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CS 203: Mathematics for Computer Science - III

Units: 3-0-0-9 (modular first half)
Pre-requisites: None
Course Contents:
  1. Group theory: definition of groups, cosets and Lagrange’s theorem, subgroups, normal subgroups, quotient groups, group action and Burnside’s lemma.
  2. Rings, Fields, integral domains - basic definitions and properties. Field extensions, Chinese remaindering over integers and polynomial rings. (optional: Introduction to finite fields.)
Books and References:
  1. IN Herstein, Abstract Algebra, 3rd Ed., Wiley, 1996.
  2. DS Dummit, RM Foote, Abstract Algebra, John Wiley, 2004.