Compact Riemann Surfaces: An Introduction to Contemporary Mathematics (Universitext) - Softcover

Book 22 of 261: Universitext

Jost, Jürgen

  • 4.00 out of 5 stars
    5 ratings by Goodreads
 
9783540330653: Compact Riemann Surfaces: An Introduction to Contemporary Mathematics (Universitext)

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 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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783540533344: Compact Riemann Surfaces : An Introduction to Contemporary Mathematics (Universitext)

Featured Edition

ISBN 10:  3540533346 ISBN 13:  9783540533344
Publisher: Springer-Verlag, 1997
Softcover