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MOSCOW CENTER FOR CONTINUOUS MATHEMATICAL EDUCATION FOR UNDERGRADUATES AND GRADUATE STUDENTS |
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Advanced courses | |
Elementary courses, Intermediate courses, Non-mathematical courses |
General information: Introduction About the IUM About the HSE About HSE Math Department About the MCCME Program features Contacts Application: Grants Application procedure -Application form -Recommendation Costs After acceptance Program: Schedule List of courses Accommodations: Living in Moscow Insurance and medical information Current semester info: Timetable Teachers & staff Students IUM Library Alumni: List of Alumni Home Universities Impressions Alumni reports Photos |
Mathematical Catastrophe Theory
1.Critical and noncritical points. Implicit function theorem.
2.Morse lemma. Examples of non-Morse functions.
Commutative and homological algebra studies algebraic structures, say, modules over commutative rings, in terms of their generators and relations. It provides the most powerful algebraic tools for applications in algebraic and differential geometry, number theory, algebraic topology, etc. This course gives a quick introduction to these techniques. It is designed as the starting point for those who intend to study algebraic geometry and related topics.
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