Skip to main content
Elsevier

Academic Press

  • Algebraic Geometry and Commutative Algebra

    In Honor of Masayoshi Nagata
    • 1st Edition
    • Hiroaki Hijikata + 2 more
    • English
    Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups. The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.

  • Pascal-SC

    A Computer Language for Scientific Computation
    • 1st Edition
    • Gerd Bohlender + 2 more
    • Werner Rheinboldt + 1 more
    • English
    Perspectives in Computing, Vol. 17: Pascal-SC: A Computer Language for Scientific Computation focuses on the application of Pascal-SC, a programming language developed as an extension of standard Pascal, in scientific computation. The publication first elaborates on the introduction to Pascal-SC, a review of standard Pascal, and real floating-point arithmetic. Discussions focus on optimal scalar product, standard functions, real expressions, program structure, simple extensions, real floating-point arithmetic, vector and matrix arithmetic, and dynamic arrays. The text then examines functions and operators with arbitrary result types and solving problems with Pascal-SC. The book ponders on strings and text processing, dynamic arrays, and modules. Topics include declaration and use of modules, compatibility of static and dynamic arrays, dynamic result types of functions and operators, strings in procedures, functions, and operators, and declaration of string variables. The publication is a dependable reference for computer science experts and researchers interested in the application of Pascal-SC in scientific computation.

  • From Pixels to Animation

    An Introduction to Graphics Programming
    • 1st Edition
    • James Alan Farrell
    • English
    From Pixels to Animation: An Introduction to Graphics Programming deals with the C programming language, particularly for the Borland C and Microsoft C languages. The book reviews the basics of graphics programming, including graphics hardware, graphs, charts, changing colors, 3D graphics, high level functions provided by Borland and Microsoft C. The text also explains low-level graphics, getting around the limitations of standard, graphics libraries, SVGA programming, and creating graphics functions. Advanced topics include linear transformations, ray tracing, and fractals. The book explains in detail the aspect ratio of pixels (length of the pixel dot divided by its width), pixel colors, line styles, and the functions to create the graphic. The text also describes the presentation of a three-dimensional object by using perspective, shading, and texturing. Between the operating system, which carries out the instruction of the program, and the hardware, which displays the output of the program, is the Basic Input/Output Services (BIOS). The BIOS is a set of routine instruction inside the different parts or hardware devices in the computer. The book explains programing animation effects by utilizing routines provided by Microsoft or Borland. The text also notes that a programmer can create good animation effects by directly addressing the graphics adapter, bypassing the BIOS or the high-level routines created by Microsoft or Borland. The book is suitable for beginning programmers, computer science, operators, animators, and artists involved with computer aided designs.

  • Chaotic Dynamics and Fractals

    • 1st Edition
    • Michael F. Barnsley + 1 more
    • English
    Chaotic Dynamics and Fractals covers the proceedings of the 1985 Conference on Chaotic Dynamics, held at the Georgia Institute of Technology. This conference deals with the research area of chaos, dynamical systems, and fractal geometry. This text is organized into three parts encompassing 16 chapters. The first part describes the nature of chaos and fractals, the geometric tool for some strange attractors, and other complicated sets of data associated with chaotic systems. This part also considers the Henon-Hiles Hamiltonian with complex time, a Henon family of maps from C2 into itself, and the idea of turbulent maps in the course of presenting results on iteration of continuous maps from the unit interval to itself. The second part discusses complex analytic dynamics and associated fractal geometry, specifically the bursts into chaos, algorithms for obtaining geometrical and combinatorial information, and the parameter space for iterated cubic polynomials. This part also examines the differentiation of Julia sets with respects to a parameter in the associated rational map, permitting the formulation of Taylor series expansion for the sets. The third part highlights the applications of chaotic dynamics and fractals. This book will prove useful to mathematicians, physicists, and other scientists working in, or introducing themselves to, the field.

  • Differential Equations

    • 1st Edition
    • Shair Ahmad + 2 more
    • English
    Differential Equations is a collection of papers from the "Eight Fall Conference on Differential Equations" held at Oklahoma State University in October 1979. The papers discuss hyperbolic problems, bifurcation function, boundary value problems for Lipschitz equations, and the periodic solutions of systems of ordinary differential equations. Some papers deal with the existence of periodic solutions for nonlinearly perturbed conservative systems, the saddle-point theorem, the periodic solutions of the forced pendulum equation, as well as the structural identification (inverse) problem for illness-death processes. One paper presents an elementary proof of the work of deOliveira and Hale, and applies the stability for autonomous systems in the critical case of one zero root. Another paper explains the necessary and sufficient conditions for structural identification prior to application in states of illness-death processes. An illness-death process is a continuous Markov model with n illness (transient) states each having one (and only one) transfer into a death state. The paper examines two theorems whether these apply to an illness-death process under certain given elements. The collection is an ideal source of reference for mathematicians, students, and professor of calculus and advanced mathematics.

  • A Lexicon of Economics

    • 1st Edition
    • Kenyon A. Knopf
    • English
    A Lexicon of Economics compiles definitions and abbreviations of many commonly used economic terms and concepts. This book begins by providing a list of abbreviations, acronyms, and foreign phrases, followed by the definition of economic terms that are organized into alphabetical order. This compilation aims to address two difficulties in the idiom of economics—first is the exact use of a very specific definition for a common word that has many diverse meanings in everyday usage, and secondly, the interpretation of acronyms and abbreviations frequently used in economic and financial discussions. This monograph is suitable for professionals who want a handy, clear explanation of the economic terms they hear or read everyday.

  • Economics and Operational Research

    • 1st Edition
    • M. H. Beilby
    • English
    Economics and Operational Research explores the possible connections of the organization of human and material resources by concentrating on the interpretations of management decisions at various levels in the economy. This book discusses economics and mathematics as an analytical tool. Organized into 10 chapters, this book begins with an overview of how consumers manage their own budgets and how manufacturers select their production processes. This text then described generally how consumers and producers react to each other. Other chapters consider the problem of the transportation of goods through busy road networks and the efficiency attained through central planning. This book discusses as well the control of congestion that arises through decentralization and the construction of an overall planning model. The final chapter discusses the important aspects of national planning, wherein the collection of all consumers and producers makes up one large economic system. This book is a valuable resource for management and engineering personnel.

  • Iterative Solution of Large Linear Systems

    • 1st Edition
    • David M. Young
    • Werner Rheinboldt
    • English
    Iterative Solution of Large Linear Systems describes the systematic development of a substantial portion of the theory of iterative methods for solving large linear systems, with emphasis on practical techniques. The focal point of the book is an analysis of the convergence properties of the successive overrelaxation (SOR) method as applied to a linear system where the matrix is "consistently ordered". Comprised of 18 chapters, this volume begins by showing how the solution of a certain partial differential equation by finite difference methods leads to a large linear system with a sparse matrix. The next chapter reviews matrix theory and the properties of matrices, as well as several theorems of matrix theory without proof. A number of iterative methods, including the SOR method, are then considered. Convergence theorems are also given for various iterative methods under certain assumptions on the matrix A of the system. Subsequent chapters deal with the eigenvalues of the SOR method for consistently ordered matrices; the optimum relaxation factor; nonstationary linear iterative methods; and semi-iterative methods. This book will be of interest to students and practitioners in the fields of computer science and applied mathematics.

  • The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations

    • 1st Edition
    • A. K. Aziz
    • English
    The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.

  • International Economics and Development

    Essays in Honor of Raúl Prebisch
    • 1st Edition
    • Luis Eugenio Di Marco
    • English
    International Economics and Development: Essays in Honor of Raúl Prebisch provides information pertinent to the developments in the field of international economies as it relates to the problems of the underdeveloped countries. This book provides a brief biography of Professor Raúl Prebisch and his many contributions to international economics. Organized into eight parts encompassing 22 chapters, this book begins with an overview of the influence of Prebisch on Latin American international development policy. This text then examines the problem that has always been of real concern to the U.N. since the creation of the organization, namely, the social and economic development of underdeveloped countries. Other chapters consider the problem of economic development of the countries newly involved in the process of growth. This book discusses as well the relationship between stability conditions of real and monetary models of international trade. The final chapter deals with the characteristics of underdevelopment. This book is a valuable resource for economists.

Browse by Publisher