Classical analysis : an approach through problems / Hongwei Chen

By:

Chen, Hongwei [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Boca Raton : Chapman & Hall/CRC, 2022Description: 1 Online-Ressource (1 online resource)ISBN:

9781003304135
1003304133
9781000786545
1000786595
9781000786590

Subject(s):

Additional physical formats: 1000786544 LOC classification:

QA301

Online resources:

Zugang im Netz des KIT

Summary: 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 American Mathematical Monthly. The author presents proofs as a form of exploration rather than just a manipulation of symbols. Drawing on the papers from the Mathematical Association of America's 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, its origination from the ingenious work of professionals, develops well-shaped results of broader interestPPN: PPN: 1882642996Package identifier: Produktsigel: ZDB-4-NLEBK | BSZ-4-NLEBK-KAUB

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