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A Second Course in Complex Analysisby William Veech
Synopses & ReviewsPublisher Comments:A clear, selfcontained treatment of important areas in complex analysis, this text is geared toward upperlevel 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. Synopsis:Geared toward upperlevel undergraduates and graduate students, this clear, selfcontained treatment of important areas in complex analysis is chieflyand#160;classical in content and emphasizesand#160;geometry of complex mappings. 1967 edition. Synopsis:Geared toward upperlevel undergraduates and graduate students, this clear, selfcontained treatment of important areas in complex analysis is chiefly classical in content and emphasizes geometry of complex mappings. 1967 edition. Synopsis:A clear, selfcontained treatment of important areas in complex analysis, this text is geared toward upperlevel undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings. Table of ContentsPreface 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 What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
Other books you might likeRelated SubjectsScience and Mathematics » Geology » Geophysics Science and Mathematics » Mathematics » Analysis General Science and Mathematics » Mathematics » Calculus » General Science and Mathematics » Mathematics » Complex Analysis Science and Mathematics » Physics 

