Second Course in Ordinary Differential Equations for Scientists and Engineers

  • Mayer Humi
  • William Miller

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Mayer Humi, William Miller
    Pages 1-16
  3. Mayer Humi, William Miller
    Pages 17-59
  4. Mayer Humi, William Miller
    Pages 60-130
  5. Mayer Humi, William Miller
    Pages 131-168
  6. Mayer Humi, William Miller
    Pages 169-209
  7. Mayer Humi, William Miller
    Pages 210-227
  8. Mayer Humi, William Miller
    Pages 228-262
  9. Mayer Humi, William Miller
    Pages 263-307
  10. Mayer Humi, William Miller
    Pages 308-355
  11. Mayer Humi, William Miller
    Pages 356-400
  12. Mayer Humi, William Miller
    Pages 401-433
  13. Back Matter
    Pages 435-441

About this book

Introduction

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.

Keywords

Boundary value problem Eigenvalue differential equation ordinary differential equation partial differential equation

Authors and affiliations

  • Mayer Humi
    • 1
  • William Miller
    • 1
  1. 1.Department of Mathematical SciencesWorcester Polytechnic InstituteWorcesterUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-3832-4
  • Copyright Information Springer-Verlag New York 1988
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96676-2
  • Online ISBN 978-1-4612-3832-4
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book
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