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Bestseller
BestsellerE-book
Author Boros, George, 1947-

Title Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / George Boros, Victor H. Moll.

Publication Info. Cambridge, UK ; New York : Cambridge University Press, 2004.

Item Status

Description 1 online resource (xiv, 306 pages)
data file
Physical Medium polychrome
Bibliography Includes bibliographical references (pages 276-297) and index.
Contents 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.
Summary 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 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed here 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. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Definite integrals.
Definite integrals.
Integrals.
Integrals.
Genre/Form Electronic books.
Electronic books.
Added Author Moll, Victor H., 1956-
Other Form: Print version: Boros, George, 1947- Irresistible integrals. Cambridge, UK ; New York : Cambridge University Press, 2004 (DLC) 2003069574
ISBN 051121149X
9780511211492
0521791863
9780521791861
0521796369 (paperback)
9780521796361 (paperback)
0511216866 (electronic book)
9780511216862 (electronic book)
051121507X (electronic book)
9780511215070 (electronic book)
0511617046 (electronic book)
9780511617041 (electronic book)
1280541032
9781280541032
Standard No. 9780521791861