Compact Riemann Surfaces
by Jürgen Jost /
2002 / English / DjVu
3.5 MB Download
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 2nd edition the author has further improved aspects of
presentation of various parts of the text.
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 2nd edition the author has further improved aspects of
presentation of various parts of the text.