Complex Made Simple

David C. Ullrich

ISBN 10: 0821844792 / ISBN 13: 9780821844793

Verlag: American Mathematical Society, Providence, RI, 2008

Beschreibung

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

Bibliografische Details

• Titel: Complex Made Simple
• Verlag: American Mathematical Society, Providence, RI
• Erscheinungsjahr: 2008
• Sprache: Englisch
• ISBN-10: 0821844792
• ISBN-13: 9780821844793
• Einband: Hardcover
• Auflage: First Edition; First Printing.
• Zustand: Near Fine
• Zustand des Schutzumschlags: No Dust Jacket As Issued

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.