- Provides a gentle introduction to combinatorics, finite geometry and related topics
- Covers a broad range of related topics including error-connecting codes, cryptology and combinatorial game theory
- Includes numerous examples and exercises that illustrate the theory
Buy this book
- About this Textbook
-
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.
- About the authors
-
Steven Dougherty is a Professor at the University of Scranton, Pennsylvannia. The author of over 100 papers and 2 books, he has lectured over 60 times in 11 countries and was awarded the 2005 Merten M. Hasse prize.
- Table of contents (14 chapters)
-
-
Foundational Combinatorial Structures
Pages 1-33
-
Foundational Algebraic Structures
Pages 35-73
-
Mutually Orthogonal Latin Squares
Pages 75-96
-
Affine and Projective Planes
Pages 97-115
-
Graphs
Pages 117-139
-
Table of contents (14 chapters)
Buy this book
Services for this Book
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Combinatorics and Finite Geometry
- Authors
-
- Steven Dougherty
- Series Title
- Springer Undergraduate Mathematics Series
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-56395-0
- DOI
- 10.1007/978-3-030-56395-0
- Softcover ISBN
- 978-3-030-56394-3
- Series ISSN
- 1615-2085
- Edition Number
- 1
- Number of Pages
- XV, 369
- Number of Illustrations
- 100 b/w illustrations
- Topics
