We then examine some of the most important codes currently being used to protect information, including linear codes, which in addition to being mathematically elegant are the most practical codes for error correction, and the RSA public key cryptographic scheme, popular nowadays for internet applications. Mr. Lotto 290. Open only to seniors whose major is mathematics. The department. 327b. Measure theory, the Lebesgue integral, Banach spaces of measurable functions.
Topics vary from year to year.
Additional topics drawn from sufficient statistics, estimation theory, statistical testing, and inferences about normal models. Topics are drawn from computability theory, model theory, and set theory. Mathematical and philosophical implications also are discussed. Rings and fields, with a particular emphasis on Galois theory.