Textbook of Engineering Mathematics: Special Functions and Complex Variables - Tapa blanda

Sinopsis

The book then explains the notions of limit, continuity and differentiability by developing a thorough grounding on analytic functions and their relations with harmonic functions. It also introduces the exponential function of a complex variable and, with the help of this function, the trigonometric and hyperbolic functions are defined and their properties are analyzed. While discussing different mathematical concepts, the book analyzes a number of theorems such as Cauchy s integral theorem for the integration of a complex variable, Taylor s theorem for the analysis of complex power series, the residue theorem for evaluation of residues, and the argument principle and Rouche s theorem for the determination of the number of zeros of complex polynomials. Finally, it gives a thorough exposition of conformal mappings and develops the theory of bilinear transformation.

"Sinopsis" puede pertenecer a otra edición de este libro.