Last modified: Mon 30 November 15:08:59 IST 2020

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MIC > Academic Departments > Mathematics and Computer Studies > Bernd Kreussler > MH4757

MH4757 — Euclidean and Non-Euclidean Geometry

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Contact Information

Name Dr. Bernd Kreussler
Office N29
Internal Telephone 4578
Email bernd.kreussler@mic.ul.ie
WWW www.maths.mic.ul.ie/kreussler/

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Plan of the lecture 2020/21

  1. Triangles, Circles and all that
    • Revision of the Basics
    • More on Circles
    • Euclid's Postulates
  2. Coordinates and Vectors
    • Revision of the Basics
    • Vectors and Points
    • The Standard Euclidean Model
  3. Plane and Spherical Trigonometry
    • Revision of the Basics
    • Spherical Trigonometry
  4. Non-Euclidean Geometry
    • The Poincaré Disc Model

Textbooks

  • OSTERMANN, A., WANNER, G., Geometry by Its History, (Springer) 2012.
  • COXETER, H.S.M., Introduction to Geometry, (John Wiley & Sons) 1961.
  • BYER, O., LAZEBNIK, F., SMELTZER, D., Methods for Euclidean Geometry, (MAA) 2010.
  • STILLWELL, J. The Four Pillars of Geometry, (Springer) 2005.
  • BARKER, W., HOWE, R., Continuous Symmetry, From Euclid to Klein, (AMS) 2007.
  • LANG, S., MURROW, G., Geometry, A High School Course, (Springer) 1983.
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