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Nonlinear Physics with Maple for Scientists and Engineers

  • Richard H. Enns
  • George McGuire

Table of contents

  1. Front Matter
    Pages i-x
  2. Richard H. Enns, George McGuire
    Pages 1-10
  3. Richard H. Enns, George McGuire
    Pages 11-70
  4. Richard H. Enns, George McGuire
    Pages 71-98
  5. Richard H. Enns, George McGuire
    Pages 99-144
  6. Richard H. Enns, George McGuire
    Pages 145-182
  7. Richard H. Enns, George McGuire
    Pages 183-208
  8. Richard H. Enns, George McGuire
    Pages 209-250
  9. Richard H. Enns, George McGuire
    Pages 251-290
  10. Richard H. Enns, George McGuire
    Pages 291-316
  11. Richard H. Enns, George McGuire
    Pages 317-344
  12. Richard H. Enns, George McGuire
    Pages 345-362
  13. Back Matter
    Pages 363-389

About this book

Introduction

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.

Keywords

MAPLE Nonlinear Physics algebraic computation algorithms chaos classical mechanics differential equation mechanics nonlinear system ordinary differential equation solution

Authors and affiliations

  • Richard H. Enns
    • 1
  • George McGuire
    • 2
  1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada
  2. 2.Department of PhysicsUniversity College of the Fraser ValleyAbbotsfordCanada

Bibliographic information