Special Integrals of Gradshteyn and Ryzhik: the Proofs - Volume II

1st Edition

Victor H. Moll

Chapman and Hall/CRC
Published October 27, 2015
Reference - 263 Pages
ISBN 9781482256536 - CAT# K24070
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Summary

A Guide to the Evaluation of Integrals

Special Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica® to verify the formulas. You will discover the beauty, patterns, and unexpected connections behind the formulas.

Volume II collects 14 papers from Revista Scientia covering elliptic integrals, the Riemann zeta function, the error function, hypergeometric and hyperbolic functions, Bessel-K functions, logarithms and rational functions, polylogarithm functions, the exponential integral, and Whittaker functions. Many entries have a variety of proofs that can be evaluated using a symbolic language or point to the development of a new algorithm.