Complex Made Simple. (Graduate studies in mathematics, vol.97) - Hardcover

Name: Complex Made Simple. (Graduate studies in mathematics, vol.97)
Author: Ullrich, David C.
ISBN: 9780821844793

Buch 77�von 190: Graduate Studies in Mathematics

Ullrich, David C.

9780821844793: Complex Made Simple. (Graduate studies in mathematics, vol.97)

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ISBN 10: 0821844792 ISBN 13: 9780821844793

Verlag: American Mathematical Society, 2008

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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, Carath�odory'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)

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Verlag: American Mathematical Society
Erscheinungsdatum: 2008
Sprache: Englisch
ISBN 10: 0821844792
ISBN 13: 9780821844793
Einband: Gebundene Ausgabe
Anzahl der Seiten: 489
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Complex Made Simple (Graduate Studies in Mathematics)

David C. Ullrich

Verlag: American Mathematical Society, 2008

ISBN 10: 0821844792 ISBN 13: 9780821844793

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Hardcover. Zustand: Very Good. NEW EU 5 EURO CHARGE FOR IMPORTS IS INCLUDED IN OUR SHIPPING PRICE. ALL ITEMS ARE DISPATCHED FROM THE UK, ALL OVERSEAS ORDERS SENT BY TRACKABLE AIR MAIL. IF YOU ARE LOCATED OUTSIDE THE UK PLEASE ASK US FOR A POSTAGE QUOTE FOR MULTI VOLUME SETS BEFORE ORDERING. Artikel-Nr. mon0000955702

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Complex Made Simple (Graduate Studies in Mathematics)

David C. Ullrich

Verlag: American Mathematical Society (edition ), 2008

ISBN 10: 0821844792 ISBN 13: 9780821844793

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Hardcover. Zustand: Fair. The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way. Artikel-Nr. 0821844792-7-1

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Complex Made Simple (eng)

David C. Ullrich

Verlag: American Mathematical Society, 2008

ISBN 10: 0821844792 ISBN 13: 9780821844793

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Complex Made Simple (Graduate Studies in Mathematics)

David C. Ullrich

Verlag: American Mathematical Society, 2008

ISBN 10: 0821844792 ISBN 13: 9780821844793

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Zustand: New. Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis. Series: Graduate Studies in Mathematics. Num Pages: 489 pages, Illustrations. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 255 x 184 x 32. Weight in Grams: 1048. . 2008. Hardcover. . . . . Artikel-Nr. V9780821844793

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Complex Made Simple

David C. Ullrich

Verlag: MP-AMM American Mathematical, 2008

ISBN 10: 0821844792 ISBN 13: 9780821844793

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HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Artikel-Nr. FW-9780821844793

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Complex Made Simple

David C. Ullrich

Verlag: American Mathematical Society, US, 2008

ISBN 10: 0821844792 ISBN 13: 9780821844793

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Hardback. Zustand: New. 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. He will also, sometimes, explain why a tempting idea does not work. Complex Made Simple looks at the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains.Ullrich also takes considerable care to discuss the modular group, modular function, and covering maps, which become important ingredients in his modern treatment of the often-overlooked original proof of the Big Picard Theorem. This book is suitable for a first-year course in complex analysis. The exposition is aimed directly at the students, with plenty of details included. The prerequisite is a good course in advanced calculus or undergraduate analysis. Artikel-Nr. LU-9780821844793

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