Includes bibliographical references (p. 227-232) and index.
Front Cover; Dedication; Contents; Introduction; List of formulas; Chapter 1: A family of logarithmic integrals; Chapter 2: Elementary logarithmic integrals; Chapter 3: Combinations of logarithms and exponentials; Chapter 4: The gamma function; Chapter 5: Some trigonometric integrals; Chapter 6: The beta function; Chapter 7: Elementary examples; Chapter 8: Combinations of powers, exponentials, and logarithms; Chapter 9: Combinations of logarithms, rational and trigonometric functions; Chapter 10: The digamma function; Chapter 11: The incomplete beta function. Chapter 12: Some logarithmic integralsChapter 13: Trigonometric forms of the beta function; Chapter 14: An elementary evaluation of entry 3.411.5; Chapter 15: Frullani integrals; Chapter 16: Index of entries; Bibliography.
"This provides a compilation of papers published in Revista Scientia, a journal published by the Department of Mathematics from the University of Tecnica Frederico Santa Maria in Chilie. It details interesting approaches and techniques that help readers study other areas in mathematics. In addition to the original papers by the author, the book includes commentary to further clarify and provide instruction on the proofs."-- Provided by publisher.
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 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.