Handbook of Mathematical Formulas and Integrals - 3rd Edition - ISBN: 9780123822567, 9780080523019

Handbook of Mathematical Formulas and Integrals

3rd Edition

Authors: Alan Jeffrey
eBook ISBN: 9780080523019
Paperback ISBN: 9780123822567
Imprint: Academic Press
Published Date: 7th November 2003
Page Count: 451
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The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Many of the entries are based upon the updated sixth edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works.

The Third Edition has new chapters covering solutions of elliptic, parabolic and hyperbolic equations and qualitative properties of the heat and Laplace equation.

Key Features

  • Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results
  • Contents selected and organized to suit the needs of students, scientists, and engineers
  • Contains tables of Laplace and Fourier transform pairs
  • New section on numerical approximation
  • New section on the z-transform
  • Easy reference system


All students needing a general mathematics reference work, and engineers working in industry

Table of Contents

Preface Index of Special Functions and Notations Quick Reference List of Frequently Used Data Numerical, Algebraic, and Analytical Results for Series and Calculus Functions and Identities Derivatives of Elementary Functions Indefinite Integrals of Algebraic Functions Indefinite Integrals of Exponential Functions Indefinite Integrals of Logarithmic Functions Indefinite Integrals of Hyperbolic Functions Indefinite Integrals Involving Inverse Hyperbolic Functions Indefinite Integrals of Trigonometric Functions Indefinite Integrals of Inverse Trigonometric Functions The Gamma, Beta, Pi, and Psi Functions Elliptic Integrals and Functions Probability Integrals and the Error Function Fresnel Integrals, Sine and Cosine Integrals Definite Integrals Different Forms of Fourier Series Bessel Functions Orthogonal Polynomials Laplace Transformation Fourier Transforms Numerical Integration Solutions of Standard Ordinary Differential Equations Vector Analysis Systems of Orthogonal Coordinates Partial Differential Equations and Special Functions The z-Transform Numerical Approximation Short Classified Reference List Solutions of Elliptic, Parabolic and Hyperbolic Equations Qualitative Properties of the Heat and Laplace Equation Index


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© Academic Press 2004
Academic Press
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About the Author

Alan Jeffrey

Affiliations and Expertise

University at Newcastle Upon Tyne, UK


"The title…says it all: a compendium, of tables and formulas from various numerically and computationally orientated areas of mathematics, as well as extremely telegraphic summaries of some of the ideas involved. Recommended [for] upper-division undergraduates through professionals." --CHOICE, 2005