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Table of Integrals, Series, and Products
A trusted tool since 1965, The Table of Integrals, Series, and Products is the definitive reference for integrals for scientists, engineers, physicists, and mathematicians who rely on it when identifying and subsequently solving extremely complex problems.
Daniel Zwillinger (Edited by)
9780123849335, Elsevier Science
Hardback, published 28 October 2014
1200 pages
23.4 x 19 x 5.4 cm, 1.81 kg
"...if you use this book frequently it’s definitely worth getting the new edition…" --MAA.org, November 2014 "The integrals are very useful, but this book includes many other features that will be helpful to the reader, especially graduate students. The sections on Hermite and Legendre polynomials are especially helpful for students of Electricity and Magnetism, Quantum Mechanics, and Mathematical physics (they won't have to hunt in several books to find what they need)." --Barry Simon, California Institute of Technology "This book is to the CRC Mathematical Tables as the unabridged Oxford English Dictionary is to Webster's Collegiate. Besides being big, it's easy to find things in, because of the way the integrals are organized into classes...It really helped me through grad school." --Phil Hobbs, Amazon Review
The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its accuracy and valuable updates. Since the first edition, published in 1965, the mathematical content of this book has significantly increased due to the addition of new material, though the size of the book has remained almost unchanged. The new 8th edition contains entirely new results and amendments to the auxiliary conditions that accompany integrals and wherever possible most entries contain valuable references to their source.
1. Elementary Functions 2. Indefinite Integrals of Elementary Functions 3. Definite Integrals of Elementary Functions 4. Combinations Involving Trigonometric and Hyperbolic Functions and Power 5. Indefinite Integrals of Special Functions 6. Definite Integrals of Special Functions 7. Associated Legendre Functions 8. Special Functions 9. Hypergeometric Functions 10. Vector Field Theory 11. Algebraic Inequalities 12. Integral Inequalities 13. Matrices and Related Result 14. Determinants 15. Norms 16. Ordinary Differential Equations 17. Fourier, Laplace, and Mellin Transforms 18. The Z-transform
Subject Areas: Applied mathematics [PBW], Integral calculus & equations [PBKL], Real analysis, real variables [PBKB], Calculus & mathematical analysis [PBK]