Finite Euclidean and Non-Euclidean Geometries
by Rene De Vogelaere
Publisher: arXiv 2019
Number of pages: 778
Description:
The purpose of this book is to give an exposition of geometry, from a point of view which complements Klein's Erlangen program. The emphasis is on extending the classical Euclidean geometry to the finite case, but it goes beyond that.
Download or read it online for free here:
Download link
(9.2MB, PDF)
Similar books
Categorical Geometryby Zhaohua Luo
This is a book on the general theory of analytic categories. From the table of contents: Introduction; Analytic Categories; Analytic Topologies; Analytic Geometries; Coherent Analytic Categories; Coherent Analytic Geometries; and more.
(14456 views)
The Fourth Dimensionby Charles Howard Hinton - S. Sonnenschein & Co.
C. H. Hinton discusses the subject of the higher dimensionality of space, his aim being to avoid mathematical subtleties and technicalities, and thus enable his argument to be followed by readers who are not sufficiently conversant with mathematics.
(5594 views)
Tilings and Patternsby 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.
(11876 views)
Geometric Theorems and Arithmetic Functionsby Jozsef Sandor - American Research Press
Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.
(18457 views)