An Introduction to Geometry
by Wong Yan Loi
Publisher: National University of Singapore 2009
Number of pages: 136
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 of Hyperbolic Geometry; Basic Results of Hyperbolic Geometry.
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by Silvio Levy - Cambridge University Press
This book collects accessible lectures on four geometrically flavored fields of mathematics that have experienced great development in recent years: hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation.
by Anton Petrunin
This book is meant to be rigorous, 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.
by John O'Connor - University of St Andrews
Contents: Foundations; Linear groups; Isometries of Rn; Isometries of the line; Isometries of the plane; Isometries in 3 dimensions; Symmetry groups in the plane; Platonic solids; Finite symmetry groups of R3; Full finite symmetry groups in R3; etc.
by Robert J. Lang
Origami is the art of folding sheets of paper into interesting and beautiful shapes. In this text the author presents a variety of techniques for origami geometric constructions. The field has surprising connections to other branches of mathematics.