ABSTRACT

Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed.

Features:

  • Second edition of a successful textbook for the first undergraduate course
  • Every major concept is introduced in its historical context and connects the idea with real life
  • Focuses on experimentation
  • Projects help enhance student learning
  • All major software programs can be used; free software from author
  • chapter 1|48 pages

    Geometry and the Axiomatic Method

    chapter 2|68 pages

    Euclidean Geometry

    chapter 3|34 pages

    Analytic Geometry

    chapter 4|34 pages

    Constructions

    chapter 5|54 pages

    Transformational Geometry

    chapter 6|32 pages

    Symmetry

    chapter 7|46 pages

    Hyperbolic Geometry

    chapter 8|42 pages

    Elliptic Geometry

    chapter 9|86 pages

    Projective Geometry

    chapter 10|50 pages

    Fractal Geometry