Handbook of Mathematical Formulas and Integrals

Handbook of Mathematical Formulas and Integrals

3rd Edition - November 7, 2003

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  • Author: Alan Jeffrey
  • eBook ISBN: 9780080523019

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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

Product details

  • No. of pages: 451
  • Language: English
  • Copyright: © Academic Press 2003
  • Published: November 7, 2003
  • Imprint: Academic Press
  • eBook ISBN: 9780080523019

About the Author

Alan Jeffrey

Affiliations and Expertise

University at Newcastle Upon Tyne, UK

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