Handbook of Analysis and Its Foundations
| Author | : | |
| Rating | : | 4.34 (851 Votes) |
| Asin | : | 0126227608 |
| Format Type | : | paperback |
| Number of Pages | : | 883 Pages |
| Publish Date | : | 2013-06-30 |
| Language | : | English |
DESCRIPTION:
He is currently Associate Professor at Vanderbilt University, and has also taught at Duke University. Eric Schechter obtained his Ph.D. He currently resides in Nashville, Tennessee with his wife, Elvira Casal, and his two children. Please visit the web page for hisbook: mathnderbilt/schectex/ccc/. in mathematics at the University of Chicago. S
The wonderful World of Mathematical Analysis This guided tour through mathematical analysis and its foundations is quite different from all existing textbooks out there. The book emphazises the interconnections between different areas of mathematics. Apart from all the standard material found in all real analysis textbooks, it covers in detail material from algebra, logic and set theory, as it relates to analysis. The book really makes one see the larger picture.It also allows one to draw finer distinctions. The book gives a great overview of various weak forms. From an amateur's point of view. A Customer I've always wanted to know more math. Finally, I've discovered a big book that makes the tough stuff accessible without sacrificing detail or over-simplifying the hard concepts. For someone with a little bit of college math - calculus and maybe a few more courses - this is it. Analysis, abstract algebra, set theory, topology . It's all here despite the focus on foundations. And it's organized in a way that makes it possible to follow the thread of a topic throughout the book without reading everything from the beginn. "Unusual, and Excellent Book" according to Alexander C. Zorach. This book is unlike any other--as the author says, it's much like a collection of first chapters of graduate-level math texts. What makes this book unique and valuable are the connections drawn between all the different areas, as well as elementary presentations of certain key topics. I feel that this book, much like Lang's algebra, has the potential to redefine the way analysis is studied and taught.Most analysis books go into much more depth and prove many more results--this book, in spite of its size, won't take y
I admire him for his courage in attempting such a daunting task, and I admire him even more for what appears to me to be a very successful completion of this taskI am very excited over the prospect of this book being made available; it will be a very useful reference not only for beginning graduate students, but also for their teachers."--Robert G. Cain, GEORGIA INSTITUTE OF TECHNOLOGY"At the very outset, I would like to say that I am very much impressed by what I have seen. I have read the Preface and understood the authors purpose and his aims. It is well-organized and the exposition in the sample chapters is quitegoodclear, concise, and relatively easy to read. "This is quite a book! From the table of contents, it would appear to include just about
More complete than any other book on the subject, students will find this to be an invaluable handbook. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. For more information on this book, see mathnderbilt/Key Features* Covers some hard-to-find results including:* Bessagas and Meyers converses of the Contraction Fixed Point Theorem* Redefinition of subnets by Aarnes and Andenaes* Ghermans characterization of topological convergences* Neumanns nonlinear Closed Graph Theorem* van Maarens geometry-free version of Sperners Lemma* Includes a few advanced topics in functional analysis* Features all