Externally indexed torrent

If you are the original uploader, contact staff to have it moved to your account

Textbook in PDF format

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.
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