Complex Analysis in One Variable - Tapa dura

Narasimhan, Raghavan; Nievergelt, Yves

 
9780817641641: Complex Analysis in One Variable
Tapa dura
ISBN 10: 0817641645 ISBN 13: 9780817641641
Editorial: Birkhäuser, 2000

Sinopsis

The original edition of this book has been out of print for some years. The appear­ ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes.

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De la contraportada

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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Editorial
Birkhäuser
Año de publicación
2000
Idioma
Inglés
ISBN 10 
0817641645
ISBN 13 
9780817641641
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
404
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780817632373: Complex Analysis in One Variable

Edición Destacada

ISBN 10:  0817632379 ISBN 13:  9780817632373
Editorial: Birkhauser, 1984
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