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Handbook of Mathematical Formulas and Integrals. Edition No. 4

  • ID: 1762587
  • February 2008
  • 592 Pages
  • Elsevier Science and Technology
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The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings.

All disc-based content for this title is now available on the Web.

- Comprehensive coverage in reference form of the branches of mathematics used in science and engineering
- Organized to make results involving integrals and functions easy to locate
- Results illustrated by worked examples

All disc-based content for this title is now available on the Web.

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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

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Jeffrey, Alan
Dai, Hui Hui

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