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An Introduction to the Finite Projective Plane

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Author: Albert, Abraham Adrian

Brand: Dover

Edition: Reprint

Binding: paperback

Number Of Pages: 112

Release Date: 21-01-2015

Details: Product Description



Geared toward both beginning and advanced undergraduate and graduate students, this self-contained treatment offers an elementary approach to finite projective planes. Following a review of the basics of projective geometry, the text examines finite planes, field planes, and coordinates in an arbitrary plane. Additional topics include central collineations and the little Desargues' property, the fundamental theorem, and examples of finite non-Desarguesian planes.
Virtually no knowledge or sophistication on the part of the student is assumed, and every algebraic system that arises is defined and discussed as necessary. Many exercises appear throughout the book, offering significant tools for understanding the subject as well as developing the mathematical methods needed for its study. References and a helpful appendix on the Bruck-Ryser theorem conclude the text.



From the Back Cover



Geared toward both beginning and advanced undergraduate and graduate students, this self-contained treatment offers an elementary approach to finite projective planes. Following a review of the basics of projective geometry, the text examines finite planes, field planes, and coordinates in an arbitrary plane. Additional topics include central collineations and the little Desargues' property, the fundamental theorem, and examples of finite non-Desarguesian planes.Virtually no knowledge or sophistication on the part of the student is assumed, and every algebraic system that arises is defined and discussed as necessary. Many exercises appear throughout the book, offering significant tools for understanding the subject as well as developing the mathematical methods needed for its study. References and a helpful appendix on the Bruck-Ryser theorem conclude the text.Dover (2015) republication of the edition originally published by Holt, Rinehart and Winston, Inc., 1968.See every Dover book in print atwww.doverpublications.com


About the Author


A prominent American mathematician who worked in several fields, A. Adrian Albert (1905&;72) was on the faculty of the University of Chicago from 1931 to 1972.
Reuben Sandler was Professor of Mathematics at the University of Illinois at Chicago.

EAN: 0800759789948

Package Dimensions: 8.9 x 6.0 x 0.3 inches

Languages: English