Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B

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    A Comprehensive Course in Analysis by Poincare Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics including the Poincare metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painleve smoothness theorem, topics in analytic number theory including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions, the theory of Fuschian differential equations, asymptotic methods including Euler's method, stationary phase, the saddle-point method, and the WKB method, univalent functions including an introduction to SLE, and Nevanlinna theory. The chapters on Fuschian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.

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    Number of Pages: 321
    Format(s): Hardback - ISBN: 9781470411015
    Publication Date:
    Listed in: Complex analysis, complex variables
    Publisher: American Mathematical Society

    Books by Barry Simon

    Hardback

    RRP: £85.00

    Total: £83.21

    Save: £1.79 per copy!

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