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Synopsis
Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmuller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this 2nd edition the author has further improved aspects of presentation of various parts of the text.
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Review
From the reviews:
"Compact Riemann Surfaces: An Introduction to Contemporary Mathematics starts off with a wonderful Preface containing a good deal of history, as well as Jost’s explicit dictum that there are three foci around which the whole subject revolves ... . Jost’s presentation is quite accessible, modulo a lot of diligence on the part of the reader. It’s a very good and useful book, very well-written and thorough." (Michael Berg, MathDL, April, 2007)
From the reviews of the third edition:
“Geometrical facts about Riemann surfaces are as ‘nice’ as possible, and they often provide the intuition and motivation for generalizations to other curves, manifolds or varieties. The Riemann–Roch theorem ... is a prime example of this influence. This book is amazing, very well written, accessible and works as a first course on Riemannian Surfaces I recommend to the all readers interested in Geometry and Riemannian Geometry.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, July, 2013)
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Compact Riemann Surfaces - an Introduction to Contemporary Mathematics - Universitext
Published by
Springer-Verlag Berlin and Heidelberg Gmbh & Co. K, Germany, 2002
ISBN 10: 354043299X
ISBN 13: 9783540432999
Used
Softcover
Seller: Literary Cat Books, Machynlleth, Powys, WALES, United Kingdom
Seller rating 4 out of 5 stars
Softcover. Condition: Very Good+. Dust Jacket Condition: No Dust Jacket. Second Edition; (?). Minor tear In front free end paper, plus minor scuff to bottom of spine. ; A modern, accessible introduction to compact Riemann surfaces that bridges complex analysis, algebraic geometry, and topology. Ideal for advanced undergraduates and graduate students in mathematics, the book is noted for its clarity, structured progression, and balance between rigorous theory and intuitive insightmaking it a valuable addition to any higher-mathematics collection. ; 16.1x24.1x2.4cm; xvi,274,(3) pages. Seller Inventory # 63849
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Compact Riemann Surfaces. an Introduction to Contemporary Mathematics (Universitext)
Published by
Springer, Berlin, 2002
ISBN 10: 354043299X
ISBN 13: 9783540432999
Used
Original decorated wrappers
First Edition
Seller: Literary Cat Books, Machynlleth, Powys, WALES, United Kingdom
Seller rating 4 out of 5 stars
Original decorated wrappers. Condition: Near Fine. First Edition. Top right hand corner front cover & first few pages lightly creased, otherwise slight shelfwear only. Spine uncreased. ; Octavo; xvi, 278 pages. Seller Inventory # LCH46891
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Compact Riemann Surfaces : An Introduction To Contemporary Mathematics (Universitext)
Seller: Homeless Books, Berlin, Germany
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Softcover. Condition: Befriedigend. With some scuffing, spine creases and a bit of wear, but overall in fairly good condition. No marks or notes from previous owner. Language - English. Seller Inventory # ABE-1755126401962
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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
Published by
Berlin/Heidelberg : Springer-Verlag, 2002
ISBN 10: 354043299X
ISBN 13: 9783540432999
Used
Softcover
Seller: Klondyke, Almere, Netherlands
Seller rating 5 out of 5 stars
Condition: Good. Paperback, illustrated with numerous equations and diagrams, 8vo. Universitext.; Name in pen on title page. Seller Inventory # 342524-ZA27
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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics. Second Edition.
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Paperback. Condition: As New. Series: Universitext. xvi 278p bright yellow paperback, large format, fresh copy, no names or stamps, excellent Altersfreigabe FSK ab 0 Jahre Language: English. Seller Inventory # 232769
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Compact Riemann Surfaces. : An Introduction to Contemporary Mathematics.
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 292 | Sprache: Englisch | Produktart: Sonstiges. Seller Inventory # 1015571/202
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