Fundamentals of Geometry
by Oleg A. Belyaev
Publisher: Moscow State University 2007
Number of pages: 256
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.
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by 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.
by John C. Polking - Rice University
We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere there are no straight lines. Therefore it is natural to use great circles as replacements for lines.
by J. E. Goodman, J. Pach, E. Welzl - Cambridge University Press
This volume includes articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension.
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.