Title Statements
- Full title :Complex made simple / David C. Ullrich.
Edition Statements
- Publication Date:©2008.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2008.
The Physical Object
- Description:xi, 489 pages : : illustrations ; : 27 cm.
Edition Identifiers
- ISBN:9780821844793, 0821844792
- oclc:ocn226213172
- LC Classification:QA331.7
- Dewey Decimal:515/.9
Table of Contents
Differentiability and the Cauchy-Riemann equations -- Power series -- Preliminary results on holomorphic functions -- Elementary results on holomorphic functions -- Logarithms, winding numbers, and Cauchy's theorem -- Counting zeroes and the open mapping theorem -- Euler's formula for sin(z) -- Inverses of holomorphic maps -- Conformal mappings -- Normal families and the Riemann mapping theorem -- Harmonic functions -- Simply connected open sets -- Runge's theorem and the Mittag-Leffler theorem -- The Weierstrass factorization theorem -- Carathéodory's theorem -- More on Aut(D) -- Analytic continuation -- Orientation -- The modular function -- Preliminaries for the Picard theorems -- The Picard theorems -- Abel's theorem -- More on Brownian motion -- More on the maximum modulus theorem -- The gamma function -- Universal covering spaces -- Cauchy's theorem for nonholomorphic functions -- Harmonic conjugates.
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