| Course objectives: Providing a survey of the theory of modern analysis and applications. |
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| Course content and structure: Metric Spaces, fixed-point theorems, compactness, topological spaces, normed vector spaces,inner product spaces, Hilbert spaces. |
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| Evaluation method: The student presents his report made about some formerly choosen topic and answers the questions related to the report and some other topics. |
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| Required reading: Graeme L. Cohen: A Course in Modern Analysis and Its Applications (2003), Cambridge University Press. http://www.astrosen.unam.mx/~aceves/Metodos/ebooks/analysis_cohen.pdf |
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| Suggested reading: Nikos Katzourakis and Eugen Varvaruca: An Illustrative Introduction to Modern Analysis (2018) CRC Press Taylor & Francis Group https://www.researchgate.net/publication/321085532_An_Illustrative_ Introduction_to_Modern_Analysis |
