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Irresistible Integrals 320 pages - hardback Cambridge University Press - (isbn 0-521-79186-3) Jun. 2004 |
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| Price: |
69,60 EUR
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| Author(s): |
Boros, George (Xavier University of Louisiana) / Moll, Victor
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| 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. 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.
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| Contents List: |
1.
Introduction; 2. Factorials and binomial coefficients; 3. the method of
partial fractions; 4. A simple rational function; 5. A review of power
series; 6. The exponential and logarithm functions; 7. The
trigonometric functions and pi; 8. A quartic integral; 9. The normal
integral; 10. Euler's constant; 11. Eulerian integrals: the Gamma and
Beta functions; 12. The Riemann zeta function; 13. Logarithmic
integrals; 14. A master formula; 15. Appendix: the revolutionary WZ
method.
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| Weight: | 565 g | |||||||
| Dimensions: | 236 x 160 | |||||||
| Publisher: | Cambridge University Press (Virtual Publishing) | |||||||
| Cambridge University Press (Virtual Publishing) | ||||||||