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

by Victor H. Moll

Book Details

Format Hardback or Cased Book

Book Series Chapman & Hall/CRC Monographs and Research Notes in Mathematics

ISBN-10 1482256517

ISBN-13 9781482256512

Publisher Taylor & Francis Inc

Imprint Chapman & Hall/CRC

Country of Manufacture CA

Country of Publication GB

Publication Date Nov 12th, 2014

Print length 260 Pages

Weight 516 grams

Dimensions 24.00 x 15.70 x 2.00 cms

Product Classification: Mathematics Mathematical physics

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This volume provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. It 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 gives the most elementary arguments possible and uses Mathematica^® to verify the formulas. Readers discover the beauty, patterns, and unexpected connections behind the formulas.

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.

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