Roads to Geometry

Roads to Geometry

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Description

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 Education (US)
  • Pearson
  • Upper Saddle River, NJ, United States
  • English
  • 3rd edition
  • 0130413968
  • 9780130413963
  • 2,013,480

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

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