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Foundations of Geometry Paperback Gerard Venema

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Item specifics

Condition
Acceptable: A book with obvious wear. May have some damage to the cover but integrity still intact. ...
Book Title
Foundations of Geometry Paperback Gerard Venema
Subject
Geometry / General
ISBN
9780131437005
Subject Area
Mathematics
Publication Name
Foundations of Geometry
Publisher
Prentice Hall PTR
Item Length
7.1 in
Publication Year
2005
Type
Textbook
Format
Trade Paperback
Language
English
Item Height
0.7 in
Author
Gerard Venema
Item Weight
22.4 Oz
Item Width
9.2 in
Number of Pages
448 Pages

About this product

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0131437003
ISBN-13
9780131437005
eBay Product ID (ePID)
31003325

Product Key Features

Number of Pages
448 Pages
Publication Name
Foundations of Geometry
Language
English
Publication Year
2005
Subject
Geometry / General
Type
Textbook
Author
Gerard Venema
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Height
0.7 in
Item Weight
22.4 Oz
Item Length
7.1 in
Item Width
9.2 in

Additional Product Features

Intended Audience
College Audience
LCCN
2005-281226
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
516
Table Of Content
(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. 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.
Synopsis
This text comfortably serves as a bridge between lower-level mathematics courses (calculus and linear algebra) and upper-level courses (real analysis and abstract algebra). It fully implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers. Foundations of Geometry particularly teaches good proof-writing skills, emphasises the historical development of geometry, and addresses certain issues concerning the place of geometry in human culture., For sophomore/junior-level courses in Geometry; especially appropriate for students that will go on to teach high-school mathematics. This text comfortably serves as a bridge between lower-level mathematics courses (calculus and linear algebra) and upper-level courses (real analysis and abstract algebra). It fully implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers. Foundations of Geometry particularly teaches good proof-writing skills, emphasizes the historical development of geometry, and addresses certain issues concerning the place of geometry in human culture.
LC Classification Number
QA445.V455 2006

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