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Foundations of Geometry
ISBN-10: 0-13-143700-3
ISBN-13: 978-0-13-143700-5
Published by Addison-Wesley
© 2005
Pub. Date: Jan 18, 2005
Format: Paper
Table of Contents
(NOTE: Each chapter concludes with Exercises.)
1. Euclid's Elements.
2. Axiomatic Systems.
3. Theorems, Proofs, and Logic.
4. Set Theory and Real Numbers.
5. The Axioms of Plane Geometry.
6. Neutral Geometry.
7. Euclidean Geometry.
8. Hyperbolic Geometry.
9. Area.
10. Circles.
11. Constructions.
12. Transformations.
13. Models.
14. The Geometry of the Real World.
Appendix A: Euclid's Book I.
Appendix B: Other Systems of Axioms for Geometry.
Appendix C: The Postulates Used in this Book.
Appendix D: The Van Hiele Model of the Development of Geometric Thought.
Appendix E: Hints for Selected Exercises.
Bibliography.
Index.
1. Euclid's Elements.
2. Axiomatic Systems.
3. Theorems, Proofs, and Logic.
4. Set Theory and Real Numbers.
5. The Axioms of Plane Geometry.
6. Neutral Geometry.
7. Euclidean Geometry.
8. Hyperbolic Geometry.
9. Area.
10. Circles.
11. Constructions.
12. Transformations.
13. Models.
14. The Geometry of the Real World.
Appendix A: Euclid's Book I.
Definitions. Postulates. Common Notions. Propositions.
Appendix B: Other Systems of Axioms for Geometry.
Hilbert's Axioms. Birkhoff's Axioms. SMSG Axioms. UCSMP Axioms.
Appendix C: The Postulates Used in this Book.
The Undefined Terms. The Postulates of Neutral Geometry. The Parallel Postulates. The Area Postulates. The Reflection Postulate. Logical Relationships.
Appendix D: The Van Hiele Model of the Development of Geometric Thought.
Appendix E: Hints for Selected Exercises.
Bibliography.
Index.
This textbook is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.
Package ISBN-13: 9780321633033
$100.00 | Add to Cart
This package contains:
- Foundations of Geometry
Gerard A. Venema | ©2005 | Paper; 448 pages - Geometer's Sketchpad (ValuePack Item Only), 5th Edition
Key Curriculum Press | ©2002 | CD-ROM Only
