id: 02361624
dt: b
an: 2005d.01769
au: Boros, George; Moll, Victor H.
ti: Irresistible integrals. Symbolics, analysis and experiments in the
evaluation of integrals.
so: Cambridge University Press, Cambridge (ISBN 0-521-79636-9). 320 p. (2004).
py: 2004
pu: Cambridge University Press, Cambridge
la: EN
cc: I50
ut:
ci:
li:
ab: 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. 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, and algebra. This is a guided tour of
discovery for undergraduates and their teachers in mathematics,
computer science, physics, and engineering.
rv: