Description The problem of evaluating Integrals is well known to every student who has had a year of calculus.
This is a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering..
They illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics.
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.
The questions discussed are as old as calculus itself.
The authors use the problem of exact Evaluation of definite Integrals as a starting point for exploring many areas of mathematics.
It was an especially important subject in nineteenth century Analysis and it has now been revived with the appearance of symbolic languages.
Description The problem of evaluating Integrals is well known to every student who has had a year of calculus