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Differential Equations

Differential Equations - 98 edition

ISBN13: 978-0534345501

Cover of Differential Equations 98 (ISBN 978-0534345501)
ISBN13: 978-0534345501
ISBN10: 0534345506
Cover type:
Edition/Copyright: 98
Publisher: Brooks/Cole Publishing Co.
Published: 1998
International: No

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Differential Equations - 98 edition

ISBN13: 978-0534345501

Blanchard. Paul, Robert L. Devaney and Glen R. Hall

ISBN13: 978-0534345501
ISBN10: 0534345506
Cover type:
Edition/Copyright: 98
Publisher: Brooks/Cole Publishing Co.

Published: 1998
International: No
Summary

This is one of those rare texts that pioneers a new way of teaching a subject. Differential Equations strikes a balance between analytic, numeric, and graphical techniques, emphasizes modeling, stresses qualitative theory throughout the course, uses technology significantly and consistently, presents linear and nonlinear systems in parallel, and includes an introduction to discrete models of dynamical systems. This text grew out of the Boston University Differential Equations Project endowed in part by the National Science Foundation.

  • Throughout this text, technology is used as a tool for illustration, experimentation, and discovery. Using computer graphics as a tool, students investigate systems such as the Lorenz attractor, the double pendulum, and chaotic behavior in logistic models.
  • Students gain a greater conceptual understanding with this text's emphasis on interpretation, qualitative description, lab reports, and written explanations.
  • The text encourages students to think graphically as well as analytically.
  • The authors include a chapter on discrete dynamical systems which forms a connection between the mathematics of differential equations developed in the text and recent research in mathematics.
  • Exercises encourage students to anticipate the effect of errors in initial conditions and system parameters on their modeled solutions.
  • The transition from first-order equations to first-order systems and second-order equations is now smoother and more natural.
  • Treatment of Laplace transforms is expanded.
  • Coverage of forcing and resonance, including more quantitative theory, is now enhanced.
  • Many new problems and figures have been added.
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