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Foundations of Plane Geometry - Hardcover, by Blau Harvey I. - Good - Picture 1 of 1
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Foundations of Plane Geometry - Hardcover, by Blau Harvey I. - Good

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Item specifics

Condition
Good: A book that has been read, but is in good condition. Minimal damage to the book cover eg. ...
Book Title
Foundations of Plane Geometry
ISBN
9780130479549

About this product

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0130479543
ISBN-13
9780130479549
eBay Product ID (ePID)
2287828

Product Key Features

Number of Pages
298 Pages
Language
English
Publication Name
Foundations of Plane Geometry
Subject
Geometry / General
Publication Year
2002
Type
Textbook
Author
Harvey I. Blau
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
0.8 in
Item Weight
18.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
College Audience
LCCN
2002-030778
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
516.22
Table Of Content
 0. The Question of Parallels.  1. Five Examples.  2. Some Logic.  3. Practice Proofs.  4. Set Terminology and Sets of Real Numbers.  5. An Axiom System for Plane Geometry: First Steps.  6. Betweenness, Segments and Rays.  7. Three Axioms for the Line.  8. The Real Ray Axiom and Its Consequences.  9. Antipodes and Opposite Rays. 10. Separation. 11. Pencils and Angles. 12. The Crossbar Theorem. 13. Side-Angle-Side. 14. Perpendiculars. 15. The Exterior Angle Inequality and Triangle Inequality. 16. Further Results on Triangles. 17. Parallels and the Diameter of the Plane. 18. Angle Sums of Triangles. 19. Parallels and Angle Sums. 20. Concurrence. 21. Circles. 22. Similarity. Appendix I. Definitions and Assumptions from Book I of Euclid's Elements. Appendix II. The Side-Angle-Side Axiom in the Hyperbolic Plane. Bibliography. Index.
Synopsis
For junior/senior-level courses in Geometry. Ideal for students who may have little previous experience with abstraction and proof, this text 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 students' 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.
LC Classification Number
QA455.B66 2002

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