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A course of differential geometry and topology Aleksandr Sergeevich Mishchenko, A. Fomenko
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3.A course of differential geometry and topology by A.S. I would really advise students to take courses in algebraic topology, differential geometry and so on. Topological Surfaces: Bloch Ch 2. A course of differential geometry and topology. Number theory: Serre, A Course in Arithmetic. I never took Bott's course on algebraic topology, but learned much of the subject from the book Differential Forms in Algebraic Topology, which was a write up of the course notes done with Loring Tu. Differential Geometry and Topology - A. A.course.of.differential.geometry.and.topology.pdf. I hope someday someone who has a complete set of notes from that course will write them up. Let me talk about the second chapter, “Topological Surfaces” in Bloch's “A First Course in Geometric Topology and Differential Geometry”. But the course was extremely inspirational, giving a beautiful and revelatory view of geometry in terms of Lie groups, Lie algebras, connections and curvature. Below I list some such recent breakthroughs. Invited Speaker, Differential Geometry Seminar, University of Minnesota. Galileo Galilei Differential Geometry and Topology: With a View to Dynamical. 2003, Principal Speaker, 5 day mini-course, Singapore Mathematics Institute, Madison, Wisconsin. Fomenko-455 pages in 1988 4.Problems In differential geometery And topology by Alexander S. Aleksandr Sergeevich Mishchenko, A. Differential Geometry and Topology of Curves by Yu Aminov, Yu. Topology: Bott and Tu's Differential Forms in Algebraic Topology is a very readable introduction to smooth manifolds and goes far; everyone should read it.