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Kannan Soundara Finite Fields, with Applications to Comb (Paperback) (UK IMPORT) - Picture 1 of 1
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Kannan Soundara Finite Fields, with Applications to Comb (Paperback) (UK IMPORT)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Finite Fields, with Applications to Combinatorics
Publication Name
Finite Fields, with Applications to Combinatorics
Title
Finite Fields, with Applications to Combinatorics
Author
Kannan Soundararajan
Format
Trade Paperback
EAN
9781470469306
ISBN
9781470469306
Publisher
American Mathematical Society
Genre
Science Nature & Math
Release Date
18/02/2023
Release Year
2023
Language
English
Country/Region of Manufacture
US
Item Height
216mm
Item Length
140mm
Item Weight
272g
Series
Student Mathematical Library
Number of Pages
170 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
1470469308
ISBN-13
9781470469306
eBay Product ID (ePID)
6058384983

Product Key Features

Book Title
Finite Fields, with Applications to Combinatorics
Format
Trade Paperback
Language
English
Author
Kannan Soundararajan
Number of Pages
170 Pages

Additional Product Features

Series Volume Number
99
Table of Content
Primes and factorization; Primes in the integers; Congruences in rings; Primes in polynomial rings: Constructing finite fields; The additive and multiplicative structures of finite fields; Understanding the structures of $\mathbb{Z}/n\mathbb{Z}$; Combinatorial applications of finite fields; The AKS primality test; Synopsis of finite fields; Bibliography; Index.
Lccn
2022-037518
Series
Student Mathematical Library

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