## Professor

John Hunter

Department of Mathematics

University of California

Davis, CA 95616, USA

e-mail: `jkhunter@ucdavis.edu`

Phone:

- (530) 554-1397 (Office)
- (530) 752-6653 (Fax)

Office: 3230 Mathematical Sciences Building

## Course Information

MAT 205B, Spring Quarter, 2015

**Lectures:**
MWF 2:10–3:00 p.m., Physics 130

CRN: 39589

**Office hours:**
TBA
W 12:30–1:30 p.m., Th 1:10–2:15 p.m.
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**Text:**
*Complex Analysis*, E. M. Stein and R. Shakarchi

**MAT 205A:**
A link to the course website for MAT 205A, taught by Prof. Craig Tracy, is
here.

## Some books

Here are some further references on complex analysis, Riemann surfaces, and algebraic topology.

**Complex analysis**

- G. A. Jones and D. Singerman, Complex Functions: An Algebraic and Geometric Viewpoint, Cambridge University Press, 1987.

*An approachable and readable account of the geometric aspects of complex analysis.* - W. Schlag, A Course in Complex Analysis and Riemann Surfaces, AMS, 2014.

*A clear and useful recent text that does what the title says.* - R. Narasimhan and Y. Nievergelt, Complex Analysis in One Variable, 2nd Ed., Birkhauser, 2001.

*A concise, rigorous, and elegant presentation of the complex analysis needed for Riemann surfaces and several complex variables.* - G. Sansone and J. Gerretsen, Lectures on the Theory of Functions of a Complex Variable, Vol. II. Geometric Theory, Noordhoff, 1969.

*An old style, leisurely disussion of conformal mapping and Riemann surfaces with interesting examples and insights. (Vol. I. on basic complex analysis is good too.)***Riemann surfaces** - A. J. Beardon, A primer on Riemann surfaces, Cambridge University Press, 1984.

*Excellent introduction (clear and short). A new edition is due out 2016.* - O. Forster, Lectures on Riemann Surfaces, Graduate Texts in Mathematics 81, Springer 1981.

*Another concise, elegant presentation.* - S. Donaldson, Riemann Surfaces, Oxford University Press 2011.

*Given the author, no further comment is needed.*

**Algebraic topology**

*A concrete introduction which includes a discussion of Riemann surfaces.*

*A standard, well-motivated introduction.*

## Homework

**Set 1** (Fri, Apr 10)

Ch. 8, Exercises, p. 248: 1, 4, 5

Ch. 8, Problems, p. 254: 4

**Set 2** (Fri, May 1)

Ch. 2, Exercises, p. 64: 11, 12

Ch. 8, Exercises, p. 248: 7, 8

**Set 3** (Fri, Jun 5)

here