18.200 Principles of Discrete Applied Mathematics
18.200 Principles of Discrete Applied Mathematics (Spring 2024, MIT OCW). Instructors: Prof. Ankur Moitra, Prof. Peter Shor, and Susan Ruff. This course will teach you illustrative topics in discrete applied mathematics, including counting, generating functions, probability, linear optimization, algebraic structures, basic number theory, information theory, and coding theory. It is a CI-M (Communication Intensive in the Major) course and thus includes a writing component. (from ocw.mit.edu)
| Lecture 11 - Basic Group Theory |
Definition of a group; examples of groups: addition mod n, multiplication mod n. Definitions of subgroup, definition of cosets, statement and proof of Lagrange's theorem. Finally, we apply Lagrange's theorem to prove Fermat's little theorem.
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