This textbook in real analysis is written by N. L. Carothers and is aimed at advanced undergraduates and beginning PhD students in mathematics and related fields. The focus is on a thorough treatment of metric and normed linear spaces, function spaces, and Lebesgue measures and integration on the line. The book combines rigorous theoretical exposition with historical background and practical exercises.
Description
This real analysis course, aimed at advanced undergraduates and beginners in graduate studies, provides an overview of fundamental concepts and theories. Carothers covers the topics in an accessible and informal way, with complete proofs, motivating explanations, and recommended reading for both specialists and non-specialists. The text is suitable for a variety of fields of study such as pure and applied mathematics, statistics, education, engineering, and economics.
Product information
- Author: N. L. Carothers (Bowling Green State University, Ohio)
- Publisher: Cambridge University Press
- Binding: Trade paperback (US)
- Publication date: 2000-08-15
- Number of pages: 416
- ISBN: 9780521497565
- Subject: real analysis, real variables
- BISAC: MATHEMATICS / Mathematical Analysis