# Complex Analysis

## By Sébastien Boisgérault, MINES ParisTech

### January 16, 2019

# MINES ParisTech – Current Session: 2019

Course C1223: 3rd semester, 2 ECTS credits, 20 contact hours.

DOI: 10.23646/oer.000001.

### Reminders and Reviews (J.-E. Deschaud, French)

### Schedule

6–12 January 2019: course at UCPA les Arcs (Bourg Saint-Maurice)

7–11 January 2019: course at MINES ParisTech (Paris)

28 January 2019, 8h30–11h15: written exam, MINES ParisTech

### Location

# Search (Lectures & Workshops)

# Book PDFs

# Lectures & Tutorials

# Workshops

# Mathbox (Proof of Concept)

### Domain Coloring

Use (mouse click-and-drag) to change the perspective.

### Cauchy-Riemann Equations

Use (mouse click-and-drag) to change the perspective and (right arrow key) to navigate the slideshow.

# Free Resources

### Complex Analysis

By T. Tao, 2016, free to use (source).

Lecture Notes of UCLA 246A course (work in progress).

### Real and Complex Analysis

By P. Mitchener, 2010.

Lecture notes of a course given at the University of Sheffield.

### Fonctions Holomorphes et Surfaces de Riemann (French)

By J.-P. Demailly.

Extended lectures notes (ENS de Lyon, 1995-1997 and 2003-2005).

### Complex Variables

© Copyright 2004 by R.B. Ash and W.P. Novinger.

Paper or electronic copies for non-commercial use may be made freely without explicit permission of the authors. All other rights are reserved.

### A Brief Proof of Cauchy’s Integral Theorem

By John D. Dixon, © copyright 1971 American Mathematical Society.

Proc. Amer. Math. Soc. 29 (1971), 625-626. MSC2010: 30E20, Zbl 0205.37801.

### Newman’s Short Proof of the Prime Number Theorem

By Don Bernard Zagier, © 1997 Mathematical Association of America.

The American Mathematical Monthly, Vol. 104, No. 8 (Oct., 1997), pp. 705-708.

Read online with a JSTOR free account (JSTOR terms and conditions of use).