Mathematics courses USA

...and explains things in a lot more detail than NZM, so it could be helpful if you haven't seen proofs before. It's also pretty comprehensive...

...Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). Lectures: 2 sessions / week, 1.5 hours / session After a historical...

...Don't show me this again This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left. MIT OpenCourseWare...

...which is not part of this course per se, but may be useful background for those who are interested. Algebraic Number Theory Course Notes...

...in order to give a more hands-on introduction to the ideas of Class Field Theory. More advanced topics in number theory are discussed in this course...

...which will be based almost entirely on the exercises. I guarantee that the exams will do a good job of determining to what extent you have mastered the exercises... Learn about: GCSE Mathematics...

...but if you have never studied complex analysis you will need to be prepared to do some extra reading when we begin our study of zeta functions and L-functions... Learn about: GCSE Mathematics...

...(The lecturer will not know who made which comments.) There will be approximately four problem sets. These will count towards the final grade...

...18.781) is strongly recommended. This course is an introduction to algebraic number theory. We will follow Samuel's book Algebraic Theory of Numbers to start...

...with topological spaces, covering spaces, and the fundamental group will be assumed, as well as comfort with the structure of finitely generated modules over a... Learn about: GCSE Mathematics...

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...*About one-third of the practice talks were included in the course calendar; students scheduled the remaining two-thirds independently. Don't show me... Learn about: Professor Training...

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...It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed...

...challenging research problems. Each lecture will discuss A modest amount of background information will be provided so that the importance and context... Learn about: Communication Training...

...Theorems of Advanced Calculus. New York: Westview Press, June 1, 1965. ISBN: 0805390219. Do Carmo, Manfredo. Differential Geometry of Curves and Surfaces... Learn about: GCSE Mathematics...

...A., and Y. Li. Topological sigma-models with H-flux and twisted generalized complex manifolds. Lindstrom, U., M. Rocek, R. von Unge, and M. Zabzine...

...stability as a special case of simplicity, adding a generic automorphism to a stable first order theory, definable groups in simple theories and lovely pairs...