An illustrative introduction to modern analysis / by Nikolaos Katzourakis and Eugen Varvaruca.

Format:

Book

Author/Creator:

Katzourakis, Nikolaos, author.

Varvaruca, Eugen, author.

Contributor:

CRC Press.

Series:

A Chapman & Hall Book

Language:

English

Subjects (All):

Mathematical analysis.

Physical Description:

1 online resource (541 pages) : illustrations, tables.

Edition:

First edition.

Place of Publication:

Boca Raton, FL : CRC Press, an imprint of Chapman and Hall/CRC, 2018.

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.

Contents:

chapter 1 Sets, mappings, countability and choice / Nikos Katzourakis

chapter 2 Metric spaces and normed spaces / Nikos Katzourakis

chapter 3 Completeness and applications / Nikos Katzourakis

chapter 4 Topological spaces and continuity / Nikos Katzourakis

chapter 5 Compactness and sequential compactness / Nikos Katzourakis

chapter 6 The Lebesgue measure on the Euclidean space / Nikos Katzourakis

chapter 7 Measure theory on general spaces / Nikos Katzourakis

chapter 8 The Lebesgue integration theory / Nikos Katzourakis

chapter 9 The class of Lebesgue functional spaces / Nikos Katzourakis

chapter 10 Inner Product Spaces and Hilbert Spaces / Nikos Katzourakis

chapter 11 Linear operators on normed spaces / Nikos Katzourakis

chapter 12 Weak topologies on Banach Spaces / Nikos Katzourakis

chapter 13 Weak* topologies and compactness / Nikos Katzourakis

chapter 14 Functional properties of the Lebesgue spaces / Nikos Katzourakis

chapter 15 Solutions to the exercises / Nikos Katzourakis.

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (EBC, viewed January 31, 2018).

ISBN:

1-315-19586-0

1-351-76532-9

1-351-76533-7

9781315195865

OCLC:

1018252756