Combinatorics and Finite Geometry

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  • Combinatorics and Finite Geometry Book Detail

  • Author : Steven T. Dougherty
  • Release Date : 2020-10-30
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 374
  • ISBN 13 : 3030563952
  • File Size : 66,66 MB

Combinatorics and Finite Geometry by Steven T. Dougherty PDF Summary

Book Description: 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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Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt of Main, he pursued his graduate studies at Brown