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Asymptotics and Borel Summability
Langbeschreibung
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. It explains basic ideas, concepts, and methods of generalized Borel summability, transseries, and exponential asymptotics. The author covers ODEs, PDEs, difference equations, and other types of problems. He provides complete mathematical rigor while supplementing it with heuristic material and examples, so that some proofs may be omitted by applications-oriented readers. He also includes both standard and challenging exercises.
Inhaltsverzeichnis
Introduction. Review of Some Basic Tools. Classical Asymptotics. Analyzable Functions and Transseries. Borel Summability in Differential Equations. Asymptotic and Transasymptotic Matching; Formation of Singularities. Other Classes of Problems. Other Important Tools and Developments. References. Index.
ISBN-13:
9781420070323
Veröffentl:
2008
Seiten:
256
Autor:
Ovidiu Costin
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
66,99 €*
Lieferzeit: Sofort lieferbar
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