Download E-books Difference Sets: Connecting Algebra, Combinatorics, and Geometry (Student Mathematical Library) PDF

By Emily H. Moore

Distinction units belong either to team concept and to combinatorics. learning them calls for instruments from geometry, quantity thought, and illustration concept. This publication lays a beginning for those subject matters, together with a primer on representations and characters of finite teams. It makes the learn literature on distinction units obtainable to scholars who've studied linear algebra and summary algebra, and it prepares them to do their very own study. this article is appropriate for an undergraduate capstone path, because it illuminates the various hyperlinks between issues that the scholars have already studied. To this finish, virtually each bankruptcy ends with a coda highlighting the most principles and emphasizing mathematical connections. This publication can be used for self-study via somebody attracted to those connections and urban examples. An abundance of workouts, various from uncomplicated to tough, invitations the reader to resolve puzzles, build proofs, and examine problems--by hand or on a working laptop or computer. tricks and suggestions are supplied for chosen workouts, and there's an in depth bibliography. The final bankruptcy introduces a few functions to real-world difficulties and provides feedback for extra interpreting. either authors are skilled lecturers who've effectively supervised undergraduate learn on distinction units.

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