Introduction to Finite Projective Planes (Athena S.) - Hardcover

Albert, A. Adrian; Sandler, Reuben

Hardcover

ISBN 10: 003068675X ISBN 13: 9780030686757

Publisher: Holt,Rinehart & Winston of Canada Ltd, 1968

Synopsis

Following a review of the basics of projective geometry, this text for advanced undergraduate and graduate students proceeds to discuss finite planes, field planes, and coordinates in an arbitrary plane. Additional topics include central collineations and the little Desargues' property, the fundamental theorem, some non-Desarguesian planes, and an appendix on the Bruck-Ryser theorem.

About this title

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.
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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.

Edition details

• Publisher: Holt,Rinehart & Winston of Canada Ltd
• Publication date: 1968
• ISBN 10: 003068675X
• ISBN 13: 9780030686757
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 112