Principles of Complex Analysis

AvSerge Lvovski

Inbunden, Engelska, 2020

Del 6 i serien Moscow Lectures

634 kr

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Häftad

419 kr

Beskrivning

This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and proved in the first nontrivial case, i.e.

Produktinformation

Utgivningsdatum:2020-09-27
Mått:155 x 235 x 21 mm
Vikt:576 g
Format:Inbunden
Språk:Engelska
Serie:Moscow Lectures
Antal sidor:257
Förlag:Springer Nature Switzerland AG
ISBN:9783030593643
Originaltitel:Принципы комплексного анализа

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Mer om författaren

Serge Lvovski is associate professor at the Faculty of Mathematics of Higher School of Economics, Moscow, and research fellow in the Laboratory of Algebraic Geometry and its Applications.

Recensioner i media

“The book is well written, and the precision of the arguments given is carried out on a high level. This is undoubtedly a valuable book for students and can be recommended.” (Adam Lecko, Mathematical Reviews, April, 2022)

Innehållsförteckning

Introduction.- Preliminaries.- Derivatives of functions of complex variable.- Practicing conformal mappings.- Integrals of functions of complex variable.- Cauchy theorem and its consequences.- Homotopy and analytic continuation.- Laurent series and singular points.- Residues.- Local properties of holomorphic functions.- Conformal mappings I.- Infinite sums and products.- Conformal mappings II.- Introduction to Riemann surfaces.