Thinking Geometrically
A Survey of Geometries
£45.00
Part of Mathematical Association of America Textbooks
- Author: Thomas Q. Sibley, Saint John's University, Minnesota
- Date Published: December 2015
- availability: Temporarily unavailable - available from TBC
- format: Hardback
- isbn: 9781939512086
£
45.00
Hardback
Looking for an inspection copy?
This title is not currently available on inspection
-
This is a self-contained, comprehensive survey of college geometry that can serve a wide variety of courses for students of both mathematics and mathematics education. The text develops visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Chapter topics include Euclidean geometry, axiomatic systems and models, analytic geometry, transformational geometry, symmetry, non-Euclidean geometry, projective geometry, finite geometry, differential geometry, and discrete geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. Appendices include material from Euclid's first book, as well as Hilbert's axioms, and provide brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters.
Read more- Emphasises the best aspects of geometrical thinking: its beauty, visual insights, convincing proofs, broad connections, and more
- The book's focus on developing reason and intuition will appeal to both students of mathematics and mathematics education
- Historical material and biographies of famous geometers share some of the rich insights that history can provide
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: December 2015
- format: Hardback
- isbn: 9781939512086
- length: 509 pages
- dimensions: 262 x 182 x 35 mm
- weight: 1.13kg
- availability: Temporarily unavailable - available from TBC
Table of Contents
Preface
1. Euclidean geometry
2. Axiomatic systems
3. Analytic geometry
4. Non-Euclidean geometries
5. Transformational geometry
6. Symmetry
7. Projective geometry
8. Finite geometries
9. Differential geometry
10. Discrete geometry
11. Epilogue
Appendix A. Definitions, postulates, common notions, and propositions from Book I of Euclid's Elements
Appendix B. SMSG axioms for Euclidean geometry
Appendix C. Hilbert's axioms for Euclidean plane geometry
Appendix D. Linear algebra summary
Appendix E. Multivariable calculus summary
Appendix F. Elements of proofs
Answers to selected exercises
Acknowledgements
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×