Steven T. Dougherty's Books

Combinatorics and Finite Geometry

By: Steven T. Dougherty

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Combinatorics and Finite Geometry

By: Steven T. Dougherty

This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.

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Page Count

374

Publisher

Springer Nature

Published Date

ISBN 10

3030563952

ISBN 13

9783030563950

Algebraic Coding Theory Over Finite Commutative Rings

By: Steven T. Dougherty

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Algebraic Coding Theory Over Finite Commutative Rings

By: Steven T. Dougherty

This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, it has grown as a branch of mathematics, and has since been expanded to consider any finite field, and later also Frobenius rings, as its alphabet. This book presents a broad view of the subject as a branch of pure mathematics and relates major results to other fields, including combinatorics, number theory and ring theory. Suitable for graduate students, the book will be of interest to anyone working in the field of coding theory, as well as algebraists and number theorists looking to apply coding theory to their own work.

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Page Count

109

Publisher

Springer

Published Date

ISBN 10

3319598066

ISBN 13

9783319598062

Algebraic Coding Theory Over Finite Commutative Rings

By: Steven T. Dougherty

Write a review Read reviews Take a Quiz Solve Book Puzzle

Algebraic Coding Theory Over Finite Commutative Rings

By: Steven T. Dougherty

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

109

Publisher

Springer

Published Date

ISBN 10

3319598066

ISBN 13

9783319598062

Book's by Steven T. Dougherty

Combinatorics and Finite Geometry

Combinatorics and Finite Geometry

Algebraic Coding Theory Over Finite Commutative Rings

Algebraic Coding Theory Over Finite Commutative Rings

Algebraic Coding Theory Over Finite Commutative Rings

Algebraic Coding Theory Over Finite Commutative Rings

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