This study book on functional analysis, written by Barbara MacCluer, offers a thorough introduction to the field that emerged in the early twentieth century. It covers the development and interconnections of functional analysis with classical analysis and mathematical physics. The book is intended for beginning master’s students and PhD candidates in mathematics, as well as for students in technical programs who need a broad, theoretical foundation.
Description
Functional analysis arose in the early twentieth century and gradually, conquering one stronghold after another, became a nearly universal mathematical doctrine, not merely a new area of mathematics, but a new mathematical worldview. Its foundations lie in nineteenth-century mathematics, especially classical analysis and Cantor’s theory of sets and linear algebra. This book is based on a one-semester course at the University of Virginia and is aimed at students preparing for further study in analysis, algebra, or topology.
Product specifications
- Author: Barbara MacCluer
- Series: Graduate Texts in Mathematics
- Publisher: Springer-Verlag New York Inc.
- Publication date: 2008-11-21
- Number of pages: 208
- ISBN: 9780387855288
- Topic: Functional analysis and transforms
- BISAC: MATHEMATICS / Functional Analysis