Lectures on Riemann Surfaces (Hardcover)
Language: English
Published by Springer-Verlag New York Inc., New York, NY, 1981
- First Edition
- Hardcover
- New
Seller: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller
AbeBooks seller since June 22, 2007
Condition: New
£ 101.61
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Add to basketItem description from seller
Hardcover. This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. The material corresponds roughly to three semesters of lectures, arranged in a flexible sequence involving a minimum of prerequisites. In the first chapter, the author considers Riemann surfaces as covering spaces, develops the pertinent basics of topology, and focuses on algebraic functions. The next chapter is devoted to the theory of compact Riemann surfaces and cohomology groups, with the main classical results (including the Riemann-Roch theorem, Abel's theorem, and Jacobi's inversion problem). The final section covers the Riemann mapping theorem for simply connected Riemann surfaces, and the main theorems of Behnke-Stein for non-compact Riemann surfaces (the Runge approximation theorem and the theorems of Mittag-Leffler and Weierstrass). The value of this translation is enhanced by newly prepared exercises. This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. In the first chapter we consider Riemann surfaces as covering spaces and develop a few basics from topology which are needed for this. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…
Seller Inventory # 9780387906171
- Title
- Lectures on Riemann Surfaces (Hardcover)
- Author
- Otto Forster
- Publisher
- Springer-Verlag New York Inc., New York, NY
- Publication year
- 1981
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387906177
- ISBN 13
- 9780387906171
- Edition
- 1st Edition
- Series
- Book 98 of 180: Graduate Texts in Mathematics
"Synopsis" may belong to another edition of this title.
Review
O. Forster and B. Gilligan
Lectures on Riemann Surfaces
"A very attractive addition to the list in the form of a well-conceived and handsomely produced textbook based on several years' lecturing experience . . . This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces. The reviewer is inclined to think that it may well become a favorite." --Mathematical Reviews
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AussieBookSeller
Truganina, VIC, Australia
AbeBooks seller since June 22, 2007
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