Problems in Real Analysis
- Charalambos Aliprantis, Purdue University, Indianapolis, U.S.A.
- Owen Burkinshaw, Indiana University-Purdue University, Indianapolis , U.S.A.
Graduate students and researchers in mathematics and science, including the social sciences.
- Published: October 1998
- Imprint: ACADEMIC PRESS
- ISBN: 978-0-12-050253-0
From Book News, Inc. First published in 1981 as a textbook for undergraduate seniors and first-year graduate students in math, this iteration adds Fourier analysis, a chapter on Hilbert spaces, and about 150 new problems of varying difficulty. Aliprantis (economics and mathematics, Purdue U.) and Burkinshaw (mathematical sciences, Indiana U., Purdue U.) focus on measure theory via the semiring approach and the Lebesgue integral as well as their applications. They also cover topology and continuity, normed spaces, and special topics in integration. A humanistic touch: brief biographies of historical contributors to real analysis are interwoven throughout the text. Book News, Inc.Â®, Portland, OR