Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special… Expand

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This chapter discusses integral inequalities. It presents the properties of integrals and integral inequalities and two mean value theorems and explains the differentiation of… Expand

This chapter discusses Fourier and Laplace transforms. The inversion of the Laplace transform is accomplished for analytic functions f (p) of order O (p -k ) with k > 1 by means of the inversion… Expand

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This chapter discusses the special functions. A single-valued function f(z) of a complex variable, which is not a constant, is said to be elliptic if it has two periods 2ω1 and… Expand

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This chapter discusses elementary functions. The trigonometric and hyperbolic sines and cosines are related by the following identities: ch x = cos ix and cos x = ch ix. Because of… Expand

This chapter discusses the indefinite integrals of elementary functions. To integrate an arbitrary rational function, the integral part must be separated out, if there is an integral part, and then… Expand