Description
Book SynopsisTrade ReviewThis is one among the beautiful books on the subject of difference sets that I came across in the field of mathematics and especially in combinatorics because of its lucid style and simplicity...The present book overviews these subjects if not exhaustively but impressively with required theorems sometimes with full proofs and sometimes with comprehensive explanations and required examples. By the study of this book, one gains an opportunity to further explore the subject with confidence in different angles enriching one's vision for further research with the orientation of applications in the real-life situations as the authors mention such lines as well...This book lays a good foundation for the study of difference sets together with the subjects related to it and prepares the students for further extensive research." - Ratnakaram Nava Mohan,
Zentralblatt MATH"It is a welcome addition to all undergraduate libraries." -
CHOICE"This book would seem tailor-made as a text for a senior seminar or capstone course. It is clearly written, emphasizes motivation, contains lots of examples, has a good bibliography and contains a respectable number of exercises at the end of each chapter. ... Reading this book taught me some nice mathematics that I didn't know before, and it did so in an interesting, enjoyable way." -
MAA ReviewsTable of ContentsTable of Contents:
- Introduction
- Designs
- Automorphisms of designs
- Introducing difference sets
- Bruck-Ryser-Chowla theorem
- Multipliers
- Necessary group conditions
- Difference sets from geometry
- Families from Hadamard matrices
- Representation theory
- Group characters
- Using algebraic number theory
- Applications
- Background
- Notation
- Hints and solutions to selected exercises
- Bibliography
- Index
- Index of parameters
