ENGLISH

Special Integrals of Gradshteyn and Ryzhik: The Proofs

Book information

Publisher
CRC Press
Year
2014
ISBN
1482256517, 978-1-4822-5651-2, 978-1-4822-5652-9
Language
english
Format
PDF
Filesize
3 MB (3409483 bytes)
Series
Monographs & Research Notes in Mathematics
Volume
Vol. 1
Edition
1st
Pages
253\253
Time added
2014-11-04 21:00:00

Description

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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