Katzourakis, Nikolaos,
An illustrative introduction to modern analysis / by Nikolaos Katzourakis and Eugen Varvaruca. - First edition. - 1 online resource (558 pages) : 99 illustrations
chapter 1 Sets, mappings, countability and choice / chapter 2 Metric spaces and normed spaces / chapter 3 Completeness and applications / chapter 4 Topological spaces and continuity / chapter 5 Compactness and sequential compactness / chapter 6 The Lebesgue measure on the Euclidean space / chapter 7 Measure theory on general spaces / chapter 8 The Lebesgue integration theory / chapter 9 The class of Lebesgue functional spaces / chapter 10 Inner Product Spaces and Hilbert Spaces / chapter 11 Linear operators on normed spaces / chapter 12 Weak topologies on Banach Spaces / chapter 13 Weak* topologies and compactness / chapter 14 Functional properties of the Lebesgue spaces / chapter 15 Solutions to the exercises / Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis.
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.
9781315195865 9781351765312
10.1201/9781315195865 doi
Mathematical analysis--Textbooks.
QA300 / .K38 2018
515
An illustrative introduction to modern analysis / by Nikolaos Katzourakis and Eugen Varvaruca. - First edition. - 1 online resource (558 pages) : 99 illustrations
chapter 1 Sets, mappings, countability and choice / chapter 2 Metric spaces and normed spaces / chapter 3 Completeness and applications / chapter 4 Topological spaces and continuity / chapter 5 Compactness and sequential compactness / chapter 6 The Lebesgue measure on the Euclidean space / chapter 7 Measure theory on general spaces / chapter 8 The Lebesgue integration theory / chapter 9 The class of Lebesgue functional spaces / chapter 10 Inner Product Spaces and Hilbert Spaces / chapter 11 Linear operators on normed spaces / chapter 12 Weak topologies on Banach Spaces / chapter 13 Weak* topologies and compactness / chapter 14 Functional properties of the Lebesgue spaces / chapter 15 Solutions to the exercises / Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis -- Nikos Katzourakis.
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.
9781315195865 9781351765312
10.1201/9781315195865 doi
Mathematical analysis--Textbooks.
QA300 / .K38 2018
515