02045pam a22002291i 4500008004500000015001900045020001800064037004000082082001400122100002300136245005200159250000800211260003000219300002600249504059400275520073100869650002701600700003201627776003501659852003201694856008901726190401b 2018 ||||| |||| 00| 0 eng d aGBB7M95322bnb a9781138718272 a9781351765329bIngram Content Group a515bK2I5 aKatzourakis, Nikos aAn illustrative introduction to modern analysis a1st aNew YorkbCRC Pressc2018 axv, 541p.bWith index aTable of Contents
1 Sets, mappings, countability and choice
2 Metric spaces and normed spaces
3 Completeness and applications
4 Topological spaces and continuity
5 Compactness and sequential compactness
6 The Lebesgue measure on the Euclidean space
7 Measure theory on general spaces
8 The Lebesgue integration theory
9 The class of Lebesgue functional spaces
10 Inner product spaces and Hilbert spaces
11 Linear operators on normed spaces
12 Weak topologies on Banach spaces
13 Weak* topologies and compactness
14 Functional properties of the Lebesgue spaces
15 Solutions to the exercises aAimed 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.
https://www.crcpress.com/An-Illustrative-Introduction-to-Modern-Analysis/Katzourakis-Varvaruca/p/book/9781138718272 aMathematical analysis. aVarvaruca, EugeneCo author iPrint version :z9781138718272 bNETELDhNetworked resources uhttps://nls.ldls.org.uk/welcome.html?ark:/81055/vdc_100053344026.0x000001zView item