Handbook of Mathematical Formulas and Integrals


  • Alan Jeffrey, University at Newcastle Upon Tyne, UK

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


Book information

  • Published: November 2003
  • ISBN: 978-0-12-382256-7


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

Table of Contents

PrefaceIndex of Special Functions and NotationsQuick Reference List of Frequently Used DataNumerical, Algebraic, and Analytical Results for Series and CalculusFunctions and IdentitiesDerivatives of Elementary FunctionsIndefinite Integrals of Algebraic FunctionsIndefinite Integrals of Exponential FunctionsIndefinite Integrals of Logarithmic FunctionsIndefinite Integrals of Hyperbolic FunctionsIndefinite Integrals Involving Inverse Hyperbolic FunctionsIndefinite Integrals of Trigonometric FunctionsIndefinite Integrals of Inverse Trigonometric FunctionsThe Gamma, Beta, Pi, and Psi FunctionsElliptic Integrals and FunctionsProbability Integrals and the Error FunctionFresnel Integrals, Sine and Cosine IntegralsDefinite IntegralsDifferent Forms of Fourier SeriesBessel FunctionsOrthogonal PolynomialsLaplace TransformationFourier TransformsNumerical IntegrationSolutions of Standard Ordinary Differential EquationsVector AnalysisSystems of Orthogonal CoordinatesPartial Differential Equations and Special FunctionsThe z-TransformNumerical ApproximationShort Classified Reference ListSolutions of Elliptic, Parabolic and Hyperbolic EquationsQualitative Properties of the Heat and Laplace EquationIndex