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Handbook of Integration

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ISBN-10: 0867202939

ISBN-13: 9780867202939

Edition: 1992

Authors: Daniel Zwillinger

List price: $120.00
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Book details

List price: $120.00
Copyright year: 1992
Publisher: A K Peters, Limited
Publication date: 11/2/1992
Binding: Hardcover
Pages: 384
Size: 6.50" wide x 9.75" long x 1.00" tall
Weight: 1.430
Language: English

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…    

Preface
Introduction
How to Use This Book
Applications of Integration
Differential Equations: Integral Representations
Differential Equations: Integral Transforms
Extremal Problems
Function Representation
Geometric Applications
MIT Integration Bee
Probability
Summations: Combinatorial
Summations: Other
Zeros of Functions
Miscellaneous Applications
Concepts and Definitions
Definitions
Integral Definitions
Caveats
Changing Order of Integration
Convergence of Integrals
Exterior Calculus
Feynman Diagrams
Finite Part of Integrals
Fractional Integration
Liouville Theory
Mean Value Theorems
Path Integrals
Principal Value Integrals
Transforms: To a Finite Interval
Transforms: Multidimensional Integrals
Transforms: Miscellaneous
Exact Analytical Methods
Change of Variable
Computer Aided Solution
Contour Integration
Convolution Techniques
Differentiation and Integration
Dilogarithms
Elliptic Integrals
Frullanian Integrals
Functional Equations
Integration by Parts
Line and Surface Integrals
Look Up Technique
Special Integration Techniques
Stochastic Integration
Tables of Integrals
Approximate Analytical Methods
Asymptotic Expansions
Asymptotic Expansions: Multiple Integrals
Continued Fractions
Integral Inequalities
Integration by Parts
Interval Analysis
Laplace's Method
Stationary Phase
Steepest Descent
Approximations: Miscellaneous
Numerical Methods: Concepts
Introduction to Numerical Methods
Numerical Definitions
Error Analysis
Romberg Integration / Richardson Extrapolation
Software Libraries: Introduction
Software Libraries: Taxonomy
Software Libraries: Excerpts from GAMS
Testing Quadrature Rules
Truncating an Infinite Interval
Numerical Methods: Techniques
Adaptive Quadrature
Clenshaw-Curtis Rules
Compound Rules
Cubic Splines
Using Derivative Information
Gaussian Quadrature
Gaussian Quadrature: Generalized
Gaussian Quadrature: Kronrod's Extension
Lattice Rules
Monte Carlo Method
Number Theoretic Methods
Parallel Computer Methods
Polyhedral Symmetry Rules
Polynomial Interpolation
Product Rules
Recurrence Relations
Symbolic Methods
Tschebyscheff Rules
Wozniakowski's Method
Tables: Numerical Methods
Tables: Formulas for Integrals
Tables: Numerically Evaluated Integrals
Mathematical Nomenclature
Index