| Description |
1 online resource (xiii, 250 pages) : illustrations |
| Series |
Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 141 |
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Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 141.
|
| Contents |
Cover; Title; Copyright; Contents; Preface; Chapter 1: Introduction; Chapter 2: Review of some basic tools; Chapter 3: Classical asymptotics; Chapter 4: Analyzable functions and transseries; Chapter 5: Borel summability in differential equations; Chapter 6: Asymptotic and transasymptotic matching; formation of singularities; Chapter 7: Other classes of problems; Chapter 8: Other important tools and developments; References; Index |
| Summary |
Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, transseries, and exponential asymptotics. He provides complete mathematical rigor while supplementing it with heuristic material and examples, so that some proofs may be omitted by applications-oriented readers. To give a sense of how new methods are us |
| Bibliography |
Includes bibliographical references (pages 245-248) and index |
| Notes |
Print version record |
| Subject |
Differential equations -- Asymptotic theory.
|
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Summability theory.
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MATHEMATICS -- Differential Equations -- General.
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Differential equations -- Asymptotic theory
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Summability theory
|
| Form |
Electronic book
|
| ISBN |
9781420070323 |
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1420070320 |
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