Algebra 1

This course is designed for first-year computer science students. It provides a comprehensive study of the fundamental concepts of algebra through the exploration of mathematical logic and methods of proof. The course addresses set theory, emphasising its properties and mappings, including key notions such as injective, surjective, bijective, and inverse functions. It also examines binary relations on sets, including equivalence and order relations, and explores the main algebraic structures, focusing on the defining properties of groups, rings, and fields. The final part of the course covers the polynomial ring.

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