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Introduction to Functions of Complex variable gives advanced students an introduction to the theory of functions of a complex variable, a fundamental area of mathematics. Topics include complex numbers and their properties, analytic functions and the Cauchy-Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem and its consequences, power series representation of analytic functions, the residue theorem and applications to definite integrals. Definitions and proofs will be stressed throughout the book.…mehr

Produktbeschreibung
Introduction to Functions of Complex variable gives advanced students an introduction to the theory of functions of a complex variable, a fundamental area of mathematics. Topics include complex numbers and their properties, analytic functions and the Cauchy-Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem and its consequences, power series representation of analytic functions, the residue theorem and applications to definite integrals. Definitions and proofs will be stressed throughout the book. Online course materials supplement the required textbook. The course will also cover applications to physics and engineering.
Autorenporträt
First author is working as Assistant Professor (Mathematics), Veer Bahadur Singh Purvanchal University, Jaunpur.His Phd has been awarded (28th August,2007) under supervision of Prof P N Pandey,Department of Mathematics, University Of Allahabad.