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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.

  • Non-Linear Transformations of Stochastic Processes

    • 1st Edition
    • P. I. Kuznetsov + 2 more
    • English
    Non-Linear Transformations of Stochastic Processes focuses on the approaches, methodologies, transformations, and computations involved in the non-linear transformations of stochastic processes. The selection first underscores some problems of the theory of stochastic processes and the transmission of random functions through non-linear systems. Discussions focus on the transformation of moment functions for the general non-linear transformation; conversion formulas for correlation functions; transformation of moment functions for the simplest type of non-linear transformation; and normalization of the linear system of probability distribution laws. The text then ponders on quasi-moment functions in the theory of random processes and correlation functions in the theory of the Brownian motion generalization of the Fokker-Planck equation. The manuscript elaborates on the correlation functions of random sequences of rectangular pulses; method of determining the envelope of quasi-harmonic fluctuations; and the problem of measuring electrical fluctuations with the aid of thermoelectric devices. The book then examines the effect of signal and noise on non-linear elements and the approximate method of calculating the correlation function of stochastic signals. The selection is a dependable source of information for researchers interested in the non-linear transformations of stochastic processes.

  • The Desktop Fractal Design Handbook

    • 1st Edition
    • Michael F. Barnsley
    • English
    The Desktop Fractal Design Handbook is a four-chapter introductory text to fractal geometry. The underlying algorithms are derived from mathematics, which is reflected in the images they produce. Chapter 1 provides an overview of the products of the desktop fractal design system. Chapter 2 describes the installation and operation of hardware and operating system of the design system, along with its maintenance. Chapter 3 outlines the use of the desktop fractal design system, specifically on hot to design fractals on the fractal design screen, maps, paintings, and help screens. Chapter 4 focuses on the many practical applications of fractals. This book will be of value to mathematicians, engineers, graphic artists, teachers, and students.

  • Study Guide for College Algebra and Trigonometry

    • 1st Edition
    • James W. Snow + 2 more
    • English
    Study Guide for College Algebra and Trigonometry is a supplement material to the basic text, College Algebra and Trigonometry. It is written to assist the student in learning mathematics effectively. The book provides detailed solutions to exercises found in the text. Students are encouraged to use these solutions to find a way to approach a problem. The Study Guide and Solutions Manual consists of four major components: basic concepts that should be learned from each unit, what was learned upon completion of each unit, solutions to selected problems, and a short chapter quiz, including the answers, covering the concepts and problem types. Students of algebra and trigonometry in the college level will find the book very useful.

  • Programming Primer for the Macintosh®

    Volume 1
    • 1st Edition
    • John M. May + 1 more
    • English
    Programming Primer for the Macintosh, Volume 1 focuses on the principles and operations of the Macintosh system. The publication first offers information on the development environment, creating a simple program with Symantec C++, and a review of C++. Discussions focus on pointers, handles, patterns, points, creating a source file, compiling the program, adding libraries, adding file to the subject, building an application, and useful tools. The text then takes a look at the Macintosh ROM, Mac programs and system software, and toolbox managers. Topics include menu, window, control, and dialog manager, alerts, desktop interface, event-driven programming, trap mechanism, interface and library files, stack frame incompatibility, and the relationship between an application and toolbox. The book examines QuickDraw, alerts, and dialogs, memory manager, and object-oriented programming. Concerns include structures, linked list example, new and delete operators, and handling lines, rectangles, round rectangles, ovals, arcs, and polygons The publication is a dependable reference for computer programmers and researchers interested in the Macintosh system.

  • Pattern-Directed Inference Systems

    • 1st Edition
    • D. A. Waterman + 1 more
    • English
    Pattern-Directed Inference Systems provides a description of the design and implementation of pattern-directed inference systems (PDIS) for various applications. The book also addresses the theoretical significance of PDIS for artificial intelligence and cognitive psychology. The book is divided into eight sections. The introduction provides a brief overview of pattern-directed inference systems, including a historical perspective, a review of basic concepts, and a survey of work in this area. Subsequent chapters address topics on architecture and design, methods for accessing and controlling rule based systems, methods for obtaining adaptive behavior via rule-based systems and cognitive modeling. Constructing models of human information processing, natural language understanding and multilevel systems and complexity are described as well. The last section discusses the earlier chapters in the book and provides a unifying set of principles for the PDIS formalism. Computer scientists, psychologists, engineers, and researchers in artificial intelligence will find the book very informative.

  • Generalized Inverses and Applications

    Proceedings of an Advanced Seminar Sponsored by the Mathematics Research Center, the University of Wisconsin—Madison, October 8 - 10, 1973
    • 1st Edition
    • M. Zuhair Nashed
    • English
    Generalized Inverses and Applications, contains the proceedings of an Advanced Seminar on Generalized Inverses and Applications held at the University of Wisconsin-Madison on October 8-10, 1973 under the auspices of the university's Mathematics Research Center. The seminar provided a forum for discussing the basic theory of generalized inverses and their applications to analysis and operator equations. Numerical analysis and approximation methods are considered, along with applications to statistics and econometrics, optimization, system theory, and operations research. Comprised of 14 chapters, this book begins by describing a unified approach to generalized inverses of linear operators, with particular reference to algebraic, topological, extremal, and proximinal properties. The reader is then introduced to the algebraic aspects of the generalized inverse of a rectangular matrix; the Fredholm pseudoinverse; and perturbations and approximations for generalized inverses and linear operator equations. Subsequent chapters deal with various applications of generalized inverses, including programming, games, and networks, as well as estimation and aggregation in econometrics. This monograph will be of interest to mathematicians and students of mathematics.

  • Neural Networks for Perception

    Human and Machine Perception
    • 1st Edition
    • Harry Wechsler
    • English
    Neural Networks for Perception, Volume 1: Human and Machine Perception focuses on models for understanding human perception in terms of distributed computation and examples of PDP models for machine perception. This book addresses both theoretical and practical issues related to the feasibility of both explaining human perception and implementing machine perception in terms of neural network models. The book is organized into two parts. The first part focuses on human perception. Topics on network model of object recognition in human vision, the self-organization of functional architecture in the cerebral cortex, and the structure and interpretation of neuronal codes in the visual system are detailed under this part. Part two covers the relevance of neural networks for machine perception. Subjects considered under this section include the multi-dimensional linear lattice for Fourier and Gabor transforms, multiple- scale Gaussian filtering, and edge detection; aspects of invariant pattern and object recognition; and neural network for motion processing. Neuroscientists, computer scientists, engineers, and researchers in artificial intelligence will find the book useful.

  • Vector and Operator Valued Measures and Applications

    • 1st Edition
    • Don H. Tucker + 1 more
    • English
    Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.

  • Computers and Data Processing

    International Edition
    • 1st Edition
    • Harvey M. Deitel + 1 more
    • English
    Computers and Data Processing provides information pertinent to the advances in the computer field. This book covers a variety of topics, including the computer hardware, computer programs or software, and computer applications systems. Organized into five parts encompassing 19 chapters, this book begins with an overview of some of the fundamental computing concepts. This text then explores the evolution of modern computing systems from the earliest mechanical calculating devices to microchips. Other chapters consider how computers present their results and explain the storage and retrieval of massive amounts of computer-accessible information from secondary storage devices. This book discusses as well the development installation, evaluation, and control of computer systems. The final chapter discusses the use of computers in the transportation systems and the ways in which they make possible other innovations in transportation. This book is a valuable resource for computer scientists, systems analysts, computer programmers, mathematicians, and computer specialists.

  • Study Guide for Applied Finite Mathematics

    • 3rd Edition
    • Nicholas A. Macri
    • English
    Study Guide for Applied Finite Mathematics, Third Edition is a study guide that introduces beginners to the fundamentals of finite mathematics and its various realistic and relevant applications. Some applications of probability, game theory, and Markov chains are given. Each chapter includes exercises, and each set begins with basic computational "drill" problems and then progresses to problems with more substance. Comprised of 10 chapters, this book begins with exercises related to set theory and concepts such as the union and intersection of sets. Exercises on Cartesian coordinate systems and graphs as well as linear programming from a geometric and algebraic point of view are then given. Subsequent chapters deal with matrices, the solution of linear systems, and applications; the simplex method for solving linear programming problems; and probability and probability models for finite sample spaces as well as permutations, combinations, and counting methods. Basic concepts in statistics are also considered, along with the mathematics of finance. Some applications of probability, game theory, and Markov chains are also considered. This monograph is intended for students and instructors of applied mathematics.

  • 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.

  • Introduction to Asymptotics and Special Functions

    • 1st Edition
    • F. W. J. Olver
    • English
    Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also considered. Comprised of seven chapters, this volume begins with an overview of the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on integrals of a real variable. Contour integrals are then examined, paying particular attention to Laplace integrals with a complex parameter and Bessel functions of large argument and order. Subsequent chapters focus on differential equations having regular and irregular singularities, with emphasis on Legendre functions as well as Bessel and confluent hypergeometric functions. A chapter devoted to the Liouville-Green approximation tackles asymptotic properties with respect to parameters and to the independent variable, eigenvalue problems, and theorems on singular integral equations. This monograph is intended for students needing only an introductory course to asymptotics and special functions.

  • Handbook of Networking & Connectivity

    • 1st Edition
    • Gary R. McClain
    • English
    Handbook of Networking & Connectivity focuses on connectivity standards in use, including hardware and software options. The book serves as a guide for solving specific problems that arise in designing and maintaining organizational networks. The selection first tackles open systems interconnection, guide to digital communications, and implementing TCP/IP in an SNA environment. Discussions focus on elimination of the SNA backbone, routing SNA over internets, connectionless versus connection-oriented networks, internet concepts, application program interfaces, basic principles of layering, protocols and services, application layer, and conformance testing. The book then takes a look at integrated services digital network, an overview of the synchronous optical network, and X.25 and worldwide networking. The publication ponders on Metropolitan Area Networks (MAN), an overview of the switched multimegabit data service, and Ethernet/802.3 and Token Ring/802.5. Topics include Ethernet versus token ring, Ethernet/802.3, customer network management, MAN conception and technology, and SMDS specifications and sources and interface protocol. The selection is a vital source of data for systems professionals and researchers interested in networking and connectivity.

  • Practical Parallel Computing

    • 1st Edition
    • H. Stephen Morse
    • English
    Practical Parallel Computing provides information pertinent to the fundamental aspects of high-performance parallel processing. This book discusses the development of parallel applications on a variety of equipment. Organized into three parts encompassing 12 chapters, this book begins with an overview of the technology trends that converge to favor massively parallel hardware over traditional mainframes and vector machines. This text then gives a tutorial introduction to parallel hardware architectures. Other chapters provide worked-out examples of programs using several parallel languages. This book deals as well with benchmarking and performance estimation on parallel machines. The final chapter provides a structured, flexible methodology for selecting a parallel machine and for integrating it into operations. This book is a valuable resource for readers who are confronted with the practical realities of parallel computing for the first time. Mid-level technical managers, algorithm designers, computer scientists, and doctorate-level mathematicians will also find this book extremely useful.

  • Rational Politics

    Decisions, Games, and Strategy
    • 1st Edition
    • Steven J. Brams
    • English
    Rational Politics: Decisions, Games, and Strategy focuses on the unified presentation of politics as a rational human activity, including the paradox of voting and proportional representation. The publication first offers information on the study of rational politics, political intrigue in the Bible, and candidate strategies. Topics include the factor of timing in presidential primaries, rational positions in a multicandidate race, primacy of issues and their spatial representation, and politics in the story of Esther. The text then elaborates on voting paradoxes and the problems of representation, voting power, and threats and deterrence. Discussions focus on a sequential view of the Cuban missile crisis, use of threat power in Poland, power anomalies in the European Community Council of Ministers, probability of the paradox of voting, empirical examples of the paradox of voting, and problems in achieving proportional representation. The book is a valuable reference for researchers interested in rational politics.

  • Calculus Using Mathematica

    Scientific Projects and Mathematical Background
    • 1st Edition
    • K.D. Stroyan
    • English
    Calculus Using Mathematica: Scientific Projects and Mathematical Background is a companion to the core text, Calculus Using Mathematica. The book contains projects that illustrate applications of calculus to a variety of practical situations. The text consists of 14 chapters of various projects on how to apply the concepts and methodologies of calculus. Chapters are devoted to epidemiological applications; log and exponential functions in science; applications to mechanics, optics, economics, and ecology. Applications of linear differential equations; forced linear equations; differential equations from vector geometry; and to chemical reactions are presented as well. College students of calculus will find this book very helpful.

  • Object-Oriented Graphics Programming in C++

    • 1st Edition
    • Roger T. Stevens
    • English
    Object-Oriented Graphics Programming in C++ provides programmers with the information needed to produce realistic pictures on a PC monitor screen. The book is comprised of 20 chapters that discuss the aspects of graphics programming in C++. The book starts with a short introduction discussing the purpose of the book. It also includes the basic concepts of programming in C++ and the basic hardware requirement. Subsequent chapters cover related topics in C++ programming such as the various display modes; displaying TGA files, and the vector class. The text also tackles subjects on the processing of objects; how the ray tracing process works; how to put the program together and compile and run it; and animation. Computer programmers will find the book very useful.

  • Computers and the Cybernetic Society

    • 2nd Edition
    • Michael A. Arbib
    • English
    Computers and the Cybernetic Society, Second Edition examines the impact of computers on the cybernetic society and covers topics such as expert systems, management applications, and office automation. The idea of a computer program is considered, along with data banks and the movement and storage of information. Advances in computer technology are also discussed. Comprised of nine chapters, this book begins with an assessment of the interaction between computer developments and social pressures. The interplay between the exciting possibilities of computer networking and the social implications of computer technology is highlighted by focusing on planning networks and public information networks. The next two chapters provide a basic understanding of computers and programming by describing key concepts such as computer graphics, networks, microcomputers, and program design. The next five chapters give a comprehensive overview of the impact of computers on the cybernetic society. The final chapter explains how hardware works and describes the circuitry that computers use to execute a program at the level of machine-language instructions. This monograph is intended for both students and instructors in the fields of computer science and cybernetics.

  • Quick Reference to Computer Graphics Terms

    • 1st Edition
    • Roger T. Stevens
    • English
    Quick Reference to Computer Graphics Terms is a collection of technical terms used in computer graphics in a compact and convenient reference volume. The book lists a number of acronyms, phrases, and words that have specialized meanings in the field of computer graphics. The definitions provided are simple and easily understood. The author attempts to present, as much as possible, words and phrases that are widely used during the publication of the volume. Any terms not found in the book may be included in the next edition. Users of computers graphics and students will find the book useful.

  • Representation Theory of Finite Groups

    • 1st Edition
    • Martin Burrow
    • English
    Representation Theory of Finite Groups is a five chapter text that covers the standard material of representation theory. This book starts with an overview of the basic concepts of the subject, including group characters, representation modules, and the rectangular representation. The succeeding chapters describe the features of representation theory of rings with identity and finite groups. These topics are followed by a discussion of some of the application of the theory of characters, along with some classical theorems. The last chapter deals with the construction of irreducible representations of groups. This book will be of great value to graduate students who wish to acquire some knowledge of representation theory.

  • Stories About Sets

    • 1st Edition
    • N. Ya. Vilenkin
    • D. Allan Bromley + 2 more
    • English
    Stories About Sets discusses the cardinality of sets and mathematical concepts, such as function, curve, surface, dimensions, and the paradoxical properties of curves and surfaces. The book reviews sets, operations on sets, the empty set, subsets, the universal sets, intersection of sets, union of sets, partitioning of sets, and boolean algebras. The text also discusses the cardinality of sets, including equality between sets, countable sets, unequal sets, the uncountability of the continuum, the existence of transcendental numbers, and the enigmatic axiom. The book analyzes if a part can be equal to the whole (which turns out to be true if it is applied to infinite sets). The text also discusses the arithmetic of the infinite such as involving the multiplication of infinite cardinalities. The book explains some remarkable functions and curves, the Dirichlet's function, Cantor's set, points of fracture, and continuous functions whose graphs possess a tangent at no point. The text shows how to construct a closed curve of infinite length or a curve passing through all the points of a square. The book can prove interesting and highly educational for students with mathematic or algebra subjects, as well as for academicians involved in teaching statistics or mathematics.

  • Generative Modeling for Computer Graphics and Cad

    Symbolic Shape Design Using Interval Analysis
    • 1st Edition
    • John M. Snyder
    • English
    Generative Modeling for Computer Graphics and Cad: Symbolic Shape Design Using Interval Analysis presents a symbolic approach to shape representation that is useful to the CAD/CAM and computer graphics communities. This book discusses the kinds of operators useful in a geometric modeling system, including arithmetic operators, vector and matrix operators, integration, differentiation, constraint solution, and constrained minimization. Associated with each operator are several methods that compute properties about the parametric functions represented with the operators. This text also elaborates how numerous rendering and analytical operations can be supported with only three methods—evaluation of the parametric function at a point, symbolic differentiation of the parametric function, and evaluation of an inclusion function for the parametric function. This publication is intended for people working in the area of computational geometry who are interested in a robust class of algorithms for manipulating shapes and those who want to know how human beings can specify and manipulate shape.

  • Fractals Everywhere

    • 2nd Edition
    • Michael F. Barnsley
    • English
    Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing with the concepts and principles of spaces, contraction mappings, fractal construction, and the chaotic dynamics on fractals. Other chapters discuss fractal dimension and interpolation, the Julia sets, parameter spaces, and the Mandelbrot sets. The remaining chapters examine the measures on fractals and the practical application of recurrent iterated function systems. This book will prove useful to both undergraduate and graduate students from many disciplines, including mathematics, biology, chemistry, physics, psychology, mechanical, electrical, and aerospace engineering, computer science, and geophysical science.

  • Introductory Statistics for the Behavioral Sciences

    • 1st Edition
    • Joan Welkowitz + 2 more
    • English
    Introductory Statistics for the Behavioral Sciences provides an introduction to statistical concepts and principles. This book emphasizes the robustness of parametric procedures wherein such significant tests as t and F yield accurate results even if such assumptions as equal population variances and normal population distributions are not well met. Organized into three parts encompassing 16 chapters, this book begins with an overview of the rationale upon which much of behavioral science research is based, namely, drawing inferences about a population based on data obtained from a sample. This text then examines the primary goal of descriptive statistics to bring order out of chaos. Other chapters consider the concept of variability and its applications. This book discusses as well the essential characteristics of a group of scores. The final chapter deals with the chi-square analysis. This book is a valuable resource for students of statistics as well as for undergraduates majoring in psychology, sociology, and education.

  • Object-Oriented Simulation with Hierarchical, Modular Models

    Intelligent Agents and Endomorphic Systems
    • 1st Edition
    • Bernard P. Zeigler
    • English
    Object-Oriented Simulation with Hierarchical, Modular Models: Intelligent Agents and Endomorphic Systems describes an approach to object-oriented discrete event simulation and the concepts of hierarchical, modular model construction, The implementation of the concepts of multifaceted modeling methodology in the DEVS-Scheme modeling and simulation environment is discussed. The use of the DEVS-Scheme environment in modeling artificial intelligent agents is also considered, along with the concept of endomorphism to characterize the application of self-embedded models, including models of self. Comprised of 15 chapters, this book begins with an overview of the dimensions of knowledge representation in simulation environments, followed by a discussion on object-oriented programming as well as the concepts of modular, hierarchical models and the system entity structure. Subsequent chapters focus on digraph-models and experimental frames; DEVS formalism and DEVS-Scheme simulation environment; a model base for simple multi-computer architectures; and rule-based specification of atomic models. Model bases in endomorphic systems and intelligent agents are also examined. This monograph will be of interest to simulation theorists as well as practitioners and researchers in the fields of artificial intelligence, systems engineering, computer science and engineering, and operations research.

  • Contributions to Analysis

    A Collection of Papers Dedicated to Lipman Bers
    • 1st Edition
    • Lars V. Ahlfors + 2 more
    • English
    Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers is a compendium of papers provided by Bers, friends, students, colleagues, and professors. These papers deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. Other papers discuss quasiconformal mappings, function theory, differential equations, and differential topology. One paper discusses the results of the rigidity theorem of Mostow and its generalization by Marden in relation to geometric properties of Kleinian groups of the first kind. These results, obtained by planar methods, are presented in terms of the hyperbolic 3-space language, which is a natural pedestal in approaching the action of the Kleinian groups. Another paper reviews Riemann's vanishing theorem which solves the Jacobi inversion problem, by relating the vanishing properties of the theta function (particularly at half periods) to properties of certain linear series on the Riemann surface. One paper examines the problem of obtaining relations among the periods of the differentials of first kind on a compact Riemann surface. An application of a computer program involves supersonic transport. The program is based on the hodograph transformation and a method of complex characteristics to calculate profiles that are shock-less at a specified angle of attack, or at a specified subsonic free-stream Mach number. The collection can prove useful for engineers, statisticians, students, and professors in advance mathematics or courses related to aeronautics.

  • Elementary Differential Equations with Linear Algebra

    • 3rd Edition
    • Albert L. Rabenstein
    • English
    Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra. This book includes topics on numerical methods and Laplace transforms. Organized into nine chapters, this edition begins with an overview of an equation that involves a single unknown function of a single variable and some finite number of its derivatives. This text then examines a linear system of two equations with two unknowns. Other chapters consider a class of linear transformations that are defined on spaces of functions wherein these transformations are essential in the study of linear differential equations. This book discusses as well the linear differential equations whose coefficients are constant functions. The final chapter deals with the properties of Laplace transform in detail and examine as well the applications of Laplace transforms to differential equations. This book is a valuable resource for mathematicians, students, and research workers.

  • Efficient C/C++ Programming

    Smaller, Faster, Better
    • 2nd Edition
    • Steve Heller
    • English
    Efficient C/C++ Programming describes a practical, real-world approach to efficient C/C++ programming. Topics covered range from how to save storage using a restricted character set and how to speed up access to records by employing hash coding and caching. A selective mailing list system is used to illustrate rapid access to and rearrangement of information selected by criteria specified at runtime. Comprised of eight chapters, this book begins by discussing factors to consider when deciding whether a program needs optimization. In the next chapter, a supermarket price lookup system is used to illustrate how to save storage by using a restricted character set and how to speed up access to records with the aid of hash coding and caching. Attention is paid to rapid retrieval of prices. A selective mailing list system is then used to illustrate rapid access to and rearrangement of information selected by criteria specified at runtime. The book also considers the Huffman coding and arithmetic coding methods of data compression; a token-threaded interpreter whose code can run faster than equivalent compiled C code, due to its greater code density; a customer database program with variable-length records; and index and key access to variable-length records. The final chapter summarizes the characteristics of the algorithms encountered in previous chapters, as well as the future of the art of optimization. This monograph will be a useful resource for practicing computer programmers and those who intend to be working programmers.

  • Computer-Aided Processes in Instruction and Research

    • 1st Edition
    • George C. Beakley + 1 more
    • English
    Computer-Aided Processes in Instruction and Research describes the course content, computer performance software developed, and the manner that they are used by each student during the design process. This book describes the database that is developed to further aid students who use the digital computer. Organized into 24 chapters, this book begins with an overview of the design of an aerospace vehicle. This text then explains the fundamentals of microcomputers and the use of computer-aided data acquisition in a mechanical measurements course. Other chapters provide a brief explanation for the heavy use of graphics, which is applied when comparing graphical input to numerical input. This book presents as well a summary of work on a project that combines computer-aided instruction (CAI) and artificial intelligence (AI). The final chapter deals with the establishment of a joint venture between universities and industry whereby the university utilizes equipment provided by industry to solve some of the existing problems. This book is a valuable resource for engineering students and practicing engineers.

  • Mathematics for Dynamic Modeling

    • 1st Edition
    • Edward Beltrami
    • English
    Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.

  • An Introduction to Algebraic and Combinatorial Coding Theory

    • 1st Edition
    • Ian F. Blake + 1 more
    • English
    An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups. The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.

  • Capacity Planning for Computer Systems

    • 1st Edition
    • Tim Browning
    • English
    Capacity Planning for Computer Systems covers the principles, concepts, and practical application of capacity planning to computer systems. This book is divided into nine chapters and begins with an introduction to the foundation and metrics of capacity planning. The subsequent chapters deal with the business elements, service levels, forecasting, and predictions of capacity planning, along with the regression techniques, forecast monitoring, and revision for the field. The remaining chapters highlight the applications of capacity planning, including in systems optimization, computer disk, tape, and tape drive. These chapters also provide the charting and graphics presentations for capacity planning. This book will be of value to computer scientists and researchers.

  • Virtual Reality Excursions with Programs in C

    • 1st Edition
    • Christopher D. Watkins + 1 more
    • English
    Virtual Reality Excursions with Programs in C provides the history, theory, principles and an account of the milestones in the development of virtual reality technology. The book is organized into five chapters. The first chapter explores the applications in the vast field of virtual reality. The second chapter presents a brief history of the field and its founders. Chapter 3 discusses human perception and how it works. Some interesting notes and much of the hot debate in the field are covered in Chapter 4. The fifth chapter describes many of the complexities involved in implementing virtual environments on real equipment. Computer scientists and programmers will find the book interesting.

  • Graphical Enumeration

    • 1st Edition
    • Frank Harary + 1 more
    • English
    Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George Pólya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised of 10 chapters, this book begins with an overview of labeled graphs, followed by a description of the basic enumeration theorem of Pólya. The next three chapters count an enormous variety of trees, graphs, and digraphs. The Power Group Enumeration Theorem is then described together with some of its applications, including the enumeration of self-complementary graphs and digraphs and finite automata. Two other chapters focus on the counting of superposition and blocks, while another chapter is devoted to asymptotic numbers that are developed for several different graphical structures. The book concludes with a comprehensive definitive list of unsolved graphical enumeration problems. This monograph will be of interest to both students and practitioners of mathematics.

  • 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.

  • Programming for the Newton®

    Software Development with Newtonscriptâ„¢
    • 1st Edition
    • Julie McKeehan + 1 more
    • English
    Programming for the Newton: Software Development with NewtonScript focuses on the processes, approaches, operations, and principles involved in software development with NewtonScript. The publication first elaborates on Newton application design, views on the Newton, and protos. Discussions focus on system protos, creating and using user protos, linking and naming templates, creating the views of WaiterHelper, Newton application designs, and life cycle of an application. The text then elaborates on the fundamentals of NewtonScript, inheritance in NewtonScript, and view system and messages. Topics include InstallScript and RemoveScript, adding code to WaiterHelper, proto and parent inheritance, combining proto and parent inheritance, frames, arrays, and symbols and path expressions. The book ponders on debugging and Newton data storage, including description of methods and functions, handling soups in application, printing, tracking, and debugging functions. The publication is a vital reference for computer programmers and researchers interested in NewtonScript.

  • Introduction to Algebra and Trigonometry

    • 1st Edition
    • Bernard Kolman + 1 more
    • English
    Introduction to Algebra and Trigonometry provides a complete and self-contained presentation of the fundamentals of algebra and trigonometry. This book describes an axiomatic development of the foundations of algebra, defining complex numbers that are used to find the roots of any quadratic equation. Advanced concepts involving complex numbers are also elaborated, including the roots of polynomials, functions and function notation, and computations with logarithms. This text also discusses trigonometry from a functional standpoint. The angles, triangles, and applications involving triangles are likewise treated. Other topics include analytic geometry, conic sections, and use of a coordinate system to prove theorems from plane, and matrix operations and inverses. This publication is valuable to students aiming to gain more knowledge of the fundamentals of mathematics.

  • FORTRAN

    • 1st Edition
    • Samuel L. Marateck
    • English
    FORTRAN is written for students who have no prior knowledge of computers or programming. The book aims to teach students how to program using the FORTRAN language. The publication first elaborates on an introduction to computers and programming, introduction to FORTRAN, and calculations and the READ statement. Discussions focus on flow charts, rounding numbers, strings, executing the program, the WRITE and FORMAT statements, performing an addition, input and output devices, and algorithms. The text then takes a look at functions and the IF statement and the DO Loop, the IF-THEN-ELSE and the WHILE loop, including applications of the DO loop, the LOGICAL declaration statement, library functions, other applications of the IF statement, and writing REAL constants in exponential form. The manuscript ponders on subscripted variables, the DATA statement, and the implied DO loop, doubly subscripted variables and matrix multiplication, input/output, and functions, subprograms, and subroutines. Topics include statement functions, subprograms calling other subprograms, reading using X format, control characters, reading using F format, INTEGER subscripted variables, and matrix multiplication. The publication is a dependable source of data for computer programmers and students interested in the FORTRAN language.

  • Robustness of Statistical Tests

    • 1st Edition
    • Takeaki Kariya + 1 more
    • Gerald L. Lieberman + 1 more
    • English
    Robustness of Statistical Tests provides a general, systematic finite sample theory of the robustness of tests and covers the application of this theory to some important testing problems commonly considered under normality. This eight-chapter text focuses on the robustness that is concerned with the exact robustness in which the distributional or optimal property that a test carries under a normal distribution holds exactly under a nonnormal distribution. Chapter 1 reviews the elliptically symmetric distributions and their properties, while Chapter 2 describes the representation theorem for the probability ration of a maximal invariant. Chapter 3 explores the basic concepts of three aspects of the robustness of tests, namely, null, nonnull, and optimality, as well as a theory providing methods to establish them. Chapter 4 discusses the applications of the general theory with the study of the robustness of the familiar Student’s r-test and tests for serial correlation. This chapter also deals with robustness without invariance. Chapter 5 looks into the most useful and widely applied problems in multivariate testing, including the GMANOVA (General Multivariate Analysis of Variance). Chapters 6 and 7 tackle the robust tests for covariance structures, such as sphericity and independence and provide a detailed description of univariate and multivariate outlier problems. Chapter 8 presents some new robustness results, which deal with inference in two population problems. This book will prove useful to advance graduate mathematical statistics students.

  • Computing for Calculus

    • 1st Edition
    • Mark J. Christensen
    • English
    Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems. This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other topics include the Taylor polynomials, estimating the limit of a sequence, infinite series, and level curves and central projection of surfaces. This publication is beneficial to math students and specialists who use computer languages for educational purposes.

  • Proceedings of the Conference on Finite Groups

    • 1st Edition
    • William R. Scott + 1 more
    • English
    Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group. Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations. This book is a valuable resource for mathematicians, graduate students, and research workers.

  • The Mathematical Structure of Raster Graphics

    • 1st Edition
    • Eugene L. Fiume
    • English
    The Mathematical Structure of Raster Graphics presents a mathematical characterization of the structure of raster graphics, a popular and diverse form of computer graphics. The semantics and theory of the mathematical structure of raster graphics are discussed. Notations that help to clarify some of the concepts generally considered to be fundamental to computer graphics are included. Comprised of seven chapters, this book begins with a description of a general framework for specifying and manipulating scenes. Basic graphic entities, called primitive graphic objects, are defined using a simple notation over a Euclidean space. The reader is then introduced to a semantics of visibility; a mathematical semantics of rendering, developed using the very basic notion of measure; and a mathematical formalization of bit-mapped graphics. A framework for specifying illumination models is also described, along with the complexity of abstract ray tracing. This monograph will be a useful resource for undergraduate and graduate students, researchers, and practitioners in the fields of mathematics and computer graphics, and to those with some basic computer graphics background.

  • Representations of Finite Groups

    • 1st Edition
    • Hirosi Nagao + 1 more
    • English
    Representations of Finite Groups provides an account of the fundamentals of ordinary and modular representations. This book discusses the fundamental theory of complex representations of finite groups. Organized into five chapters, this book begins with an overview of the basic facts about rings and modules. This text then provides the theory of algebras, including theories of simple algebras, Frobenius algebras, crossed products, and Schur indices with representation-theor... versions of them. Other chapters include a survey of the fundamental theory of modular representations, with emphasis on Brauer characters. This book discusses as well the module-theoretic representation theory due to Green and includes some topics such as Burry–Carlson's theorem and Scott modules. The final chapter deals with the fundamental results of Brauer on blocks and Fong's theory of covering, and includes some approaches to them. This book is a valuable resource for readers who are interested in the various approaches to the study of the representations of groups.

  • Business Mathematics

    • 1st Edition
    • Michael Sentlowitz
    • English
    Business Mathematics deals with the concepts and problem-solving techniques used in business mathematics. Learning objectives are included at the beginning of each chapter to give the student an overview of the skills they can expect to master after completing the chapter, along with worked-out examples and practice exercises; drill problems and word problems; and post-tests that let students measure their problem-solving skills. Topics covered in this book include operations with whole numbers, decimals, fractions, and percent; sales and inventory; finance; business and personal expenses; borrowing and investing; and data analysis. Starting with the fourth chapter, a case study is included at the end of each chapter for an in-depth analysis and discussion of a hypothetical business-related situation. Optional subsections in each chapter deal with mental arithmetic skills. Step-by-step problem-solving procedures are translated into written formulas, located in easy-to-find boxes for quick reference. A chapter glossary includes definitions for all key terms introduced in the chapter. The answer key at the end of the text includes all the answers for the pretests and post-tests, plus the answers to odd-numbered exercises. This monograph is intended for instructors of business mathematics and for their students who want to understand the concepts and master the problem-solving techniques of business mathematics.

  • Generatingfunctionology

    • 1st Edition
    • Herbert S. Wilf
    • English
    Generatingfunctionol... provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of the method by giving a number of examples of problems that can be profitably thought about from the point of view of generating functions. Organized into five chapters, this book begins with an overview of the basic concepts of a generating function. This text then discusses the different kinds of series that are widely used as generating functions. Other chapters explain how to make much more precise estimates of the sizes of the coefficients of power series based on the analyticity of the function that is represented by the series. This book discusses as well the applications of the theory of generating functions to counting problems. The final chapter deals with the formal aspects of the theory of generating functions. This book is a valuable resource for mathematicians and students.

  • Applied Finite Mathematics

    • 2nd Edition
    • Howard Anton + 1 more
    • English
    Applied Finite Mathematics, Second Edition presents the fundamentals of finite mathematics in a style tailored for beginners, but at the same time covers the subject matter in sufficient depth so that the student can see a rich variety of realistic and relevant applications. Some applications of probability, game theory, and Markov chains are given. Comprised of 10 chapters, this book begins with an introduction to set theory, followed by a discussion on Cartesian coordinate systems and graphs. Subsequent chapters focus on linear programming from a geometric and algebraic point of view; matrices, the solution of linear systems, and applications; the simplex method for solving linear programming problems; and probability and probability models for finite sample spaces as well as permutations, combinations, and counting methods. Basic concepts in statistics are also considered, along with the mathematics of finance. The final chapter is devoted to computers and programming languages such as BASIC. This monograph is intended for students and instructors of applied mathematics.

  • Mathematical Tools for Applied Multivariate Analysis

    • 1st Edition
    • Paul E. Green
    • English
    Mathematical Tools for Applied Multivariate Analysis provides information pertinent to the aspects of transformational geometry, matrix algebra, and the calculus that are most relevant for the study of multivariate analysis. This book discusses the mathematical foundations of applied multivariate analysis. Organized into six chapters, this book begins with an overview of the three problems in multiple regression, principal components analysis, and multiple discriminant analysis. This text then presents a standard treatment of the mechanics of matrix algebra, including definitions and operations on matrices, vectors, and determinants. Other chapters consider the topics of eigenstructures and linear transformations that are important to the understanding of multivariate techniques. This book discusses as well the eigenstructures and quadratic forms. The final chapter deals with the geometric aspects of linear transformations. This book is a valuable resource for students.

  • Elementary Topology

    A Combinatorial and Algebraic Approach
    • 1st Edition
    • Donald W. Blackett
    • English
    Elementary Topology: A Combinatorial and Algebraic Approach focuses on the application of algebraic methods to topological concepts and theorems. The publication first elaborates on some examples of surfaces and their classifications. Discussions focus on combinatorial invariants of a surface, combinatorial equivalence, surfaces and their equations, topological surfaces, coordinates on a sphere and torus, and properties of the sphere and torus. The text then examines complex conics and covering surfaces and mappings into the sphere, including applications of the winding number in complex analysis, mappings into the plane, winding number of a plane curve, covering surfaces, and complex conies. The book examines vector fields, network topology, and three-dimensional topology. Topics include topological products and fiber bundles, manifolds of configurations, paths, circuits, and trees, vector fields and hydrodynamics, vector fields on a sphere, and vector fields and differential equations. The publication is highly recommended for sophomores, juniors, and seniors who have completed a year of 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.

  • Semigroups

    Proceedings of the Monash University Conference on Semigroups Held at the Monash University, Clayton, Victoria, Australia, October, 1979
    • 1st Edition
    • T. E. Hall + 2 more
    • English
    Semigroups is a collection of papers dealing with models of classical statistics, sequential computing machine, inverse semi-groups. One paper explains the structure of inverse semigroups that leads to P-semigroups or E-unitary inverse semigroups by utilizing the P-theorem of W.D. Nunn. Other papers explain the characterization of divisibility in the category of sets in terms of images and relations, as well as the universal aspects of completely simple semigroups, including amalgamation, the lattice of varieties, and the Hopf property. Another paper explains finite semigroups which are extensions of congruence-free semigroups, where their set of congruences forms a chain. The paper then shows how to construct such semigroups. A finite semigroup (which is decomposable into a direct product of cyclic semigroups which are not groups) is actually uniquely decomposable. One paper points out when a finite semigroup has such a decomposition, and how its non-group cyclic direct factors, if any, can be found. The collection can prove useful for mathematicians, statisticians, students, and professors of higher mathematics or computer science.

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