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Irresistible Integrals Symbolics, Analysis and Experiments in the Evaluation of Integrals

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ISBN-10: 0521796369

ISBN-13: 9780521796361

Edition: 2004

Authors: George Boros, Victor Moll

List price: $50.99
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Description:

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in nineteenth century analysis and it has now been revived with the appearance of symbolic languages. The authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting-rather than the shortest-path to the results. They illuminate connections with many subjects, including analysis, number theory, algebra and…    
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Book details

List price: $50.99
Copyright year: 2004
Publisher: Cambridge University Press
Publication date: 6/21/2004
Binding: Paperback
Pages: 322
Size: 6.06" wide x 8.98" long x 0.75" tall
Weight: 0.946
Language: English

Introduction
Factorials and binomial coefficients
the method of partial fractions
A simple rational function
A review of power series
The exponential and logarithm functions
The trigonometric functions and pi
A quartic integral
The normal integral
Euler's constant
Eulerian integrals: the Gamma and Beta functions
The Riemann zeta function
Logarithmic integrals
A master formula
Appendix: the revolutionary WZ method