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

1st Edition

Victor H. Moll

Chapman and Hall/CRC
Published November 12, 2014
Reference - 260 Pages
ISBN 9781482256512 - CAT# K24069
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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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. Readers discover the beauty, patterns, and unexpected connections behind the formulas.

Volume I collects 15 papers from Revista Scientia covering logarithmic integrals, the gamma function, trigonometric integrals, the beta function, the digamma function, the incomplete beta function, Frullani integrals, and various combinations. The book presents entries without indicating the range of parameters for their validity, encouraging readers to determine this range themselves. Many entries have a variety of proofs that can be evaluated using a symbolic language or point to the development of a new algorithm.