**Complex Analysis on Riemann Surfaces**

by Curtis McMullen

**Publisher**: Harvard University 2005**Number of pages**: 89

**Description**:

Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; Line bundles; Curves and their Jacobians; Hyperbolic geometry; Quasiconformal geometry.

Download or read it online for free here:

**Download link**

(560KB, PDF)

## Similar books

**Holomorphic Spaces**

by

**S. Axler, J. McCarthy, D. Sarason**-

**Cambridge University Press**

This volume consists of expository articles on holomorphic spaces. Topics covered are Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects play in modern analysis.

(

**6784**views)

**Calculus of Residua: Complex Functions Theory a-2**

by

**Leif Mejlbro**-

**BookBoon**

This is the second part in the series of books on complex functions theory. From the table of contents: Introduction; Power Series; Harmonic Functions; Laurent Series and Residua; Applications of the Calculus of Residua; Index.

(

**6514**views)

**Functions of a Complex Variable**

by

**Thomas Murray MacRobert**-

**The Macmillan Company**

This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that theory...

(

**4828**views)

**Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators**

by

**Nicolas Lerner**-

**BirkhĂ¤user**

This is a book on pseudodifferential operators, with emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. The first part of the book is accessible to graduate students with a decent background in Analysis.

(

**5509**views)