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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.

  • Workbook for Introductory Statistics for the Behavioral Sciences

    • 2nd Edition
    • Robert B. Ewen
    • English
    Workbook for Introductory Statistics for the Behavioral Sciences, Second Edition provides an introduction to the concepts of statistics. This book aims to help students obtain the necessary practice in a first course in statistics, which is essential to learning and understanding the material. This edition begins with an overview of summation notation exercises with additional computational practices. This text then provides computational exercises for regular frequency distributions, grouped frequency distributions, cumulative frequency distribution, graphic representations, measures of central tendency, measures of variability, and general transformations. This book discusses as well the probability and the general strategy of inferential statistics as well as the differences between the means of two populations. The reader is also introduced to the main advantage of nonparametric and distribution-free statistical tests in which they do not require the population being sampled to the normally distributed. This book is a valuable resource for students of behavioral and social sciences.

  • Applied Statistical Methods

    • 1st Edition
    • Irving W. Burr
    • J. William Schmidt
    • English
    Applied Statistical Methods covers the fundamental understanding of statistical methods necessary to deal with a wide variety of practical problems. This 14-chapter text presents the topics covered in a manner that stresses clarity of understanding, interpretation, and method of application. The introductory chapter illustrates the importance of statistical analysis. The next chapters introduce the methods of data summarization, including frequency distributions, cumulative frequency distributions, and measures of central tendency and variability. These topics are followed by discussions of the fundamental principles of probability, the concepts of sample spaces, outcomes, events, probability, independence of events, and the characterization of discrete and continuous random variables. Other chapters explore the distribution of several important statistics; statistical tests of hypotheses; point and interval estimation; and simple linear regression. The concluding chapters review the elements of single- and two-factor analysis of variance and the design of analysis of variance experiments. This book is intended primarily for advanced undergraduate and graduate students in the mathematical, physical, and engineering sciences, as well as in economics, business, and related areas. Researchers and line personnel in industry and government will find this book useful in self-study.

  • Applied Fuzzy Systems

    • 1st Edition
    • Toshiro Terano + 2 more
    • English
    Applied Fuzzy Systems provides information pertinent to the fundamental aspects of fuzzy systems theory and its application. This book discusses the development of high-level artificial intelligence and information processing systems, as well as the realization of fuzzy computers. Organized into six chapters, this book begins with an overview of the fundamental problems addressed by fuzzy systems. This text then reviews standard computer logic or two-valued Boolean algebra. Other chapters consider bus scheduling, evaluation of structural reliability, applications of schema systems for decision-making, and processing of natural-language information and systems for medical diagnosis as examples of fuzzy expert systems. This book discusses as well a practical fuzzy expert system for durability evaluations of reinforced concrete slabs for bridges, along with an example of application. The final chapter deals with the important parts of the construction of fuzzy computers, their architecture, and the outlook for the future. This book is a valuable resource for engineers, mathematicians, technicians, and research workers.

  • Mastering Mathematica®

    Programming Methods and Applications
    • 1st Edition
    • John W. Gray
    • English
    Mastering Mathematica®: Programming Methods and Applications presents the mathematical results and turn them into precise algorithmic procedures that can be executed by a computer. This book provides insight into more complex situations that can be investigated by hand. Organized into four parts, this book begins with an overview of the use of a pocket calculator. This text then looks in more detail at numerical calculations and solving equations, both algebraic and differential equations. Other parts consider the built-in graphics and show how to make pictures without programming. This book discusses as well the four styles of programming, namely, functional programming, imperative programming, rewrite programing, and object oriented programming. The reader is also introduced to differentiable mapping to show the analysis of critical points of functions and the developments in differential geometry that are required to study minimal surfaces. This book is a valuable resource for graduate students in mathematics, mathematics education, engineering, and the sciences.

  • Introductory Complex and Analysis Applications

    • 1st Edition
    • William R. Derrick
    • English
    Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications. This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier transformation, and infinite series. Organized into eight chapters, this book begins with an overview of the theory of functions of a complex variable. This text then examines the properties of analytical functions, which are all consequences of the differentiability of the function. Other chapters consider the converse of Taylor's Theorem, namely that convergent power series are analytical functions in their domain of convergence. This book discusses as well the Residue Theorem, which is of fundamental significance in complex analysis and is the core concept in the development of the techniques. The final chapter deals with the method of steepest descent, which is useful in determining the asymptotic behavior of integral representations of analytic functions. This book is a valuable resource for undergraduate students in engineering and mathematics.

  • Metric Affine Geometry

    • 1st Edition
    • Ernst Snapper + 1 more
    • English
    Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric. This book is organized into three chapters. Chapter 1 discusses nonmetric affine geometry, while Chapter 2 reviews inner products of vector spaces. The metric affine geometry is treated in Chapter 3. This text specifically discusses the concrete model for affine space, dilations in terms of coordinates, parallelograms, and theorem of Desargues. The inner products in terms of coordinates and similarities of affine spaces are also elaborated. The prerequisites for this publication are a course in linear algebra and an elementary course in modern algebra that includes the concepts of group, normal subgroup, and quotient group. This monograph is suitable for students and aspiring geometry high school teachers.

  • Theory of Machines and Computations

    Proceedings of an International Symposium on the Theory of Machines and Computations Held at Technion in Haifa, Israel, on August 16–19, 1971
    • 1st Edition
    • Zvi Kohavi + 1 more
    • English
    Theory of Machines and Computations consists of papers presented at the International Symposium on the Theory of Machines and Computations, held at Technion-Israel Institute of Technology in Haifa, Israel, in August 1971. This book is organized into five main sections—computabili... theory, formal and stochastic languages, finite automata, fault-detection experiments, and switching theory. In these sections, this compilation specifically discusses the computationally complex and pseudo-random zero-one valued functions and rate of convergence of local iterative schemes. The simple syntactic operators on full semiAFLs, whirl decomposition of stochastic systems, and existence of a periodic analogue of a finite automaton are also elaborated. This text likewise covers the theorems on additive automata, fault location in iterative logic arrays, and tree-threshold-synth... of ternary functions. This publication is useful to practitioners and specialists interested in the theory of machines and computations.

  • Introductory Calculus

    With Analytic Geometry and Linear Algebra
    • 2nd Edition
    • A. Wayne Roberts
    • English
    Introductory Calculus: Second Edition, with Analytic Geometry and Linear Algebra is an introductory text on calculus and includes topics related to analytic geometry and linear algebra. Functions and graphs are discussed, along with derivatives and antiderivatives, curves in the plane, infinite series, and differential equations. Comprised of 15 chapters, this book begins by considering vectors in the plane, the straight line, and conic sections. The next chapter presents some of the basic facts about functions, the formal definition of a function, and the notion of a graph of a function. Subsequent chapters examine the derivative as a linear transformation; higher derivatives and the mean value theorem; applications of graphs; and the definite integral. Transcendental functions and how to find an antiderivative are also discussed, together with the use of parametric equations to determine the curve in a plane; how to solve linear equations; functions of several variables and the derivative and integration of these functions; and problems that lead to differential equations. This monograph is intended for students taking a two- or three-semester course in introductory calculus.

  • Test Bank for Precalculus

    Functions & Graphs
    • 1st Edition
    • Bernard Kolman + 2 more
    • English
    Test Bank for Precalculus: Functions & Graphs is a supplementary material for the text, Precalculus: Functions & Graphs. The book is intended for use by mathematics teachers. The book contains standard tests for each chapter in the textbook. Each set of test focuses on gauging the level of knowledge the student has achieved during the course. The answers for each chapter test and the final exam are found at the end of the book. Mathematics teachers teaching calculus will find the book extremely useful.

  • High Performance Computing Demystified

    • 1st Edition
    • David Loshin
    • English
    High Performance Computing Demystified provides an overview of high performance resources and their applications across many disciplines. This book is organized into five parts encompassing 16 chapters that cover the principles, mode of operation, and practical aspects of supercomputers. The first and second parts provide a brief history of high performance computing and describe the “basic” parts needed to build high performance computers, including high performance microprocessors and network topologies. The third part examines the features of multiprocessor architectures of high performance, such as the large number crunchers, massively parallel processing machines, and networks of workstations. The fourth part deals with the software paradigms for high performance, while the fifth part looks into the high performance computing resources that are available to the public, with some guide to accessing those resources. This book is intended primarily for engineers and business managers who have a basic understanding of computers and would like to learn about high performance computing.

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