Euclidean Plane and Its Relatives
Anton Petrunin
Modern, minimalist introduction to Euclidean and neutral geometry built up from the metric-space approach. Covers inversions, hyperbolic geometry, and the foundations of non-Euclidean ideas with full proofs and exercises.
Loading the book...
Keep reading
-
Next in this topic
Plane and Solid Geometry with Problems and ApplicationsClassic 1911 plane and solid geometry textbook from the University of Chicago that pairs each theorem with worked problems and applications. Covers congruence, similarity, areas, volumes, and the regular solids.
Verified PDF · Secure download - Plane Geometry
Wentworth and Smith's classic plane geometry text, the standard high school book of its era. Builds Euclidean geometry from postulates through congruence, parallels, circles, similar figures, and area in clear sequential steps.
Verified PDF · Secure download - Natural Operations in Differential Geometry
Graduate-level treatise on differential geometry built around natural operations and jet bundles. Aimed at researchers and PhD students with a strong base in manifolds and Lie groups.
Verified PDF · Secure download - Elementary Differential Geometry: Curves and Surfaces
Lecture notes on curves and surfaces from Aalborg University, with computer visualizations linked from the text. Good entry to differential geometry for math students with vector calculus under their belt.
Verified PDF · Secure download - Differential Geometry
M.Sc. Mathematics course material on differential geometry from Alagappa University, organized by units with worked examples on curves, surfaces, and the first and second fundamental forms.
Verified PDF · Secure download