Complex Analysis in One Variable

Name: Complex Analysis in One Variable
Brand: Birkhäuser
SKU: 9780817641641
Price: 498.04 RON
Availability: InStock

Autor: Raghavan Narasimhan, Yves Nievergelt

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Legare: Copertă tare

Editura: Birkhäuser

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498.04 lei

This book presents complex analysis in one variable in the context of modern mathematics, with clear...

Informații despre carte

Autor

Raghavan Narasimhan, Yves Nievergelt

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2009

Pagini

381

EAN

9780817641641

ISBN

0817641645

Enbook ID

02106218

Editura

Birkhäuser

Greutate

744

Dimensiuni

155 x 235 x 23

Descriere completă

This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the Loman-Menchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied.§Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions.§New to this second edition, a collection of over 100 pages worth of exercises, problems, and examples gives students an opportunity to consolidate their command of complex analysis and its relations to other branches of mathematics, including advanced calculus, topology, and real applications.

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