Roads to Geometry

Roads to Geometry

3.66 (3 ratings by Goodreads)
By (author)  , By (author) 

List price: US$141.99

Currently unavailable

Add to wishlist

AbeBooks may have this title (opens in new window).

Try AbeBooks


For one semester undergraduate classes in geometry for math and math-ed students who have taken calculus. This new text clarifies, extends, and unifies concepts discussed in basic high school geometry courses. Gives readers a comprehensive introduction to plane geometry in a historical context. *Historical Approach - investigates different axiomatic approaches to the study of Euclidean-plane geometry. *Analytical and transfunctional approach - gives students a thorough discussion of real numbers, algebra, isometrics, similarities, analytical transformations, inversion, and their applications. *Modular chapters - each chapter is independent and can be covered as a separate unit and gives instructors flexibility in choosing their curriculum. *End of Section Exercises - provides an ample collection of exercises of varying difficulty help students to check their comprehension of each section. *End of Chapter Summaries. Includes all definitions and theorems.
*New Laboratory Activities - included in an appendix, these activities make use of dynamic geometry software allowing students to experience the hands-on explanation of a variety of topics in both the Euclidean and hyperbolic plane. Either Geometers SketchPad(c) or Cabri(c) can be used.
show more

Product details

  • Hardback | 510 pages
  • 152.4 x 226.06 x 33.02mm | 771.1g
  • Pearson
  • Upper Saddle River, NJ, United States
  • English
  • 3rd edition
  • 0130413968
  • 9780130413963
  • 2,172,983

Table of contents

1. Rules of the Road: Axiomatic Systems. 2. Many Ways to Go: Axiom Sets for Geometry. 3. Travelling Together: Neutral Geometry. 4. One Way to Go: Euclidean Geometry of the Plane. 5. Side Trips; Analytic and Transformational Geometry. 6. Other Ways to Go: Non-Euclidean Geometries. 7. All Roads Lead to: Projective Geometry. Appendix A: Euclid's Definitions and Postulates, Book 1. Appendix B: Hilbert's Axioms for Euclidean Plane Geometry. Appendix C: Birkhoff's Postulates for Euclidean Plane Geometry. Appendix D: The SMSG Postulates for Euclidean Geometry. Appendix E: Exploratory Lab Activities to Supplement Exercise Sets in Chapters 4, 5, and 6.
show more

Rating details

3 ratings
3.66 out of 5 stars
5 0% (0)
4 67% (2)
3 33% (1)
2 0% (0)
1 0% (0)
Book ratings by Goodreads
Goodreads is the world's largest site for readers with over 50 million reviews. We're featuring millions of their reader ratings on our book pages to help you find your new favourite book. Close X