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

Boros, George; Moll, Victor

ISBN 10: 0521796369 / ISBN 13: 9780521796361

Published by Cambridge University Press, 2004

About this Item

Seller Inventory # BSM.1A5LP

Bibliographic Details

• Title: Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals
• Publisher: Cambridge University Press
• Publication Date: 2004
• Language: English
• ISBN 10: 0521796369
• ISBN 13: 9780521796361
• Binding: Soft cover
• Condition: very_good

About this title

Synopsis

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.

Book 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 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, including analysis, number theory, algebra and combinatorics. The questions discussed here are as old as calculus itself. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.