Understanding Analysis
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Main subject categories: • Mathematical Analysis • Real Functions • Real Numbers • Sequences and Series • Basic Topology of ℝ • Functional Limits and Continuity • The Derivative • Sequences and Series of Functions • The Riemann IntegralThis elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
LF/840896/R
Data sheet
- Name of the Author
- Stephen Abbott
- Language
- English
- Series
- Undergraduate Texts in Mathematics [UTM]
- ISBN
- 9781441928665
- Release date
- 2001
