Abbott, Stephen
Understanding Analysis - Undergraduate Texts in Mathematics (Paperback)
- ISBN 13:
- 9781493950263
- author:
- Abbott, Stephen
- format:
- Paperback
- publisher:
- Springer-Verlag New York Inc.
- language:
- English
- Publication Year:
- 2016
- Pages:
- 312
- Dimensions:
- 155 mm X 235 mm
- Genre:
- Science, Technology & Medicine, Mathematics & science, Mathematics,
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Understanding Analysis by Stephen Abbott is a lively introductory text that explores the rewards of a rigorous study of functions of a real variable. The book takes an approach that balances informal discussions of key questions with precise, yet accessible, developments of the techniques needed to understand them. By focusing on the unifying themes of approximation and the resolution of paradoxes, the text provides a coherent and engaging progression of ideas. This approach helps students to develop a deeper understanding of mathematical proofs and how to write them. The book includes a range of exercises, including 150 new ones, and project-style sections to help students master the methods of analysis. The book draws on the author's 15 years of classroom experience to provide a solid foundation for students. Investigations of key results, such as Euler's computation of ζ(2) and the Weierstrass Approximation Theorem, serve as motivation for students to develop their analytical skills.
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