An Illustrative Introduction to Modern Analysis

Nikolaos Katzourakis, Eugen Varvaruca

December 1, 2017 by Chapman and Hall/CRC
Textbook - 558 Pages - 99 B/W Illustrations
ISBN 9781138718272 - CAT# K32242

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Features

    • Covers, in a coherent and unified manner, topics that are typically taught separately in a variety of university courses
    • Written in a student-friendly style, provides informative commentary and thorough motivation for the abstract results
    • Contains 99 images which offer intuitive support to the challenging mathematical arguments
    • Includes 197 exercises with full solutions which allow the reader to verify their comprehension of the main themes

    Summary

    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.