ASYMPTOTICS AND BOREL SUMMABILITY by Ovidiu Costin ( 9781420070323 )

Item Details

Title:

ASYMPTOTICS AND BOREL SUMMABILITY

By:

Format:

Electronic book text

List price:	£69.59
We believe that this item is permanently unavailable, and so we cannot source it.

ISBN 10:

1420070320

ISBN 13:

9781420070323

Publisher:

TAYLOR & FRANCIS LTD

Pub. date:

4 December, 2008

Series:

Monographs and Surveys in Pure and Applied Mathematics

Pages:

256

Synopsis:

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.

Illustrations:

11 Illustrations, black and white

Publication:

Imprint:

Chapman & Hall/CRC

Returns:

Non-returnable

Some other items by this author:

ASYMPTOTICS AND BOREL SUMMABILITY (HB)

ASYMPTOTICS IN DYNAMICS, GEOMETRY AND PDES; GENERALIZED BOREL SUMMATION (PB)