MAU23302 - Euclidean and Non-Euclidean Geometry Dr. David R. Wilkins Material associated with the Academic Year 2020/21

Lecture Material covering Part II (Non-Euclidean Geometry) for Hilary Term 2021

Course Notes:—

• MAU23302 Course Notes, Hilary Term 2021, Part II, Section 1 (Möbius Transformations and Cross Ratio)
• MAU23302 Course Notes, Hilary Term 2021, Part II, Section 2 (The Half Plane Model of the Hyperbolic Plane)
• MAU23302 Course Notes, Hilary Term 2021, Part II, Section 3 (The Disk Model of the Hyperbolic Plane)

Matching hyperbolic and flat Euclidean expositions of the Elements of Geometry for the hyperbolic plane and the flat Euclidean plane (following Euclid, Book I, Propositions 1—28)

• The Hyperbolic Elements of Geometry
• The Flat Euclidean Elements of Geometry (Book I, Propositions 1-28), with proofs based on those for the Hyperbolic Plane

Sample Unseen Problems from Hilary Term 2021

• Sample Euclidean Problems (Hilary Term 2021)
• Worked Solutions to Sample Euclidean Problems (Hilary Term 2021)
• Sample non-Euclidean Problems (Hilary Term 2021)
• Worked Solutions to Sample non-Euclidean Problems (Hilary Term 2021)

Material related to Examinations in the Academic Year 2020/21

• Worked Solutions to Questions on the MAU23302 Annual Examination 2020/21

Back to D.R. Wilkins: Lecture Notes

Dr. David R. Wilkins, School of Mathematics, Trinity College Dublin.