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portada Asymptotics and Borel Summability
Asymptotics and Borel SummabilityAsymptotics and Borel SummabilityAsymptotics and Borel Summability
Type
Physical Book
Author
Publisher
Language
English
Pages
256
Format
Hardcover
Dimensions
23.6x15.7x2.3 cm
Weight
0.59 kg.
ISBN
1420070312
ISBN13
9781420070316
Categories

Asymptotics and Borel Summability

Ovidiu Costin (Author) · CRC Press · Hardcover

Asymptotics and Borel Summability - Costin, Ovidiu

New Book Imported to Taiwan
Delivery: 13 Nov - 23 Nov Shipping: 13 to 14 business days.
NT$ 8,585
NT$ 8,585

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Synopsis "Asymptotics and Borel Summability"

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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