Chapman and Hall/CRC
336 pages | 28 B/W Illus.
Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis.
The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds.
Preliminaries: Numbers, Sets, Proofs, and Bounds. Sequences and Series. Limits and Continuity. Derivatives. Integrals.