The Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics)
| Author | : | |
| Rating | : | 4.10 (949 Votes) |
| Asin | : | 0070856133 |
| Format Type | : | paperback |
| Number of Pages | : | 342 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
"Remembered with reverence" according to Paul J. Papanek. I stumbled onto this discussion by accident, and then remembered that Rudin's book had been my Analysis text very many years ago, in a two-semester upper division course, for undergrad math majors. Personally, I've long since left behind the formal pursuit of math, but keep a fond appreciation for those years of study.I recall that at the beginning of my Analysis course I hated Rudin's book, and then after a few weeks found that I was beginning to tolerate it, even appreciate it. By the end of the course, under the tutelage of my wily professor, I came to regard the book and its aut. Like drinking math out of a fire hose Y. Wang For the Brave and the Determined, learning analysis from Principles of Mathematical Analysis (PMA) is a sublimely rewarding experience. (Dilettantes keep away.)PMA, a.k.a. 'Baby Rudin', is an introductory text in analysis for the serious student of mathematics. Back in 2004, this was the text used for the first semester of Harvard's freshman analysis/linear algebra course (Math 25, modestly titled "Honors Multivariable Calculus and Linear Algebra", the lite version of the infamous Math 55 sequence). A majority of students in the course came in with a working knowledge of proof writi. "Rudin, oh Rudin" according to Stephen R Garth. What can I say its a classic, though better as a second analysis book.
This text is part of the Walter Rudin Student Series in Advanced Mathematics.. The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. The text begins with a discussion of the real number system as a complete ordered field