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MacMath 9. 2

a dynamical systems software package for the Macintosh

  • Book
  • © 1993

Overview

Authors:
  1. John H. Hubbard

    1. Department of Mathematics, Cornell University, Ithaca, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Beverly H. West

    1. Department of Mathematics, Cornell University, Ithaca, USA

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. The Mathematics

    1. Dynamical Systems

      • John H. Hubbard, Beverly H. West
      Pages 1-4

    2. Differential Equations

      • John H. Hubbard, Beverly H. West
      Pages 5-17

    3. Iteration

      • John H. Hubbard, Beverly H. West
      Pages 19-26

  3. The Programs

    1. Quick Synopsis of Programs

      • John H. Hubbard, Beverly H. West
      Pages 27-30

    2. General Overview of Program Operation

      • John H. Hubbard, Beverly H. West
      Pages 31-38

    3. Analyzer

      • John H. Hubbard, Beverly H. West
      Pages 39-46

    4. DiffEq

      • John H. Hubbard, Beverly H. West
      Pages 47-52

    5. Numerical Methods

      • John H. Hubbard, Beverly H. West
      Pages 53-57

    6. DiffEq, Phase Plane

      • John H. Hubbard, Beverly H. West
      Pages 59-66

    7. DiffEq, 3D Views

      • John H. Hubbard, Beverly H. West
      Pages 67-75

    8. 1D Periodic Equations

      • John H. Hubbard, Beverly H. West
      Pages 77-80

    9. Cascade

      • John H. Hubbard, Beverly H. West
      Pages 81-86

    10. 2D Iterations

      • John H. Hubbard, Beverly H. West
      Pages 87-94

    11. EigenFinder

      • John H. Hubbard, Beverly H. West
      Pages 95-99

    12. JacobiDraw

      • John H. Hubbard, Beverly H. West
      Pages 101-105

    13. Fourier

      • John H. Hubbard, Beverly H. West
      Pages 107-110

    14. Planets

      • John H. Hubbard, Beverly H. West
      Pages 111-120

  4. The Mathematics Revisited — Technical Reference

    1. Linear Dynamical Systems

      • John H. Hubbard, Beverly H. West
      Pages 121-129

    2. Bifurcations

      • John H. Hubbard, Beverly H. West
      Pages 131-139
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Keywords

About this book

MacMath is a scientific toolkit for the Macintosh ™ computer developed by John H. Hubbard and Beverly H. West, consisting of twelve graphics programs. It supports mathematical computation and experimentation in dynamical systems, both for differential equations and for iteration. The MacMath package was designed to accompany the textbook Differential Equations: A Dynamical Sys­ tems Approach, also by J. H. Hubbard and B. H. West (Part I, One Dimensional Equations, 1990; Part II, Higher Dimensional Systems, 1991; Springer-Verlag). We have developed this text and software for a junior-senior level course in Applicable Mathematics at Cornell University, in order to take advantage of the new qualitative and geometric insights made possible by the advent of excellent and easily accessible graphics. Our primary reasons are two: 1. A picture is worth a thousand words. Graphics are far more than just a luxury - the human brain is made to process visual information; more information can be assimilated in a few seconds of looking at a graphics output than in months of analyzing a tabulated computer printout, perhaps a centimeter thick, carrying the same numerical information. 2. From qualitative analysis we can obtain excellent quantitative information.

Authors and Affiliations

  • Department of Mathematics, Cornell University, Ithaca, USA

    John H. Hubbard, Beverly H. West

Bibliographic Information

  • Book Title: MacMath 9. 2

  • Book Subtitle: a dynamical systems software package for the Macintosh

  • Authors: John H. Hubbard, Beverly H. West

  • DOI: https://doi.org/10.1007/978-3-662-25368-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-94135-4Published: 01 January 1993

  • eBook ISBN: 978-3-662-25368-7Published: 20 December 2013

  • Edition Number: 1

  • Number of Pages: VII, 177

  • Topics: Analysis

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