Handbook of mathematical formulas and integrals /

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Bibliographic Details
Author / Creator:Jeffrey, Alan.
Edition:4th ed.
Imprint:Amsterdam ; Boston : Elsevier Academic Press, c2008.
Description:xlv, 541 p. : ill. ; 24 cm. + 1 CD-ROM (4 3/4 in.)
Language:English
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/6810390
Hidden Bibliographic Details
Other authors / contributors:Dai, Hui-Hui.
ISBN:0123742889
9780123742889
9780123742957
0123742951
Notes:Includes bibliographical references (p. 525-528) and index.
Summary:This is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulae, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus.
Table of Contents:
  • Revised Contents List Fourth Edition
  • Quick Reference List of Frequently Used Data
  • Useful Identities
  • Trigonometric Identities
  • Hyperbolic Identities
  • Complex Relationships
  • Derivatives of Elementary functions
  • Rules of Differentiation and Integration
  • Standard Integrals
  • Standard Series
  • Geometry
  • 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; (Chapter 11 has been enlarged) The Gamma, Beta,Pi, and Psi Functions and Incomplete Gamma 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 (Sections 18.2.8, 18.2.9, 18.4.6 and 18.5.7? 18.5.10 are New)
  • Orthogonal Polynomials,(Sections 18.2.8 and 18.2.9 added on Legendre polynomials)
  • Laplace Transformation
  • Fourier Transform
  • Numerical Integration
  • Solutions of Standard Ordinary Differential Equations
  • Vector Analysis
  • Systems of Orthogonal Coordinates
  • Partial Differential Equations and Special Functions
  • Qualitative Properties of the Heat and Laplace Equations
  • Solutions of Elliptic, Parabolic, and Hyperbolic Equations
  • The z-Transform
  • Numerical Approximation; (Chapter 30 is a new and fairly large chapter
  • Conformal Mapping and Boundary Value Problems