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 ...
Read More
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.
Read Less
Add this copy of Complex Made Simple (Graduate Studies in Mathematics) to cart. $68.03, very good condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2008 by American Mathematical Society.
Add this copy of Complex Made Simple (Graduate Studies in Mathematics) to cart. $103.04, very good condition, Sold by Halcyon Books rated 4.0 out of 5 stars, ships from LONDON, LONDON, UNITED KINGDOM, published 2008 by American Mathematical Society.
Add this copy of Complex Made Simple (Graduate Studies in Mathematics) to cart. $114.51, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2008 by American Mathematical Society.
Add this copy of Complex Made Simple (Graduate Studies in Mathematics) to cart. $159.74, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2008 by American Mathematical Society.
Add this copy of Complex Made Simple (Graduate Studies in Mathematics) to cart. $162.02, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2008 by American Mathematical Society.
Add this copy of Complex Made Simple to cart. $223.15, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2008 by American Mathematical Society(RI).
Add this copy of Complex Made Simple (Graduate Studies in Mathematics) to cart. $262.59, new condition, Sold by Kennys.ie rated 4.0 out of 5 stars, ships from Galway, IRELAND, published 2008 by American Mathematical Society(RI).
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
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.....We ship daily from our Bookshop.
