Analytic Methods for Partial Differential Equations /
The subject of partial differential equations holds an exciting place in mathematics. At one extreme the interest lies in the existence and uniqueness of solutions, and the functional analysis of the proofs of these properties. At the other extreme lies the applied mathematical and engineering quest...
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| Format: | eBook |
| Language: | English |
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London :
Springer London : Imprint : Springer,
1999.
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| Series: | Springer undergraduate mathematics series.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | The subject of partial differential equations holds an exciting place in mathematics. At one extreme the interest lies in the existence and uniqueness of solutions, and the functional analysis of the proofs of these properties. At the other extreme lies the applied mathematical and engineering quest to find useful solutions, either analytically or numerically, to these important equations which can be used in design and construction. The objective of this book is to actually solve equations rather than discuss the theoretical properties of their solutions. The topics are approached practically, without losing track of the underlying mathematical foundations of the subject. The topics covered include the separation of variables, the characteristic method, D'Alembert's method, integral transforms and Green's functions. Numerous exercises are provided as an integral part of the learning process, with solutions provided in a substantial appendix. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (XII, 316 pages 25 illustrations) |
| ISBN: | 9781447103790 (electronic bk.) 1447103793 (electronic bk.) |