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E-book
Author Zwillinger, Daniel, 1957- author.

Title The Handbook of Integration / Daniel Zwillinger
Published Boca Raton, FL : CRC Press, 1992
Online access available from:
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Description 1 online resource
Contents Cover; Half Title; Jones and Bartlett Books in Mathematics; Title; Copyright; Table of Contents; Preface; Introduction; How to Use This Book; I Applications of Integration; Chapter 1 Differential Equations: Integral Representations; Chapter 2 Differential Equations: Integral Transforms; Chapter 3 Extremal Problems; Chapter 4 Function Representation; Chapter 5 Geometric Applications; Chapter 6 MIT Integration Bee; Chapter 7 Probability; Chapter 8 Summations: Combinatorial; Chapter 9 Summations: Other; Chapter 10 Zeros of Functions; Chapter 11 Miscellaneous Applications
Chapter 43 Asymptotic ExpansionsChapter 44 Asymptotic Expansions: Multiple Integrals; Chapter 45 Continued Fractions; Chapter 46 Integral Inequalities; Chapter 47 Integration by Parts; Chapter 48 Interval Analysis; Chapter 49 Laplace's Method; Chapter 50 Stationary Phase; Chapter 51 Steepest Descent; Chapter 52 Approximations: Miscellaneous; V Numerical Methods: Concepts; Chapter 53 Introduction to Numerical Methods; Chapter 54 Numerical Definitions; Chapter 55 Error Analysis; Chapter 56 Romberg Integration / llichardson Extrapolation; Chapter 57 Software Libraries: Introduction
Chapter 58 Software Libraries: TaxonomyChapter 59 Software Libraries: Excerpts from G AMS; Chapter 60 Testing Quadrature Rules; Chapter 61 Truncating an Infinite Interval; VI Numerical Methods:Techniques; Chapter 62 Adaptive Quadrature; Chapter 63 Clenshaw-Curtis Rules; Chapter 64 Compound Rules; Chapter 65 Cubic Splipes; Chapter 66 Using Derivative Information; Chapter 67 Gaussian Quadrature; Chapter 68 Gaussian Quadrature: Generalized; Chapter 69 Gaussian Quadrature: Kronrod's Extension; Chapter 70 Lattice Rules; Chapter 71 Monte Carlo Method; Chapter 72 Number Theoretic Methods
II Concepts and DefinitionsChapter 12 Definitions; Chapter 13 Integral Definitions; Chapter 14 Caveats; Chapter 15 Changing Order of Integration; Chapter 16 Convergence of Integrals; Chapter 17 Exterior Calculus; Chapter 18 Feynman Diagrams; Chapter 19 Finite Part of Integrals; Chapter 20 Fractional Integration; Chapter 21 Liouville Theory; Chapter 22 Mean Value Theorems; Chapter 23 Path Integrals; Chapter 24 Principal Value Integrals; Chapter 25 Transforms: To a Finite Interval; Chapter 26 Transforms: Multidimensional Integrals; Chapter 27 Transforms: Miscellaneous
III Exact Analytical MethodsChapter 28 Change of Variable; Chapter 29 Computer Aided Solution; Chapter 30 Contour Integration; Chapter 31 Convolution Techniques; Chapter 32 Differentiation and Integration; Chapter 33 Dilogarithms; Chapter 34 Elliptic Integrals; Chapter 35 Frullanian Integrals .; Chapter 36 FUnctional Equations; Chapter 37 Integration by Parts; Chapter 38 Line and Surface Integrals; Chapter 39 Look Up Technique; Chapte 40 Special Integration Techniques; Chapter 41 Stochastic Integration; Chapter 42 Tables of Integrals; IV Approximate Analytical Methods
Summary This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Approximate Analytical Methods - Numerical Methods: Concepts - Numerical Methods: Techniques
Analysis Numerical integration
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (EBSCO, viewed May 24, 2018)
Subject Numerical integration
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Numerical integration.
Form Electronic book
ISBN 1439865841
9781439865842