The Calculus Of Complex Functions


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Theory of Complex Functions


Theory of Complex Functions

Author: Reinhold Remmert

language: en

Publisher: Springer Science & Business Media

Release Date: 2012-12-06


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A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.

Elementary Theory of Analytic Functions of One or Several Complex Variables


Elementary Theory of Analytic Functions of One or Several Complex Variables

Author: Henri Cartan

language: en

Publisher: Courier Corporation

Release Date: 2013-04-22


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Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Calculus with Complex Numbers


Calculus with Complex Numbers

Author: John B. Reade

language: en

Publisher: CRC Press

Release Date: 2003-03-13


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This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series, and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in a straightforward way, laying the groundwork for further study. A working knowledge of real calculus and familiarity with complex numbers is assumed. This book is useful for graduate students in calculus and undergraduate students of applied mathematics, physical science, and engineering.