Partial Differential Equations through Examples and Exercises

  • Endre Pap
  • Arpad Takači
  • Djurdjica Takači

Part of the Kluwer Texts in the Mathematical Sciences book series (TMS, volume 18)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 1-16
  3. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 17-48
  4. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 49-70
  5. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 71-142
  6. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 143-182
  7. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 183-226
  8. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 227-248
  9. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 249-278
  10. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 279-302
  11. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 303-328
  12. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 329-372
  13. Endre Pap, Arpad Takači, Djurdjica Takači
    Pages 373-396
  14. Back Matter
    Pages 397-404

About this book

Introduction

The book Partial Differential Equations through Examples and Exercises has evolved from the lectures and exercises that the authors have given for more than fifteen years, mostly for mathematics, computer science, physics and chemistry students. By our best knowledge, the book is a first attempt to present the rather complex subject of partial differential equations (PDEs for short) through active reader-participation. Thus this book is a combination of theory and examples. In the theory of PDEs, on one hand, one has an interplay of several mathematical disciplines, including the theories of analytical functions, harmonic analysis, ODEs, topology and last, but not least, functional analysis, while on the other hand there are various methods, tools and approaches. In view of that, the exposition of new notions and methods in our book is "step by step". A minimal amount of expository theory is included at the beginning of each section Preliminaries with maximum emphasis placed on well selected examples and exercises capturing the essence of the material. Actually, we have divided the problems into two classes termed Examples and Exercises (often containing proofs of the statements from Preliminaries). The examples contain complete solutions, and also serve as a model for solving similar problems, given in the exercises. The readers are left to find the solution in the exercises; the answers, and occasionally, some hints, are still given. The book is implicitly divided in two parts, classical and abstract.

Keywords

Sobolev space calculus complex systems differential equation distribution functional analysis hyperbolic equation modeling numerical methods partial differential equation wave equation

Authors and affiliations

  • Endre Pap
    • 1
  • Arpad Takači
    • 1
  • Djurdjica Takači
    • 1
  1. 1.Institute of Mathematics, University of Novi SadNovi SadYugoslavia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-5574-8
  • Copyright Information Kluwer Academic Publishers 1997
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6349-4
  • Online ISBN 978-94-011-5574-8
  • Series Print ISSN 0927-4529
  • About this book