Asymptotics and Borel Summability: 141 (Monographs and Surveys in Pure and Applied Mathematics) - Hardcover

Costin, Ovidiu

Hardcover

ISBN 10: 1420070312 ISBN 13: 9781420070316

Verlag: Chapman and Hall/CRC, 2008

Inhaltsangabe

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 used in a systematic way, the book analyzes in detail general nonlinear ordinary differential equations (ODEs) near a generic irregular singular point. It enables readers to master basic techniques, supplying a firm foundation for further study at more advanced levels. The book also examines difference equations, partial differential equations (PDEs), and other types of problems.

Chronicling the progress made in recent decades, this book shows how Borel summability can recover exact solutions from formal expansions, analyze singular behavior, and vastly improve accuracy in asymptotic approximations.

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Über die Autorin bzw. den Autor

Ovidiu Costin

Details zur Ausgabe

• Verlag: Chapman and Hall/CRC
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 1420070312
• ISBN 13: 9781420070316
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 256
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar