concepts and interesting results rather than upon techniques. Each chapter contains exercises meant to facilitate understanding of the subject matter. This book is intended for students in colleges of education and others with similar needs.

  • Orthogonal Polynomials

    • 1st Edition
    • Géza Freud
    • English
    Orthogonal Polynomials contains an up-to-date survey of the general theory of orthogonal polynomials. It deals with the problem of polynomials and reveals that the sequence of these polynomials forms an orthogonal system with respect to a non-negative m-distribution defined on the real numerical axis. Comprised of five chapters, the book begins with the fundamental properties of orthogonal polynomials. After discussing the momentum problem, it then explains the quadrature procedure, the convergence theory, and G. Szegő's theory. This book is useful for those who intend to use it as reference for future studies or as a textbook for lecture purposes

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