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Handbook of Mathematical Formulas

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Handbook of Mathematical Formulas
and Integrals
FOURTH EDITION
Alan Jeffrey,
Hui-Hui Dai

Table of Contents

1 Numerical, Algebraic, and Analytical Results for Series and Calculus

2 Functions and Identities

3 Derivatives of Elementary Functions

4 Indefinite Integrals of Algebraic Functions

5 Indefinite Integrals of Exponential Functions

6 Indefinite Integrals of Logarithmic Functions

7 Indefinite Integrals of Hyperbolic Functions

8 Indefinite Integrals Involving Inverse Hyperbolic Functions

9 Indefinite Integrals of Trigonometric Functions

10 Indefinite Integrals of Inverse Trigonometric Functions

11 The Gamma, Beta, Pi, and Psi Functions, and the Incomplete Gamma Functions

12 Elliptic Integrals and Functions

13 Probability Distributions and Integrals, and the Error Function

14 Fresnel Integrals, Sine and Cosine Integrals

15 Definite Integrals

16 Different Forms of Fourier Series

17 Bessel Functions

18 Orthogonal Polynomials

19 Laplace Transformation

20 Fourier Transforms

21 Numerical Integration

22 Solutions of Standard Ordinary Differential Equations

23 Vector Analysis

24 Systems of Orthogonal Coordinates

25 Partial Differential Equations and Special Functions

26 Qualitative Properties of the Heat and Laplace Equation

27 Solutions of Elliptic, Parabolic, and Hyperbolic Equations

28 The z -Transform

29 Numerical Approximation

30 Conformal Mapping and Boundary Value Problems

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