This dense reference lists known integrals of elementary functions and many special functions that arise in all aspects of mathematics and its applications. The tables are organized in a logical manner with standard forms of integrands arranged in increasing order of complexity, ranging from algebraic forms to special functions and combinations. Subsequent chapters deal with the most important special functions and their properties. The eighth edition removes the chapters on matrices and norms, and reflects new results and corrections to the existing integrals. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
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.
- Over 10, 000 mathematical entries
- Most up to date listing of integrals, series and products (special functions)
- Provides accuracy and efficiency in industry work
- 25% of new material not including changes to the restrictions on results that revise the range of validity of results, which lend to approximately35% of new updates
Arvustused
"...if you use this book frequently its 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
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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.
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
Dr. Daniel Zwillinger is a Senior Principal Systems Engineer for the Raytheon Company. He was a systems requirements book boss” for the Cobra Judy Replacement (CJR) ship and was a requirements and test lead for tracking on the Ungraded Early Warning Radars (UEWR). He has improved the Zumwalt destroyers software accreditation process and he was test lead on an Active Electronically Scanned Array (AESA) radar. Dan is a subject matter expert (SME) in Design for Six Sigma (DFSS) and is a DFSS SME in Test Optimization, Critical Chain Program Management, and Voice of the Customer. He is currently leading a project creating Trust in Autonomous Systems. At Raytheon, he twice won the Presidents award for best Six Sigma project of the year: on converting planning packages to work packages for the Patriot missile, and for revising Raytheons timecard system. He has managed the Six Sigma white belt training program. Prior to Raytheon, Dan worked at Sandia Labs, JPL, Exxon, MITRE, IDA, BBN, and The Mathworks (where he developed an early version of their Statistics Toolbox).
For ten years, Zwillinger was owner and president of Aztec Corporation. As a small business, Aztec won several Small Business Innovation Research (SBIR) contracts. The company also created several software packages for publishing companies. Prior to Aztec, Zwillinger was a college professor at Rensselaer Polytechnic Institute in the department of mathematics.
Dan has written several books on mathematics on the topics of differential equations, integration, statistics, and general mathematics. He is editor-in-chief of the Chemical Rubber Companys (CRCs) Standard Mathematical Tables and Formulae”, and is on the editorial board for CRCs Handbook of Chemistry and Physics”. Zwillinger holds a bachelor's degree in mathematics from the Massachusetts Institute of Technology (MIT). He earned his doctorate in applied mathematics from the California Institute of Technology (Caltech). Zwillinger is a certified Raytheon Six Sigma Expert and an ASQ certified Six Sigma Black Belt. He also holds a pilots license.
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