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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.
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- PublisherCRC Press
- Publication date1995
- ISBN 10 084939435X
- ISBN 13 9780849394355
- BindingHardcover
- Edition number1
- Number of pages288
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Borel-Laplace Transform and Asymptotic Theory: Introduction to Resurgent Analysis
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