A Second Course in Complex Analysis - Brossura

Veech, William A.

Brossura

ISBN 10: 0486462943 ISBN 13: 9780486462943

Casa editrice: Dover Pubns, 2008

Riassunto

A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings.
Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces. His focus on the geometry of complex mappings makes frequent use of Schwarz's lemma. He constructs the universal covering surface of an arbitrary planar region and employs the modular function to develop the theorems of Landau, Schottky, Montel, and Picard as consequences of the existence of certain coverings. Concluding chapters explore Hadamard product theorem and prime number theorem.

Su questo libro

Contenuti:

Preface 1. Analytic continuation 2. Geometric considerations 3. The mapping theorems of Riemann and Koebe 4. The modular function 5. The Hadamard product theorem 6. The prime number theorem Bibliography Index

Product Description:

Book by Veech William A Mathematics

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• ISBN 10: 0486462943
• ISBN 13: 9780486462943
• Rilegatura: Copertina flessibile
• Numero di pagine: 246