Complex Made Simple

David C. Ullrich

ISBN 10: 0821844792 / ISBN 13: 9780821844793

Editore: American Mathematical Society, Providence, RI, 2008

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First Edition (2008) , First Printing indicated by a complete numerical sequence. Very Near Fine: shows only a superficial scratch to the lamination at the upper rear panel; the very slightest spine lean; a hint of crimp to the heel of the backstrip; the binding is secure; the text is clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome, nearly-new copy, structurally sound and tightly bound, showing minor, unobtrusive imperfections. Bright and clean. Corners sharp. NOT a Remainder, Book-Club, or Ex-Library. Small 4to (10.3 x 7.35 x 1.25 inches) . Graduate Studies in Mathematics Series, No. 97: Hardcover: Laminate Boards. Perhaps uniquely among mathematical topics, complex analysis presents the student with the opportunity to learn a thoroughly developed subject that is rich in both theory and applications. Even in an introductory course, the theorems and techniques can have elegant formulations. But for any of these profound results, the student is often left asking: What does it really mean? Where does it come from? In Complex Made Simple, David Ullrich shows the student how to think like an analyst. In many cases, results are discovered or derived, with an explanation of how the students might have found the theorem on their own. Ullrich explains why a proof works. ; Graduate Studies in Mathematics; Vol. 97; Small 4to 9" - 11" tall; xi, 489 pages.

Codice articolo 59215

Dati bibliografici

• Titolo: Complex Made Simple
• Editore: American Mathematical Society, Providence, RI
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0821844792
• ISBN 13: 9780821844793
• Rilegatura: Hardcover
• Edizione: First Edition; First Printing.
• Condizione: Near Fine
• Condizione della sovraccoperta: No Dust Jacket As Issued

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