Real Analysis

With Proof Strategies

By: Daniel W. Cunningham

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Paperback | 9 January 2023 | Edition Number 1

At a Glance

Paperback
282 Pages

Dimensions(cm)
25.4 x 17.8 x 1.5

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Typically, undergraduates see real analysis as one of the most diﬃcult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to ﬁnd a way to bridge the gap between a student's preparation and the mathematical skills that are required to be successful in such a course.

Real Analysis: With Proof Strategies provides a resolution to the "bridging-the-gap problem." The book not only presents the fundamental theorems of real analysis, but also shows the reader how to compose and produce the proofs of these theorems. The detail, rigor, and proof strategies oﬀered in this textbook will be appreciated by all readers.

Features

Explicitly shows the reader how to produce and compose the proofs of the basic theorems in real analysis

Suitable for junior or senior undergraduates majoring in mathematics.

Industry Reviews

"This textbook is intended for undergraduate students who have completed a standard calculus course sequence that covers differentiation and integration and a course that introduces the basics of proof-writing. For students who have a limited proof-writing background, the author includes an abbreviated discussion of proofs, sets, functions, and induction in Chapter 1.

[. . . ] In summary, this book is a good resource for student's who are taking a first course in real analysis and who have a limited background in proof-writing."
- MAA Reviews

"Real Analysis: With Proof Strategies by Professor Daniel W. Cunningham explicitly shows the reader how to produce and compose the proofs of the basic theorems in real analysis and is eminently suitable for junior or senior undergraduates majoring in mathematics."
- Midwest Book Review

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