Borel-Laplace Transform and Asymptotic Theory: Introduction to Resurgent Analysis, 1st Edition (Hardback) book cover

Borel-Laplace Transform and Asymptotic Theory

Introduction to Resurgent Analysis, 1st Edition

By Boris Yu. Sternin, Victor E. Shatalov

CRC Press

288 pages

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Hardback: 9780849394355
pub: 1995-10-20
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Description

The resurgent function theory introduced by J. Ecalle is one of the most interesting theories in mathematical analysis. In essence, the theory provides a resummation method for divergent power series (e.g., asymptotic series), and allows this method to be applied to mathematical problems. This new book introduces the methods and ideas inherent in resurgent analysis. The discussions are clear and precise, and the authors assume no previous knowledge of the subject. With this new book, mathematicians and other scientists can acquaint themselves with an interesting and powerful branch of asymptotic theory - the resurgent functions theory - and will learn techniques for applying it to solve problems in mathematics and mathematical sciences.

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied