Table of Integrals, Series, and Products

Front Cover
Alan Jeffrey, Daniel Zwillinger
Academic Press, Aug 24, 2000 - Mathematics - 1163 pages
The Table of Integrals, Series, and Products is the major reference source for integrals in the English language.It is designed for use by mathematicians, scientists, and professional engineers who need to solve complex mathematical problems.

*Completely reset edition of Gradshteyn and Ryzhik reference book
*New entries and sections kept in orginal numbering system with an expanded bibliography
*Enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.
 

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Contents

Chapter 0 Introduction
1
Chapter 1 Elementary Functions
25
Chapter 2 Indefinite Integrals of Elementary Functions
61
Chapter 34 Definite Integrals of Elementary Functions
243
Chapter 5 Indefinite Integrals of Special Functions
615
Chapter 67 Definite Integrals of Special Functions
625
Chapter 89 Special Functions
851
Chapter 10 Vector Field Theory
1039
Chapter 14 Determinants
1065
Chapter 15 Norms
1071
Chapter 16 Ordinary differential equations
1083
Chapter 17 Fourier Laplace and Mellin Transforms
1099
Chapter 18 The ztransform
1127
References
1133
Supplemental references
1137
Function and constant index
1143

Chapter 11 Algebraic Inequalities
1049
Chapter 12 Integral Inequalities
1053
Chapter 13 Matrices and related results
1059

Common terms and phrases

About the author (2000)

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 destroyer’s 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 President’s award for best Six Sigma project of the year: on converting planning packages to work packages for the Patriot missile, and for revising Raytheon’s 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 Company’s (CRC’s) “Standard Mathematical Tables and Formulae , and is on the editorial board for CRC’s “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 pilot’s license.

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