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

Name: Irresistible Integrals Symbolics, Analysis and Experiments in the Evaluation of Integrals
Price: 46.06 USD
Availability: InStock
ISBN: 9780521796361

ISBN-10: 0521796369

ISBN-13: 9780521796361

Edition: 2004

Authors: George Boros, Victor Moll

List price: $53.99

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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…

Book details

List price: $53.99
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