Download the fantastic book titled Finite Fields with Applications to Combinatorics written by Kannan Soundararajan, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Finite Fields with Applications to Combinatorics", which was released on 09 November 2022. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of Finite Fields with Applications to Combinatorics by Kannan Soundararajan PDF
This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science.
Detail About Finite Fields with Applications to Combinatorics PDF
- Author : Kannan Soundararajan
- Publisher : American Mathematical Society
- Genre : Mathematics
- Total Pages : 100 pages
- ISBN : 1470469308
- Release Date : 09 November 2022
- PDF File Size : 26,7 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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