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  • © 2001

Nonlinear Physics with Mathematica for Scientists and Engineers

Birkhäuser

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Table of contents (46 chapters)

  1. Front Matter

    Pages i-xv
  2. Theory

    1. Front Matter

      Pages 1-2
    2. Introduction

      • Richard H. Enns, George C. McGuire
      Pages 3-38
    3. Nonlinear Systems. Part I

      • Richard H. Enns, George C. McGuire
      Pages 39-80
    4. Nonlinear Systems. Part II

      • Richard H. Enns, George C. McGuire
      Pages 81-124
    5. Topological Analysis

      • Richard H. Enns, George C. McGuire
      Pages 125-166
    6. Analytic Methods

      • Richard H. Enns, George C. McGuire
      Pages 167-222
    7. The Numerical Approach

      • Richard H. Enns, George C. McGuire
      Pages 223-264
    8. Limit Cycles

      • Richard H. Enns, George C. McGuire
      Pages 265-292
    9. Forced Oscillators

      • Richard H. Enns, George C. McGuire
      Pages 293-354
    10. Nonlinear Maps

      • Richard H. Enns, George C. McGuire
      Pages 355-412
    11. Nonlinear PDE Phenomena

      • Richard H. Enns, George C. McGuire
      Pages 413-450
    12. Numerical Simulation

      • Richard H. Enns, George C. McGuire
      Pages 451-490
    13. Inverse Scattering Method

      • Richard H. Enns, George C. McGuire
      Pages 491-510
  3. Experimental Activities

    1. Front Matter

      Pages 511-512
    2. Introduction to Nonlinear Experiments

      • Richard H. Enns, George C. McGuire
      Pages 513-516
    3. Magnetic Force

      • Richard H. Enns, George C. McGuire
      Pages 517-520
    4. Magnetic Tower

      • Richard H. Enns, George C. McGuire
      Pages 521-524
    5. Spin Toy Pendulum

      • Richard H. Enns, George C. McGuire
      Pages 525-528
    6. Driven Eardrum

      • Richard H. Enns, George C. McGuire
      Pages 529-532

About this book

Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

Reviews

"This book is a revision of an earlier work that looked at nonlinear physics using MAPLE® software. As with that work, Enns and McGuire incorporate theory, experiment, and numerical applications in a thorough introduction to a wide range of nonlinear topics. … The book assumes no familiarity with nonlinear physics or MATHEMATICA® . . . The authors do an extraordinary job of integrating application and theory. They provide applications from a variety of disciplines throughout the sections that introduce the theory and that look at methods of analysis and consider the various approaches to addressing nonlinear problems. It is not an exaggeration to say that this book considers all areas of interest in nonlinear analysis with solid introductions. (This reviewer, having taught the basics of nonlinear physics over the last 15 years, wishes he had had this book as a tutor.) Added to this are 33 experimental activities using MATHEMATICA® that demonstrate concepts and applied examples."

—Choice

Reviewer comments on the Maple edition of NONLINEAR PHYSICS:

"An...excellent book...the authors have been able to cover an extraordinary range of topics and hopefully excite a wide audience to investigate nonlinear phenomena...accessible to advanced undergraduates and yet challenging enough for graduate students and working scientists.... The reader is guided through it all with sound advice and humor....  I hope that many will adopt the text."
-American Journal of Physics

"Its organization of subject matter, clarity of writing, and smooth integration of analytic and computational techniques put it among the very best...Richard Enns and George McGuire have written an excellent text for introductory nonlinear physics."
-Computers in Physics

"...correctly balances a good treatment of nonlinear, but also nonchaotic, behavior of systems with some of the exciting findings about chaotic dynamics...one of the book'sstrength is the diverse selection of examples from mechanical, chemical, electronic, fluid and many other systems ....  Another strength of the book is the diversity of approaches that the student is encouraged to take...the authors have chosen well, and the trio of text,...software, and lab manual gives the newcomer to nonlinear physics quite an effective set of tools.... Basic ideas are explained clearly and illustrated with many examples."
-Physics Today

"... the care that the authors have taken to ensure that their text is as comprehensive, versatile, interactive, and student-friendly as possible place this book far above the average."
-Scientific Computing World

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 C. McGuire

Bibliographic Information

Buy it now

Buying options

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
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access