Combinatorics and Finite Geometry

Steven T. Dougherty

ISBN 10: 3030563944 / ISBN 13: 9783030563943

Editore: Springer Nature Switzerland AG, CH, 2020

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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.

Codice articolo LU-9783030563943

Dati bibliografici

• Titolo: Combinatorics and Finite Geometry
• Editore: Springer Nature Switzerland AG, CH
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 3030563944
• ISBN 13: 9783030563943
• Rilegatura: Paperback
• Edizione: 1st ed. 2020.
• Condizione: New

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.