Analysis: An Introduction to Proof

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9780130332677: Analysis: An Introduction to Proof

For "baby" analysis with single variable only. Appropriate for one term courses in analysis and advanced calculus. Text starts with a little logic and how to construct a proof. Revision features: material on the topology of the reals has been expanded and divided into two sections. Two optional sections on metric spaces and continuity in metric spaces have been added.

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Review:

"Let me begin by saying that I really like this book, and I do not say that of very many books. What impresses me most is the level of motivation and explanation given for the basic logic, the construction of proofs, and the ways of thinking about proofs that this book provides in its first few sections. It felt that the author was talking to the reader the way I would like to talk to students. There was an air of familiarity there. All kinds of useful remarks were made, the type I would like to make in my lectures." — Aimo Hinkkanen, University of Illinois at Urbana

"The writing style is suitable for our students. It is clear, logical, and concise. The examples are very helpful and well-developed. The topics are thoroughly covered and at the appropriate level for our students. The material is technically accurate, and the pedagogical material is effectively presented." — John Konvalina, University of Nebraska at Omaha

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