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Second Course in Ordinary Differential Equations for Scientists and Engineers

  • Textbook
  • © 1988

Overview

Authors:
  1. Mayer Humi

    1. Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, USA

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  2. William Miller

    1. Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Universitext (UTX)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xi
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  2. Review

    • Mayer Humi, William Miller
    Pages 1-16

  3. Boundary Value Problems

    • Mayer Humi, William Miller
    Pages 17-59

  4. Special Functions

    • Mayer Humi, William Miller
    Pages 60-130

  5. Systems of Ordinary Differential Equations

    • Mayer Humi, William Miller
    Pages 131-168

  6. Applications of Symmetry Principles to Differential Equations

    • Mayer Humi, William Miller
    Pages 169-209

  7. Equations with Periodic Coefficients

    • Mayer Humi, William Miller
    Pages 210-227

  8. Greens’s Functions

    • Mayer Humi, William Miller
    Pages 228-262

  9. Perturbation Theory

    • Mayer Humi, William Miller
    Pages 263-307

  10. Phase Diagrams and Stability

    • Mayer Humi, William Miller
    Pages 308-355

  11. Catastrophes and Bifurcations

    • Mayer Humi, William Miller
    Pages 356-400

  12. Sturmian Theory

    • Mayer Humi, William Miller
    Pages 401-433

  13. Back Matter

    Pages 435-441
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Keywords

About this book

The world abounds with introductory texts on ordinary differential equations and rightly so in view of the large number of students taking a course in this subject. However, for some time now there is a growing need for a junior-senior level book on the more advanced topics of differential equations. In fact the number of engineering and science students requiring a second course in these topics has been increasing. This book is an outgrowth of such courses taught by us in the last ten years at Worcester Polytechnic Institute. The book attempts to blend mathematical theory with nontrivial applications from varipus disciplines. It does not contain lengthy proofs of mathemati~al theorems as this would be inappropriate for its intended audience. Nevertheless, in each case we motivated these theorems and their practical use through examples and in some cases an "intuitive proof" is included. In view of this approach the book could be used also by aspiring mathematicians who wish to obtain an overview of the more advanced aspects of differential equations and an insight into some of its applications. We have included a wide range of topics in order to afford the instructor the flexibility in designing such a course according to the needs of the students. Therefore, this book contains more than enough material for a one semester course.

Authors and Affiliations

  • Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, USA

    Mayer Humi, William Miller

Bibliographic Information

  • Book Title: Second Course in Ordinary Differential Equations for Scientists and Engineers

  • Authors: Mayer Humi, William Miller

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4612-3832-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1988

  • Softcover ISBN: 978-0-387-96676-2Published: 16 December 1987

  • eBook ISBN: 978-1-4612-3832-4Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XI, 441

  • Topics: Analysis

  • Industry Sectors: Energy, Utilities & Environment, Engineering, IT & Software

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