# Download Compact Riemann Surfaces fb2

### by Jürgen Jost

**ISBN:**354043299X**Category:**Math & Science**Author:**Jürgen Jost**Subcategory:**Mathematics**Other formats:**mbr docx lrf lrf**Language:**English**Publisher:**Springer; 2nd edition (June 1, 2002)**Pages:**278 pages**FB2 size:**1640 kb**EPUB size:**1920 kb**Rating:**4.1**Votes:**513

It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory.

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.

This book is novel in its broad perspective on Riemann surfaces: the text systematically explores the connection with other fields of mathematics. The book 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. The book is unique among textbooks on Riemann surfaces in its inclusion of an introduction to Teichmuller theory.

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed versions of the complex plane: locally near every point they look like patches of the complex plane, but the global topology can be quite different. For example, they can look like a sphere or a torus or several sheets glued together.

Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other . Compact Riemann Surfaces. An Introduction to Contemporary Mathematics. It can serve as an introd.

Compact Riemann surfaces: an introduction to contemporary mathematics. on a compact Riemann surface. W Ding, J Jost, J Li, G Wang. Asian Journal of Mathematics 1 (2), 230-248, 1997. Springer Science & Business Media, 2013. Delays, connection topology, and synchronization of coupled chaotic maps. FM Atay, J Jost, A Wende. Harmonic mappings and minimal submanifolds. S Hildebrandt, J Jost, KO Widman.

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Compact Riemann Surfaces Jost Springer 9783540330653 : Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connect. Кол-во: Наличие: Поставка под заказ. Есть в наличии на складе поставщика. Склад Англия: 82 шт. Склад Америка: 107 шт.

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Browse other questions tagged sobolev-spaces riemann-surfaces books harmonic-functions or ask your own question. 3. Books about the spectra of non-compact Riemann surfaces.

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