The Handbook of Integration. (1992)

• Record Type: Book
• Further Information: Note: Daniel Zwillinger.
• Authors: Zwillinger, Daniel, 1957-
• 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. 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. 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.
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 1992
• Extent: 1 online resource
• Subjects: 515/.43; Numerical integration; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Electronic books
• Languages: English
• ISBNs: 9781439865842; 1439865841
• Related ISBNs: 9780867202939; 0867202939
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed May 24, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.