Overview
- Authors:
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John H. Hubbard
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Department of Mathematics, Cornell University, Ithaca, USA
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Beverly H. West
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Department of Mathematics, Cornell University, Ithaca, USA
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Table of contents (21 chapters)
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The Mathematics
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- John H. Hubbard, Beverly H. West
Pages 1-4
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- John H. Hubbard, Beverly H. West
Pages 5-17
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- John H. Hubbard, Beverly H. West
Pages 19-26
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The Programs
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- John H. Hubbard, Beverly H. West
Pages 27-30
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- John H. Hubbard, Beverly H. West
Pages 31-38
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- John H. Hubbard, Beverly H. West
Pages 39-46
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- John H. Hubbard, Beverly H. West
Pages 47-52
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- John H. Hubbard, Beverly H. West
Pages 53-57
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- John H. Hubbard, Beverly H. West
Pages 59-66
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- John H. Hubbard, Beverly H. West
Pages 67-75
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- John H. Hubbard, Beverly H. West
Pages 77-80
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- John H. Hubbard, Beverly H. West
Pages 81-86
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- John H. Hubbard, Beverly H. West
Pages 87-94
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- John H. Hubbard, Beverly H. West
Pages 95-99
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- John H. Hubbard, Beverly H. West
Pages 101-105
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- John H. Hubbard, Beverly H. West
Pages 107-110
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- John H. Hubbard, Beverly H. West
Pages 111-120
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The Mathematics Revisited — Technical Reference
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- John H. Hubbard, Beverly H. West
Pages 121-129
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- John H. Hubbard, Beverly H. West
Pages 131-139
About this book
An updated collection of twelve interactive graphics programs for the Macintosh computer, addressing differential equations and iteration. These versatile programs greatly enhance the understanding of the mathematics in these topics. Qualitative analysis of the pictures leads to quantitative results and even to new mathematics. The MacMath programs encourage experimentation and vastly increase the number of examples to which a student may be quickly exposed. The are also ideal for exploring applications of differential equations and iteration, which roughly speaking form the interface between mathematics and the realworld. This is how mathematics models a changing situation, whether it be physical forces or predator-prey populations. MacMath permits easy investigation of various models, particularly in showing the effects of a change in parameters on ultimate behavior of the system.