An Illustrative Introduction to Modern Analysis

An Illustrative Introduction to Modern Analysis PDF Author: Nikolaos Katzourakis
Publisher: CRC Press
ISBN: 1351765329
Category : Mathematics
Languages : en
Pages : 434

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Book Description
Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies. Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.