2010

Geometry

Our Cultural Heritage

Authors:

ISBN: 978-3-642-14440-0 (Print) 978-3-642-14441-7 (Online)

Table of contents (21 chapters)

previous Page of 2
  1. Front Matter

    Pages i-xvii

  2. A Cultural Heritage

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-6

      Early Beginnings

    3. No Access

      Book Chapter

      Pages 7-29

      The Great River Civilizations

    4. No Access

      Book Chapter

      Pages 31-73

      Greek and Hellenic Geometry

    5. No Access

      Book Chapter

      Pages 75-172

      Geometry in the Hellenistic Era

    6. No Access

      Book Chapter

      Pages 173-210

      Arabic Mathematics and Geometry

    7. No Access

      Book Chapter

      Pages 211-240

      The Geometry of Yesterday and Today

    8. No Access

      Book Chapter

      Pages 241-249

      Geometry and the Real World

  3. Introduction to Geometry

    1. Front Matter

      Pages 251-251

    2. No Access

      Book Chapter

      Pages 253-263

      Axiomatic Geometry

    3. No Access

      Book Chapter

      Pages 265-282

      Axiomatic Projective Geometry

    4. No Access

      Book Chapter

      Pages 283-298

      Models for Non-Euclidian Geometry

    5. No Access

      Book Chapter

      Pages 299-311

      Making Things Precise

    6. No Access

      Book Chapter

      Pages 313-323

      Projective Space

    7. No Access

      Book Chapter

      Pages 325-350

      Geometry in the Affine and the Projective Plane

    8. No Access

      Book Chapter

      Pages 351-366

      Algebraic Curves of Higher Degrees in the Affine Plane \(\mathbb{R}^2\)

    9. No Access

      Book Chapter

      Pages 367-396

      Higher Geometry in the Projective Plane

    10. No Access

      Book Chapter

      Pages 397-412

      Sharpening the Sword of Algebra

    11. No Access

      Book Chapter

      Pages 413-433

      Constructions with Straightedge and Compass

    12. No Access

      Book Chapter

      Pages 435-439

      Fractal Geometry

    13. No Access

      Book Chapter

      Pages 441-444

      Catastrophe Theory

    14. No Access

      Book Chapter

      Pages 445-481

      General Polyhedra and Tessellations, and Their Groups of Symmetry

previous Page of 2