Borel-Laplace Transform and Asymptotic Theory
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A01=Boris Yu. Sternin
A01=Victor E. Shatalov
advanced resummation techniques
analytic continuation
Author_Boris Yu. Sternin
Author_Victor E. Shatalov
Category=PBK
complex analysis
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
mathematical problem solving
singularity theory
Stokes phenomenon
transseries methods
Product details
- ISBN 9780849394355
- Weight: 566g
- Dimensions: 156 x 234mm
- Publication Date: 20 Oct 1995
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
Boris Yu. Sternin, Professor of the Moscow State University, Doctor of Science in Physics and Mathematics, Moscow, Russia.
Victor E. Shatalov, Professor of the Moscow State University, Doctor of Science in Physics and Mathematics, Moscow, Russia.
