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Foundations of Geometry

Gerard A. Venema
Publisher: 
Pearson/ Prentice Hall
Publication Date: 
2006
Number of Pages: 
432
Format: 
Paperback
Price: 
57.33
ISBN: 
0131437003
Category: 
Textbook
We do not plan to review this book.

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.

Dummy View - NOT TO BE DELETED