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.
"synopsis" may belong to another edition of this title.
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.
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Foundations of Plane Geometry
Stock Image
Foundations of Plane Geometry
Published by
Prentice Hall (edition ), 2002
ISBN 10: 0130479543
ISBN 13: 9780130479549
Used
Hardcover
Seller: BooksRun, Philadelphia, PA, U.S.A.
Seller rating 5 out of 5 stars
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
Seller Image
Foundations of Plane Geometry
Seller: Bay State Book Company, North Smithfield, RI, U.S.A.
Seller rating 5 out of 5 stars
Condition: very_good. Seller Inventory # BSM.UQ3E
Stock Image
Foundations of Plane Geometry
Seller: St Vincent de Paul of Lane County, Eugene, OR, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. hardcover 100% of proceeds go to charity! Good condition with all pages in tact. Item shows signs of use and may have cosmetic defects. Seller Inventory # M-06-5002
Stock Image
Foundations of Plane Geometry
Published by
Pearson Education, Limited, 2002
ISBN 10: 0130479543
ISBN 13: 9780130479549
Used
Hardcover
Seller: Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Used book that is in clean, average condition without any missing pages. Seller Inventory # 9706737-6
Stock Image
Foundations of Plane Geometry
Seller: Wallace Books, Portland, OR, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Fine. No Jacket. Hardcover book in Fine condition. Title issued by the publisher without a dustjacket. NOT a former library copy. We ship promptly from the United States and in a box. Seller Inventory # 38,394x
Stock Image
Foundations of Plane Geometry
Seller: Mispah books, Redhill, SURRE, United Kingdom
Seller rating 4 out of 5 stars
hardcover. Condition: Good. Good. Dust Jacket NOT present. CD WILL BE MISSING. . SHIPS FROM MULTIPLE LOCATIONS. book. Seller Inventory # ERICA82901304795436
Buy Used
US$ 170.07
Shipping:
US$ 33.02
From United Kingdom to U.S.A.
Quantity: 1 available