Items related to Foundations of Plane Geometry
Synopsis
Ideal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified—yet straightforward and accessible—exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme—the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes—with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular. Focus on one main topic—The axiomatic development of the absolute plane—which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the “gap” plane. Gradually presents axioms for absolute plane geometry.
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From the Back Cover
Ideal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified—yet straightforward and accessible—exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme—the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes—with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular. Focus on one main topic—The axiomatic development of the absolute plane—which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the “gap” plane. Gradually presents axioms for absolute plane geometry.
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Foundations of Plane Geometry
Published by
Prentice Hall (edition ), 2002
ISBN 10: 0130479543
ISBN 13: 9780130479549
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Hardcover
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Hardcover. Condition: Good. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Seller Inventory # 0130479543-11-1
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Foundations of Plane Geometry
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Condition: New. *Price HAS BEEN REDUCED by 10% until Monday, Sept. 8 (SALE item)* First edition, first printing, 298 pp., Hardcover, new. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1306150
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Foundations of Plane Geometry
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Foundations of Plane Geometry
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hardcover. Condition: Good. Good. book. Seller Inventory # ERICA82901304795436
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