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Invitation to Classical Analysis

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ISBN-10: 0821869329

ISBN-13: 9780821869321

Edition: 2012

Authors: Peter L. Duren

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Description:

This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration. Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differential equations including power series solutions at regular singular points, Bessel functions,…    
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Book details

Copyright year: 2012
Publisher: American Mathematical Society
Publication date: 6/6/2012
Binding: Hardcover
Pages: 392
Size: 7.50" wide x 10.50" long x 1.00" tall
Weight: 1.782
Language: English