Compact Riemann Surfaces : An Introduction to Contemporary Mathematics
- المؤلف
- Jürgen Jost
- سنة النشر
- 2006
- الناشر
- Springer
- لغة الملف
- انكليزي
- نوع الملف
- Book
- تصنيف الكتاب
- Mathematics and Statistics
- تحميل الكتاب قراءة الكتاب
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.
الكلمات المفتاحية: Mathematics and Statistics / Riemann surfaces / Riemann-Roch theorem / Teichmüller theory / Differential geometry / Harmonic maps / Hyberbolic geometry / Hyperbolic geometry
