Mathematics courses USA

...introduction to number theory. Topics to be covered include: There are no formal prerequisites for the class, but some familiarity with proofs will...

...forms and the global version by means of the Levi-decomposition. We conclude with a study of invariant differential forms on Lie groups and coset spaces...

...Joseph H. The Arithmetic of Elliptic Curves. Springer-Verlag, 2009. ISBN: 9780387094939. (errata) [Preview with Google Books] Some of the theorems presented...

...Springer-Verlag, 1994. ISBN: 9780387943251. (errata (PDF) Cox, David A. Primes of the Form x2 + ny2: Fermat, Class Field Theory, and Complex Multiplication...

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...Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning... Learn about: GCSE Mathematics...

...For graduate students in Mathematics (the target audience of this course), none of this should be an issue. Undergraduates and students from other departments... Learn about: GCSE Mathematics...

...and the other student lecturing in the same class as you. Each lecturer will give one or two exercises relevant to the material being presented...

...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...

...(Complete and geometric) Davis, James F., and Paul Kirk. Lecture Notes in Algebraic Topology (Graduate Studies in Mathematics, 35). American Mathematical Society... Learn about: GCSE Mathematics...

...Hatcher. Algebraic Topology. Cambridge, New York, NY: Cambridge University Press, 2002. ISBN: 052179160X. (Available online.) May. A Concise Course in Algebraic Topology...

...chosen in consultation with the instructor, reads all the papers presented by other students, and writes reactions to the papers. This course is useful... 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...

...We will discuss numerous research problems that are related to the internet. Sample topics include: routing algorithms such as BGP, communication protocols such as... Learn about: Communication Training...

...by Shai Simonson and Fernando Gouveau. It is published on the web, and talks about the language of mathematics, and how best to approach... Learn about: GCSE Mathematics...

...as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized...

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