Roads to Geometry, Third Edition 3rd

Roads to Geometry, Third Edition 3rd – Digital Instant Dowload.

Product details:

• ISBN-10 ‏ : ‎ 1478631635
• ISBN-13 ‏ : ‎ 978-1478631637
• Author: Edward C. Wallace (Author), Stephen F. West (Author)

Now available from Waveland Press, the Third Edition of Roads to Geometry is appropriate for several kinds of students. Pre-service teachers of geometry are provided with a thorough yet accessible treatment of plane geometry in a historical context. Mathematics majors will find its axiomatic development sufficiently rigorous to provide a foundation for further study in the areas of Euclidean and non-Euclidean geometry. By using the SMSG postulate set as a basis for the development of plane geometry, the authors avoid the pitfalls of many “foundations of geometry” texts that encumber the reader with such a detailed development of preliminary results that many other substantive and elegant results are inaccessible in a one-semester course. At the end of each section is an ample collection of exercises of varying difficulty that provides problems that both extend and clarify results of that section, as well as problems that apply those results.

Table contents:

Chapter 1: Rules of the Road: Axiomatic Systems

Chapter 2: Many Ways to Go: Axiom Sets for Geometry

Chapter 3: Traveling Together: Neutral Geometry

Chapter 4: One Way to Go: Euclidean Geometry of the Plane

Chapter 5: Side Trips: Analytical and Transformational Geometry

Chapter 6: Other Ways to Go: Non-Euclidean Geometries

Chapter 7: All Roads Lead to …: Projective Geometry