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Differential and Integral Equations through Practical Problems and Exercises

  • Gheorghe Micula
  • Paraschiva Pavel

Part of the Kluwer Texts in the Mathematical Sciences book series (TMS, volume 7)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Problems

    1. Front Matter
      Pages 1-1
    2. Gheorghe Micula, Paraschiva Pavel
      Pages 3-29
    3. Gheorghe Micula, Paraschiva Pavel
      Pages 30-57
    4. Gheorghe Micula, Paraschiva Pavel
      Pages 58-89
    5. Gheorghe Micula, Paraschiva Pavel
      Pages 90-98
    6. Gheorghe Micula, Paraschiva Pavel
      Pages 99-108
    7. Gheorghe Micula, Paraschiva Pavel
      Pages 138-157
    8. Gheorghe Micula, Paraschiva Pavel
      Pages 158-167
  3. Solutions

    1. Front Matter
      Pages 169-169
    2. Gheorghe Micula, Paraschiva Pavel
      Pages 171-196
    3. Gheorghe Micula, Paraschiva Pavel
      Pages 197-242
    4. Gheorghe Micula, Paraschiva Pavel
      Pages 243-270
    5. Gheorghe Micula, Paraschiva Pavel
      Pages 271-278
    6. Gheorghe Micula, Paraschiva Pavel
      Pages 279-296
    7. Gheorghe Micula, Paraschiva Pavel
      Pages 324-392
  4. Back Matter
    Pages 393-397

About this book

Introduction

Many important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies being able to solve the differential and integral equations that model them. Such equations, and the development of techniques for solving them, have always held a privileged place in the mathematical sciences. Today, theoretical advances have led to more abstract and comprehensive theories which are increasingly more complex in their mathematical concepts. Theoretical investigations along these lines have led to even more abstract and comprehensive theories, and to increasingly complex mathematical concepts. Long-standing teaching practice has, however, shown that the theory of differential and integral equations cannot be studied thoroughly and understood by mere contemplation. This can only be achieved by acquiring the necessary techniques; and the best way to achieve this is by working through as many different exercises as possible. The eight chapters of this book contain a large number of problems and exercises, selected on the basis of long experience in teaching students, which together with the author's original problems cover the whole range of current methods employed in solving the integral, differential equations, and the partial differential equations of order one, without, however, renouncing the classical problems. Every chapter of this book begins with the succinct theoretical exposition of the minimum of knowledge required to solve the problems and exercises therein.

Keywords

Approximation Integral equation differential equation partial differential equation

Authors and affiliations

  • Gheorghe Micula
    • 1
  • Paraschiva Pavel
    • 1
  1. 1.Faculty of MathematicsUniversity of Cluj-NapocaCluj-NapocaRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8024-3
  • Copyright Information Springer Science+Business Media B.V. 1992
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4184-5
  • Online ISBN 978-94-015-8024-3
  • Series Print ISSN 0927-4529
  • Buy this book on publisher's site