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.

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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

UCPA Les Arcs

Search (Lectures & Workshops)

Book PDFs

A4 paper:

US letter:

A4 paper / Two-sided:

US letter / Two-sided:

Lectures & Tutorials

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Exercises

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Exercises

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Exercises

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Exercises

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Exercises

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Workshops

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Teaser screencast:

Mathbox (Proof of Concept)

Domain Coloring

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

Cauchy-Riemann Equations

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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

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By P. Mitchener, 2010.
Lecture notes of a course given at the University of Sheffield.

Fonctions Holomorphes et Surfaces de Riemann (French)

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

Complex Variables

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© 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

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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).

MINES ParisTech – Previous Sessions

Official stable repository (2017 snapshot)


Content hosted and DOI issued by MINES ParisTech.