Handbook of Mathematical Formulas and Integrals
- 2nd Edition - July 18, 2000
- Author: Alan Jeffrey
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 3 8 2 2 5 1 - 2
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 7 4 1 0 - 3
This Second Edition follows the original pattern of presenting of presenting the most frequently used integrals, mathematical formulas, and results in a form convenient for the us… Read more
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This Second Edition follows the original pattern of presenting of presenting the most frequently used integrals, mathematical formulas, and results in a form convenient for the user. The Handbook provides an essential reference work for students and researchers in applied mathematics, engineering, and physics. The most important formulas, functions, and results used in applications of mathematics are covered.New material includes proof by mathematical induction, properties of spherical Bessel functions, more detailed results on orthogonal polynomials, interpolation and Pade approximation, and a section on the z-transform. The original thumb-tab indexing has been retained, as it provides an easy reference system that supplements the contents listing and extensive index.
@introbul:Key Features
@bul:* 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
@bul:* 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
Academics, researchers and students in Mathematics, Engineering and Science.
Preface. Preface to the Second Edition. 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. Index.
- Edition: 2
- Published: July 18, 2000
- Language: English
AJ
Alan Jeffrey
Affiliations and expertise
University at Newcastle Upon Tyne, UK