Special Integrals of Gradshteyn and Ryzhik: the Proofs - Volume I, 1st Edition (e-Book) book cover

Special Integrals of Gradshteyn and Ryzhik

the Proofs - Volume I, 1st Edition

By Victor H. Moll

Chapman and Hall/CRC

260 pages

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pub: 2014-11-12
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Description

A Guide to the Evaluation of IntegralsSpecial 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 beau

Table of Contents

A Family of Logarithmic Integrals. Elementary Logarithmic Integrals. Combinations of Logarithms and Exponentials. The Gamma Function. Some Trigonometric Integrals. The Beta Function. Elementary Examples. Combinations of Powers, Exponentials and Logarithms. Combinations of Logarithms, Rational and Trigonometric Functions. The Digamma Function. The Incomplete Beta Function. Some Logarithmic Integrals. Trigonometric Forms of the Beta Function. An Elementary Evaluation of Entry 3.411.5. Frullani Integrals. Complete Elliptic Integrals. The Riemann Zeta Function. Some Automatic Proofs. The Error Function. Hypergeometric Functions.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT004000
MATHEMATICS / Arithmetic