Skip to main content
SpringerLink
Log in

Differential and Difference Equations through Computer Experiments

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

  • Textbook
  • © 1986

Overview

Authors:
  1. Hüseyin Koçak

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Mathematical Synopsis

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    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 31-31
      Download chapter PDF

    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
      Download chapter PDF

    2. Differential Equations

      • Hüseyin Koçak
      Pages 115-169

    3. Difference Equations

      • Hüseyin Koçak
      Pages 171-201

  5. Back Matter

    Pages 203-224
    Download chapter PDF
Back to top

Keywords

About this book

This is a somewhat unusual book with a dual purpose. First, it is a manual to help readers learn how to use PRASER, the program on the accompanying diskette for mM personal computers. Second, it is an illustrated guide to the wonderful world of experimental and theoretical dynamics, one which presents dozens of concrete examples ranging from the most rudimentary, appropriate for the beginning student, to the highly complex, suitable for the research mathematician. Before indicating what PRASER does and how it works, let me describe how it came a.bout. During the past decade the field of differential and difference equations has witnessed a remarkable explo­ sion of knowledge, not only in theory but also in applications to discip­ lines as diverse as biology and fluid mechanics. Computers have played a crucial role in this process by making possible detailed analyses of specific systems. In this regard, one need only mention the work of Lorenz on strange attractors and the discoveries of Feigenbaum on the bifurcations of interval maps.

Authors and Affiliations

  • Lefschetz Center for Dynamical Systems Division of Applied Mathematics, Brown University, Providence, 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/10.1007/978-1-4684-0271-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1986

  • Softcover ISBN: 978-1-4684-0273-5Published: 20 February 2012

  • eBook ISBN: 978-1-4684-0271-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVI, 224

  • Topics: Analysis, Numerical Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation