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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.

  • 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.

  • The Mathematica® Programmer

    • 1st Edition
    • Roman E. Maeder
    • English
    The Mathematica Programmer covers the fundamental programming paradigms and applications of programming languages. This book is organized into two parts encompassing 10 chapters. Part 1 begins with an overview of the programming paradigms. This part also treats abstract data types, polymorphism and message passing, object-oriented programming, and relational databases. Part 2 looks into the practical aspects of programming languages, including in lists and power series, fractal curves, and minimal surfaces. This book will prove useful to mathematicians and computer scientists.

  • 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.

  • Calculus

    • 3rd Edition
    • Stanley I. Grossman
    • English
    Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems. This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, proof of l'Hôpital's rule, and approximation using Taylor polynomials. Other topics include the rectangular coordinate system in space, higher-order partial derivatives, line integrals in space, and vibratory motion. This publication is valuable to students taking calculus.

  • Boundary Value Problems

    • 2nd Edition
    • David L. Powers
    • English
    Boundary Value Problems is a text material on partial differential equations that teaches solutions of boundary value problems. The book also aims to build up intuition about how the solution of a problem should behave. The text consists of seven chapters. Chapter 1 covers the important topics of Fourier Series and Integrals. The second chapter deals with the heat equation, introducing separation of variables. Material on boundary conditions and Sturm-Liouville systems is included here. Chapter 3 presents the wave equation; estimation of eigenvalues by the Rayleigh quotient is mentioned briefly. The potential equation is the topic of Chapter 4, which closes with a section on classification of partial differential equations. Chapter 5 briefly covers multidimensional problems and special functions. The last two chapters, Laplace Transforms and Numerical Methods, are discussed in detail. The book is intended for third and fourth year physics and engineering students.

  • Calculus with Analytic Geometry

    • 1st Edition
    • Harley Flanders + 1 more
    • English
    Calculus with Analytic Geometry presents the essentials of calculus with analytic geometry. The emphasis is on how to set up and solve calculus problems, that is, how to apply calculus. The initial approach to each topic is intuitive, numerical, and motivated by examples, with theory kept to a bare minimum. Later, after much experience in the use of the topic, an appropriate amount of theory is presented. Comprised of 18 chapters, this book begins with a review of some basic pre-calculus algebra and analytic geometry, paying particular attention to functions and graphs. The reader is then introduced to derivatives and applications of differentiation; exponential and trigonometric functions; and techniques and applications of integration. Subsequent chapters deal with inverse functions, plane analytic geometry, and approximation as well as convergence, and power series. In addition, the book considers space geometry and vectors; vector functions and curves; higher partials and applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

  • Mechanisms for Reliable Distributed Real-Time Operating Systems

    The Alpha Kernel
    • 1st Edition
    • J. Duane Northcutt
    • W. Rheinboldt + 1 more
    • English
    Mechanisms for Reliable Distributed Real-Time Operating Systems: The Alpha Kernel deals with the Alpha kernel, a set of mechanisms that support the construction of reliable, modular, decentralized operating systems for real-time control applications. An initial snapshot of the kernel design and implementation is provided. Comprised of seven chapters, this volume begins with a background on the Alpha operating system kernel and its implementation, followed by a description of the programming abstractions created for the Alpha kernel. The third chapter defines the client interface provided by the kernel in support of the given programming abstractions, while the fourth chapter focuses on the functional design of the kernel. The hardware on which the kernel was constructed, as well as the implications of this hardware on the design and implementation of the kernel, is also examined. The final chapter compares Alpha with other relevant operating systems such as Hydra, Cronus, Eden, Argus, Accent, and Locus. This book will appeal to computer scientists, systems designers, and undergraduate and graduate students of computer science.

  • Calculus of One Variable

    • 2nd Edition
    • Stanley I. Grossman
    • English
    Calculus of One Variable, Second Edition presents the essential topics in the study of the techniques and theorems of calculus. The book provides a comprehensive introduction to calculus. It contains examples, exercises, the history and development of calculus, and various applications. Some of the topics discussed in the text include the concept of limits, one-variable theory, the derivatives of all six trigonometric functions, exponential and logarithmic functions, and infinite series. This textbook is intended for use by college students.

  • Mathematical Methods in Computer Aided Geometric Design II

    • 1st Edition
    • Tom Lyche + 1 more
    • English
    Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and Bézier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

  • Introductory College Mathematics

    with Linear Algebra and Finite Mathematics
    • 1st Edition
    • Harley Flanders + 1 more
    • English
    Introductory College Mathematics: With Linear Algebra and Finite Mathematics is an introduction to college mathematics, with emphasis on linear algebra and finite mathematics. It aims to provide a working knowledge of basic functions (polynomial, rational, exponential, logarithmic, and trigonometric); graphing techniques and the numerical aspects and applications of functions; two- and three-dimensional vector methods; the fundamental ideas of linear algebra; and complex numbers, elementary combinatorics, the binomial theorem, and mathematical induction. Comprised of 15 chapters, this book begins with a discussion on functions and graphs, paying particular attention to quantities measured in the real number system. The next chapter deals with linear and quadratic functions as well as some of their applications. Tips on graphing are offered. Subsequent chapters focus on polynomial functions, along with graphs of factored polynomials; rational functions; exponential and logarithm functions; and trigonometric functions. Identities and inverse functions, vectors and matrices, and trigonometry are also explored, together with complex numbers, linear transformations, and the geometry of space. The book concludes by considering finite mathematics, with particular reference to mathematical induction and the binomial theorem. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

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