Complex Made Simple (Graduate Studies in Mathematics)

David C. Ullrich

ISBN 10: 0821844792 / ISBN 13: 9780821844793

Editore: American Mathematical Society, 2008

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Dati bibliografici

• Titolo: Complex Made Simple (Graduate Studies in Mathematics)
• Editore: American Mathematical Society
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0821844792
• ISBN 13: 9780821844793
• Rilegatura: Hardcover
• Condizione: Very Good

Descrizione articolo

Riassunto

Ullrich teaches readers how to think like analysts long before they get to the "Big Picard Theorem," explaining why proofs do and do not work. He starts with Cauchy-Riemann equations in the introduction, then proceeds to power series, results on holomorphic functions, logarithms, winding numbers, Couchy's theorem, counting zeros and the open mapping theorem, Eulers 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, analytic continuation, orientation, the modular function, and the promised Picard theorems. He continues with Abel's theorem, the gamma function, universal covering spaces, Cauchy's theorem for non-holomorphic functions and harmonic conjugates. The result is suitable for a course in complex analysis for students with experience in advanced calculus. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

Product Description

Book by David C Ullrich