Geometry : the line and the circle / Maureen T. Carroll, Elyn Rykken.

Format:

Book

Author/Creator:

Carroll, Maureen T., 1966- author.

Rykken, Elyn, 1967- author.

Series:

AMS/MAA Textbooks, 2577-1213 ; v. 44

Language:

English

Subjects (All):

Geometry--Textbooks.

Geometry.

Geometry--Study and teaching (Higher).

Physical Description:

1 online resource (xix, 480 pages)

Place of Publication:

Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society, [2018]

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. The line and the circle Chapter 2. Euclid's Elements: Definitions and axioms Chapter 3. Book I of Euclid's Elements: Neutral geometry Chapter 4. Spherical geometry Chapter 5. Taxicab geometry Chapter 6. Hilbert and Gödel Chapter 7. Book I: Non-Neutral geometry Chapter 8. Book II: Geometric algebra Chapter 9. Book VI: Similarity Chapter 10. Book III: Circles Chapter 11. Book IV: Circles and polygons Chapter 12. Models for the hyperbolic plane Chapter 13. Axiomatic hyperbolic geometry Chapter 14. Finite geometries Chapter 15. Isometries Chapter 18. Constructibility Appendix A. Euclid's definitions and axioms Appendix B. Euclid's propositions Appendix C. Visual guide to Euclid's propositions Appendix D. Euclid's proofs Appendix E. Hilbert's axioms for plane Euclidean geometry

Notes:

Designed for an upper-level college geometry course.

Includes bibliographical references and indexes.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2018

Description based on print version record.

Other Format:

Print version: Carroll, Maureen T., 1966- Geometry :

ISBN:

9781470450632 (online)

Access Restriction:

Restricted for use by site license.