## Handbook of Mathematical Formulas and IntegralsIf there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse. Special thumb-tab index throughout the book for ease of use Answers are keyed to the type of problem they solve Formulas are provided for problems across the entire spectrum of Mathematics All equations are sent from a computer-checked source code Companion to Gradshteyn: Table of Integrals, Series, and Products, Fifth Edition The following features make the Handbook a Better Value than its Competition: Less expensive More comprehensive Equations are computer-validated with Scientific WorkPlace(tm) and Mathematica(r) Superior quality from one of the most respected names in scientific and technical publishing Offers unique thumb-tab indexing throughout the book which makes finding answers quick and easy |

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### Contents

Quick Reference List of Frequently Used Data | 1 |

Numerical Algebraic and Analytical Results for Series | 25 |

Functions and Identities | 97 |

Copyright | |

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### Common terms and phrases

arbitrary constant arccos arccosh arcsinh arctan asymptotic ax dx Bernoulli numbers Bessel function boundary condition bx dx centroid complex numbers converges coordinates cos2 cos3 cosh cosh(ax cosh2 cosx coth curve defined definite denoted derivative determinant differential equation divergence dx dx elements elliptic integral Euler numbers f dx finite follows Fourier series Frobenius method function f(x homogeneous hyperbolic functions improper integral Indefinite Integrals initial condition initial value problem Integrands involving interval inverse Jacobian elliptic function Laplace transform Let f(x linear linearly independent linearly independent solutions method n x n matrix notation odd function orthogonal Parseval relation partial fraction plane Pn(x polynomials power series rational function Re{a Re{s real numbers reduction formula result roots scalar second kind second-order sin2 sin3 sine sinh sinh(ax sinh2 sinx tanh theorem variable vector yp(x zero