Partial Differential Equations through Examples and Exercises:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1997
|
| Series: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series
18 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XII, 404 p) |
| ISBN: | 9789401155748 9789401063494 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-94-011-5574-8 |
Staff View
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Record in the Search Index
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-5574-8 |
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| id | DE-604.BV042423989 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401155748 9789401063494 |
| issn | 0927-4529 |
| language | English |
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| physical | 1 Online-Ressource (XII, 404 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1997 |
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| publisher | Springer Netherlands |
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| series2 | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series |
| spelling | Pap, Endre Verfasser aut Partial Differential Equations through Examples and Exercises by Endre Pap, Arpad Takači, Djurdjica Takači Dordrecht Springer Netherlands 1997 1 Online-Ressource (XII, 404 p) txt rdacontent c rdamedia cr rdacarrier Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series 18 0927-4529 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 Mathematics Functional analysis Operator theory Differential equations, partial Computer science / Mathematics Partial Differential Equations Functional Analysis Operator Theory Computational Mathematics and Numerical Analysis Mathematical Modeling and Industrial Mathematics Informatik Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Takači, Arpad Sonstige oth Takači, Djurdjica Sonstige oth https://doi.org/10.1007/978-94-011-5574-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pap, Endre Partial Differential Equations through Examples and Exercises Mathematics Functional analysis Operator theory Differential equations, partial Computer science / Mathematics Partial Differential Equations Functional Analysis Operator Theory Computational Mathematics and Numerical Analysis Mathematical Modeling and Industrial Mathematics Informatik Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Partial Differential Equations through Examples and Exercises |
| title_auth | Partial Differential Equations through Examples and Exercises |
| title_exact_search | Partial Differential Equations through Examples and Exercises |
| title_full | Partial Differential Equations through Examples and Exercises by Endre Pap, Arpad Takači, Djurdjica Takači |
| title_fullStr | Partial Differential Equations through Examples and Exercises by Endre Pap, Arpad Takači, Djurdjica Takači |
| title_full_unstemmed | Partial Differential Equations through Examples and Exercises by Endre Pap, Arpad Takači, Djurdjica Takači |
| title_short | Partial Differential Equations through Examples and Exercises |
| title_sort | partial differential equations through examples and exercises |
| topic | Mathematics Functional analysis Operator theory Differential equations, partial Computer science / Mathematics Partial Differential Equations Functional Analysis Operator Theory Computational Mathematics and Numerical Analysis Mathematical Modeling and Industrial Mathematics Informatik Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Differential equations, partial Computer science / Mathematics Partial Differential Equations Functional Analysis Operator Theory Computational Mathematics and Numerical Analysis Mathematical Modeling and Industrial Mathematics Informatik Mathematik Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-94-011-5574-8 |
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