**Euclidean Plane and Its Relatives**

by Anton Petrunin

2017**Number of pages**: 201

**Description**:

This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. It covers Euclidean geometry, Inversive geometry, Non-Euclidean geometry and Additional topics.

Download or read it online for free here:

**Download link**

(1.4MB, PDF)

## Similar books

**An Introduction to Geometry**

by

**Wong Yan Loi**-

**National University of Singapore**

Contents: A Brief History of Greek Mathematics; Basic Results in Book I of the Elements; Triangles; Quadrilaterals; Concurrence; Collinearity; Circles; Using Coordinates; Inversive Geometry; Models and Basic Results of Hyperbolic Geometry.

(

**11119**views)

**Projective Geometry**

by

**Nigel Hitchin**

The techniques of projective geometry provide the technical underpinning for perspective drawing and in particular for the modern version of the Renaissance artist, who produces the computer graphics we see every day on the web.

(

**15041**views)

**Tilings and Patterns**

by

**E O Harriss**-

**Mathematicians.org.uk**

Contents: Background Material (Euclidean Space, Delone Sets, Z-modules and lattices); Tilings of the plane (Periodic, Aperiodic, Penrose Tilings, Substitution Rules and Tiling, Matching Rules); Symbolic and Geometric tilings of the line.

(

**9836**views)

**Geometry, Topology and Physics**

by

**Maximilian Kreuzer**-

**Technische Universitat Wien**

From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.

(

**15035**views)