登入選單
返回Google圖書搜尋
Compact Riemann Surfaces
Jürgen Jost
其他書名
An Introduction to Contemporary Mathematics
出版Springer Science & Business Media, 2006-12-13
主題Mathematics / Geometry / DifferentialMathematics / Geometry / General
ISBN35403306749783540330677
URLhttp://books.google.com.hk/books?id=50c1D4x9VbgC&hl=&source=gbs_api
EBookSAMPLE
註釋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 Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.