Understanding Analysis by Stephen Abbott
An accessible introduction to real analysis that develops rigorous proof-based thinking while motivating concepts with intuition and examples; it builds the real number system and the language of limits, sequences, and series before treating continuity, differentiation, integration, and uniform convergence of functions. The text emphasizes fundamental ideas of completeness, compactness, and connectedness in the topology of the real line and proves central results such as Bolzano–Weierstrass, Heine–Borel, and the Fundamental Theorem of Calculus, all supported by clear explanations and carefully chosen exercises to bridge students from computational calculus to abstract analysis.
Purchase from
Bookshop.org
- Published
- 2001
- Nationality
- American
- Length
- Unknown
- Pages
- 300-400 pages
- Original Language
- English
- Avg User Rating
-
(4.0)
- Alternate Titles
- None
This book is not currently on any lists.