Introduction To Finite Geometries
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Introduction to Finite Geometries
This book contains material elaborated during courses held at the Eötvös Loránd University of Budapest since 1948, under the title 'projective geometry' wherein the notation of finite projective planes in connection with the classical projective geometry was mentioned. The share of finite geometries increased over time. The book is somewhat experimental--as the lectures were--thus the presentation of these lectures in the form of an introductory textbook of a didactical character. -- Author's preface.
Combinatorics and Finite Geometry
Author: Steven T. Dougherty
language: en
Publisher: Springer Nature
Release Date: 2020-10-30
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.
Introduction to Finite Geometries
This book contains material elaborated during courses held at the Eötvös Loránd University of Budapest since 1948, under the title 'projective geometry' wherein the notation of finite projective planes in connection with the classical projective geometry was mentioned. The share of finite geometries increased over time. The book is somewhat experimental--as the lectures were--thus the presentation of these lectures in the form of an introductory textbook of a didactical character. -- Author's preface.