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  • Textbook
  • © 2011

Engineering Differential Equations

Theory and Applications

Authors:

  • Utilizes an abundance of examples

  • Streamlines three courses into one two semester course

  • Guides students to approach the mathematical subjects with much greater interest

  • Includes supplementary material: sn.pub/extras

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eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4419-7919-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 79.99
Price excludes VAT (USA)
Hardcover Book USD 109.99
Price excludes VAT (USA)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xix
  2. Introduction and Preliminaries

    • Bill Goodwine
    Pages 1-56
  3. Single Degree of Freedom Vibrations

    • Bill Goodwine
    Pages 123-160
  4. The Laplace Transform

    • Bill Goodwine
    Pages 279-328
  5. Classical Control Theory: Analysis

    • Bill Goodwine
    Pages 329-448
  6. Classical Control Theory: Design

    • Bill Goodwine
    Pages 449-484
  7. Partial Differential Equations

    • Bill Goodwine
    Pages 485-576
  8. Numerical Methods

    • Bill Goodwine
    Pages 577-630
  9. Introduction to Nonlinear Systems

    • Bill Goodwine
    Pages 631-681
  10. Back Matter

    Pages 683-745

About this book

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

Keywords

  • Classical Control
  • Numerical Methods
  • Ordinary Differential Equations
  • Partial Differential Equations
  • State Space Control
  • Vibrations

Reviews

From the reviews:

“This is a well-designed, clearly written book on modern differential equations and related topics primarily intended for use in a two-semester, upper-level undergraduate course for aerospace and mechanical engineers. … His style features many detailed examples and graphs. Chapters typically begin with a summary of and motivation for the content that follows, and end with an extensive exercise set. … Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (E. M. Aupperle, Choice, Vol. 48 (10), June, 2011)

“This textbook was developed from the materials used in a sequence of undergraduate courses taught by the author … . A distinguishing feature of this text is that it combines traditional engineering undergraduate differential equations with two applied topics … and contains material sufficient for two one-semester courses. … It is generously illustrated, contains many worked out examples and exercises. … A valuable source of information for students and engineers using differential equations for modeling and control.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1223, 2011)

Authors and Affiliations

  • Department of Aerospace and Mechanical E, University of Notre Dame, Notre Dame, USA

    Bill Goodwine

Bibliographic Information

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4419-7919-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 79.99
Price excludes VAT (USA)
Hardcover Book USD 109.99
Price excludes VAT (USA)