Skip to main content
SpringerLink
Log in

Engineering Differential Equations

Theory and Applications

  • Textbook
  • © 2011

Overview

Authors:
  1. Bill Goodwine

    1. Department of Aerospace and Mechanical E, University of Notre Dame, Notre Dame, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Introduction and Preliminaries

    • Bill Goodwine
    Pages 1-56

  3. First-Order Ordinary Differential Equations

    • Bill Goodwine
    Pages 57-90

  4. Second-Order Linear Constant-Coefficient Ordinary Differential Equations

    • Bill Goodwine
    Pages 91-121

  5. Single Degree of Freedom Vibrations

    • Bill Goodwine
    Pages 123-160

  6. Variable-Coefficient Linear Ordinary Differential Equations

    • Bill Goodwine
    Pages 161-192

  7. Systems of First-Order Linear Constant-Coefficient Ordinary Differential Equations

    • Bill Goodwine
    Pages 193-248

  8. Applications of Systems of First-Order Equations

    • Bill Goodwine
    Pages 249-277

  9. The Laplace Transform

    • Bill Goodwine
    Pages 279-328

  10. Classical Control Theory: Analysis

    • Bill Goodwine
    Pages 329-448

  11. Classical Control Theory: Design

    • Bill Goodwine
    Pages 449-484

  12. Partial Differential Equations

    • Bill Goodwine
    Pages 485-576

  13. Numerical Methods

    • Bill Goodwine
    Pages 577-630

  14. Introduction to Nonlinear Systems

    • Bill Goodwine
    Pages 631-681

  15. Back Matter

    Pages 683-745
    Download chapter PDF
Back to top

Keywords

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.

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

Publish with us

Policies and ethics

Back to top

Search

Navigation