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Complex Analysis (Universitext) by Eberhard Freitag, Rolf Busam, E. Freitag is a nonfiction available to read on EtoBox.

What is Complex Analysis (Universitext) about?

The guiding principle of this presentation of ``Classical Complex Analysis'' is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required. The first four chapters cover the essential core of complex analysis: - differentiation in C (including elementary facts about conformal mappings) - integration in C (including complex line integrals, Cauchy's Integral Theorem, and the Integral Formulas) - sequences and series of analytic functions, (isolated) singularities, Laurent series, calculus of residues - construction of analytic functions: the gamma function, Weierstrass' Factorization Theorem, Mittag-Leffler Partial Fraction Decomposition, and -as a particular highlight- the Riemann Mapping Theorem, which characterizes the simply connected domains in C. Further topics included are: - the theory of elliptic functions based on the model of K. Weierstrass (with an excursions to older approaches due to N.H. Abel and C.G.J. Jacobi using theta series) - an introduction to the theory of elliptic modular

Who reads Complex Analysis (Universitext)?

Author

Eberhard Freitag, Rolf Busam, E. Freitag

Publisher

Springer-Verlag Berlin Heidelberg

Published

2005

Language

EN

ISBN

9783540308232

Category

nonfiction

Subjects

Mathematics, Stem