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Birkhäuser

Nonlinear Physics with Maple for Scientists and Engineers

  • Book
  • © 1997

Overview

Authors:
  1. Richard H. Enns

    1. Department of Physics, Simon Fraser University, Burnaby, Canada

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    You can also search for this author in PubMed   Google Scholar

  2. George McGuire

    1. Department of Physics, University College of the Fraser Valley, Abbotsford, Canada

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • Richard H. Enns, George McGuire
    Pages 1-10

  3. Some Nonlinear Systems

    • Richard H. Enns, George McGuire
    Pages 11-70

  4. Topological Analysis

    • Richard H. Enns, George McGuire
    Pages 71-98

  5. Analytic Methods

    • Richard H. Enns, George McGuire
    Pages 99-144

  6. The Numerical Approach

    • Richard H. Enns, George McGuire
    Pages 145-182

  7. Limit Cycles

    • Richard H. Enns, George McGuire
    Pages 183-208

  8. Forced Oscillators

    • Richard H. Enns, George McGuire
    Pages 209-250

  9. Nonlinear Maps

    • Richard H. Enns, George McGuire
    Pages 251-290

  10. Nonlinear PDE Phenomena

    • Richard H. Enns, George McGuire
    Pages 291-316

  11. Numerical Simulation

    • Richard H. Enns, George McGuire
    Pages 317-344

  12. Inverse Scattering Method

    • Richard H. Enns, George McGuire
    Pages 345-362

  13. Back Matter

    Pages 363-389
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Keywords

About this book

Philosophy of the Text This text has been designed to be an introductory survey of the basic concepts and applied mathematical methods of nonlinear science. Students in engineer­ ing, physics, chemistry, mathematics, computing science, and biology should be able to successfully use this text. In an effort to provide the students with a cutting edge approach to one of the most dynamic, often subtle, complex, and still rapidly evolving, areas of modern research-nonlinear physics-we have made extensive use of the symbolic, numeric, and plotting capabilities of Maple V Release 4 applied to examples from these disciplines. No prior knowledge of Maple or computer programming is assumed, the reader being gently introduced to Maple as an auxiliary tool as the concepts of nonlinear science are developed. The diskette which accompanies the text gives a wide variety of illustrative nonlinear examples solved with Maple. An accompanying laboratory manual of experimental activities keyed to the text allows the student the option of "hands on" experience in exploring nonlinear phenomena in the REAL world. Although the experiments are easy to perform, they give rise to experimental and theoretical complexities which are not to be underestimated. The Level of the Text The essential prerequisites for the first eight chapters of this text would nor­ mally be one semester of ordinary differential equations and an intermediate course in classical mechanics.

Authors and Affiliations

  • Department of Physics, Simon Fraser University, Burnaby, Canada

    Richard H. Enns

  • Department of Physics, University College of the Fraser Valley, Abbotsford, Canada

    George McGuire

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