Classical Analysis An Approach Through Problems |
|
| Author:
| Chen, Hongwei |
| Series title: | Textbooks in Mathematics Ser. |
| ISBN: | 978-1-003-30413-5 |
| Publication Date: | Dec 2022 |
| Publisher: | CRC Press LLC
|
| Imprint: | Chapman & Hall/CRC |
| Book Format: | Digital (delivered electronically) |
| List Price: | USD $99.95USD $150.00USD $110.00 |
Book Description:
|
A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging problems, a pathway to undergraduate research, all these desires gave life to the pages here.
This book exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in the Mathematical Association of America Monthly.
The author presents proofs as a form of...
More Description
A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging problems, a pathway to undergraduate research, all these desires gave life to the pages here.
This book exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in the Mathematical Association of America Monthly.
The author presents proofs as a form of exploration rather than just a manipulation of symbols. Drawing on the papers from the MAA journals, numerous conceptually clear proofs are offered. Each proof provides either a novel presentation of a familiar theorem or a lively discussion of a single issue, sometimes with multiple derivations.
The book collects and presents problems to promote creative techniques for problem-solving and undergraduate research and offers instructors an opportunity to assign these problems as projects. This book provides a wealth of opportunities for these projects.
Each problem is selected for its natural charm--the connection with an authentic mathematical experience, the origination from the ingenious work of professionals, and ready developments into well-shaped results of broader interest.