TY  - BOOK
AU  - Katzourakis,Nikolaos
AU  - Varvaruca,Eugen
ED  - CRC Press.
TI  - An illustrative introduction to modern analysis
SN  - 9781315195865
AV  - QA300 .K38 2018
U1  - 515 23
PY  - 2018///
CY  - Boca Raton, FL
PB  - CRC Press, an imprint of Chapman and Hall/CRC
KW  - Mathematical analysis
KW  - Textbooks
N1  - 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
N2  - 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
UR  - https://www.taylorfrancis.com/books/9781315195865
ER  -