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Differential and Difference Equations through Computer Experiments

With Diskettes Containing PHASER: An Animator/Simulator for Dynamical Systems for IBM Personal Computers

  • Book
  • © 1989

Overview

Authors:
  1. Hüseyin Koçak

    1. Lefschetz Center for Dynamical Systems Division of Applied Mathematics, Brown University, Providence, USA
      Department of Mathematics and Computer Science, University of Miami, Coral Gables, USA

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Mathematical Synopsis

    1. Front Matter

      Pages 1-1
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    2. What is a Differential Equation?

      • Hüseyin Koçak
      Pages 3-11

    3. Numerical Methods

      • Hüseyin Koçak
      Pages 13-18

    4. What is a Difference Equation?

      • Hüseyin Koçak
      Pages 19-30

  3. Handbook of PHASER

    1. Front Matter

      Pages 31-33
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    2. Learning to Use PHASER

      • Hüseyin Koçak
      Pages 35-40

    3. Lessons with PHASER

      • Hüseyin Koçak
      Pages 41-86

    4. Reference Guide to Menus

      • Hüseyin Koçak
      Pages 87-111

  4. Library of Equations

    1. Front Matter

      Pages 113-113
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    2. Differential Equations

      • Hüseyin Koçak
      Pages 115-169

    3. Difference Equations

      • Hüseyin Koçak
      Pages 171-201

    4. What remains to be done?

      • Hüseyin Koçak
      Pages 203-204

  5. Back Matter

    Pages 205-224
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Keywords

About this book

Phaser is a sophisticated program for IBM personal com- puters, developed atBrown University by the author and some of his students, which enables usersto experiment with differential and difference equations and dynamical systems in an interactive environment using graphics. This book begins with a brief discussion of the geometric inter- pretation of differential equations and numerical methods, and proceeds to guide the student through the use of the program. To run Phaser, you need an IBM PC, XT, AT, or PS/2 with an IBM Color GRaphics Board (CGB), Enhanced Graphics Adapter (VGA). A math coprocessor is supported; however, one is not required for Phaser to run on the above hardware.

Authors and Affiliations

  • Lefschetz Center for Dynamical Systems Division of Applied Mathematics, Brown University, Providence, USA

    Hüseyin Koçak

  • Department of Mathematics and Computer Science, University of Miami, Coral Gables, USA

    Hüseyin Koçak

Bibliographic Information

  • Book Title: Differential and Difference Equations through Computer Experiments

  • Book Subtitle: With Diskettes Containing PHASER: An Animator/Simulator for Dynamical Systems for IBM Personal Computers

  • Authors: Hüseyin Koçak

  • DOI: https://doi.org/10.1007/978-1-4612-3610-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1989

  • Softcover ISBN: 978-0-387-96918-3Published: 19 December 1988

  • eBook ISBN: 978-1-4612-3610-8Published: 06 December 2012

  • Edition Number: 2

  • Number of Pages: XVII, 224

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Numerical Analysis, Analysis

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