Asymptotics and Borel summability.

9781420070316

Asymptotics and Borel summability.

Costin, Ovidiu.

CRC / Taylor & Francis

2008

250 pages

$89.95

Hardcover

Chapman and Hall/CRC monographs and surveys in pure and applied mathematics; v.141

QA372

Costin (mathematics, Ohio State U.) has written this textbook on asymptotic analysis and Borel summation for advanced students in mathematics and physics, and provides a unique perspective on these topics by analyzing ordinary differential equations near a generic irregular singular point. The author reviews the Laplace method, Watson's lemma and Banach spaces so that readers can continue on a more advanced level of independent study. Exercises and problems also explain how Borel summability can be used to solve problems concerning formal expansions as well as improving the accuracy of asymptotic estimates.

([c]2009 Book News, Inc., Portland, OR)