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 combinatorics. This is a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.

Author: George Boros, Victor Moll
Binding Type: Paperback
Publisher: Cambridge University Press
Published: 06/21/2004
Pages: 322
Weight: 0.95lbs
Size: 8.99h x 6.06w x 0.76d
ISBN: 9780521796361


Review Citation(s):
Choice 03/01/2005 pg. 1263