Complex Made Simple. (Graduate studies in mathematics, vol.97) - Hardcover
Buch 77 von 190: Graduate Studies in Mathematics
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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, 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)
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Complex Made Simple (Graduate Studies in Mathematics)
Verlag:
American Mathematical Society, 2008
ISBN 10: 0821844792
ISBN 13: 9780821844793
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Complex Made Simple
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American Mathematical Society, Providence, RI, 2008
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Hardcover. Zustand: Near Fine. First Edition; First Printing. 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. Bestandsnummer des Verkäufers 59215
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Complex Made Simple (Graduate Studies in Mathematics)
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Complex Made Simple (Graduate Studies in Mathematics)
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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. . . . . Bestandsnummer des Verkäufers V9780821844793
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Complex Made Simple (Graduate Studies in Mathematics)
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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. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821844793
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Complex Made Simple
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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. Bestandsnummer des Verkäufers LU-9780821844793
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Complex Made Simple
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American Mathematical Society Dez 2008, 2008
ISBN 10: 0821844792
ISBN 13: 9780821844793
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Buch. Zustand: Neu. Neuware - 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. Bestandsnummer des Verkäufers 9780821844793
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Complex Made Simple
Verlag:
American Mathematical Society, US, 2008
ISBN 10: 0821844792
ISBN 13: 9780821844793
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
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. Bestandsnummer des Verkäufers LU-9780821844793
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