**Fundamentals of Geometry**

by Oleg A. Belyaev

**Publisher**: Moscow State University 2007**Number of pages**: 256

**Description**:

A continually updated free online book devoted to rigorous axiomatic exposition of the basic concepts of geometry. Self-contained comprehensive treatment with detailed proofs should make this book both accessible and useful to a wide audience of geometry lovers - from high school and college students to university teachers and other geometry professionals.

Download or read it online for free here:

**Download link**

(2.7MB, PDF)

## Similar books

**Topics in Finite Geometry: Ovals, Ovoids and Generalized Quadrangles**

by

**S. E. Payne**-

**University of Colorado Denver**

The present book grew out of notes written for a course by the same name taught by the author during in 2005. Only some basic abstract algebra, linear algebra, and mathematical maturity are the prerequisites for reading this book.

(

**10434**views)

**The Radon Transform**

by

**Sigurdur Helgason**-

**Birkhauser Boston**

The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications.

(

**9846**views)

**Categorical Geometry**

by

**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.

(

**9506**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.

(

**13083**views)