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Book synopsis

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how , but why , the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman Pettis theorem.§§With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for self-study.§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Introductory Course in Functional Analysis
• Author: Adam Bowers, Nigel J. Kalton
• Language: English
• Binding: Hardback
• Number of pages: 232
• EAN: 9781493919444
• ISBN: 149391944X
• ID: 05259404
• Publisher: Springer-Verlag New York Inc.
• Weight: 396 g
• Dimensions: 234 × 171 × 11 mm
• Date of publishing: 12. December 2014

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