Roads to Geometry
Seiten
2003
|
3rd edition
Pearson (Verlag)
978-0-13-041396-3 (ISBN)
Pearson (Verlag)
978-0-13-041396-3 (ISBN)
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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.
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.
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.
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.
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.
| Erscheint lt. Verlag | 21.8.2003 |
|---|---|
| Sprache | englisch |
| Maße | 101 x 277 mm |
| Gewicht | 728 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-13-041396-8 / 0130413968 |
| ISBN-13 | 978-0-13-041396-3 / 9780130413963 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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