Science Degrees in the USA

...and multitensor categories Tensor product and tensor functors Unit object Grothendieck rings Groupoids Finite abelian categories Fiber functors Coalgebras...

...Modify, remix, and reuse (just remember to cite OCW as the source.) Learn more at Get Started with MIT OpenCourseWare... Learn about: GCSE Physics, Mathematical Physics...

...helpful as we'll be doing plenty of those in class and homework. However, if you aren't used to mathematical proofs, don't despair! You will hopefully...

...ending with some results about cohomology of Lie groups. Helgason, Sigurdur. Differential Geometry, Lie Groups, and Symmetric Spaces. Providence...

...2006. ISBN: 9781419652578. This book is also available for free on Milne's website, along with addendum/erratum. Serre, Jean-Pierre. A Course in Arithmetic...

...including an overview of the proof of Fermat's Last Theorem. Each of the topics listed below corresponds to roughly one week of lectures (a total of three hours)...

...Send to friends and colleagues. Modify, remix, and reuse (just remember to cite OCW as the source.) Learn more at Get Started with MIT OpenCourseWare...

...connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group... Learn about: GCSE Mathematics...

...Die Mathematik ist die Königin der Wissenschaften und die Zahlentheorie ist die Königin der Mathematik - Carl Friedrich Gauss [Translation... Learn about: GCSE Mathematics...

...There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer...

...There will also be a focus on computer algebra calculations, esp. using gp/Pari and sage. Siman Wong's gp/Pari tutorial is helpful. Topics to be covered include Samuel...

...This is a course on the singular homology of topological spaces. Topics include: Singular homology, CW complexes, Homological algebra, Cohomology... Learn about: GCSE Mathematics...

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...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...

...projects, or exams. 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...

...Modern Differential Geometry of Curves and Surfaces with Mathematica. Boca Raton, FL: Chapman & Hall/CRC, 2006. ISBN: 9781584884484. The course will follow...

...Vol. 33. Reprint edition. New York: Springer-Verlag, November 1, 1988. ISBN: 0387901485. Don't show me this again This is one of over 2,200 courses on...

...This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18...

...or to teach others. We don't offer credit or certification for using OCW. Made for sharing . Download files for later. Send to friends and colleagues... Learn about: Communication Training...

...Note that Do Carmo treats only surfaces in R3; many things are easy to generalise; some things do not generalise or it is difficult to see how they... Learn about: GCSE Mathematics...