Finite Fields with Applications to Combinatorics is popular PDF and ePub book, written by Kannan Soundararajan in 2022-11-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Finite Fields with Applications to Combinatorics can be Read Online from any device for your convenience.
Finite Fields with Applications to Combinatorics Book PDF Summary
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 Book of Finite Fields with Applications to Combinatorics PDF
- Author : Kannan Soundararajan
- Release : 09 November 2022
- Publisher : American Mathematical Society
- ISBN : 9781470469306
- Genre : Mathematics
- Total Page : 100 pages
- Language : English
- PDF File Size : 10,9 Mb
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