Overview
- Authors:
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Endre Pap
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Institute of Mathematics, University of Novi Sad, Novi Sad, Yugoslavia
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Arpad Takači
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Institute of Mathematics, University of Novi Sad, Novi Sad, Yugoslavia
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Djurdjica Takači
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Institute of Mathematics, University of Novi Sad, Novi Sad, Yugoslavia
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Table of contents (12 chapters)
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 1-16
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 17-48
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 49-70
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 71-142
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 143-182
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 183-226
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 227-248
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 249-278
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 279-302
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 303-328
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 329-372
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- Endre Pap, Arpad Takači, Djurdjica Takači
Pages 373-396
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Back Matter
Pages 397-404
About this book
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.
