The Foundations of Geometry
by David Hilbert
Publisher: Project Gutenberg 1902
ISBN/ASIN: 1603860088
Number of pages: 101
Description:
Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899; The Foundations of Geometry). In this and related systems, however, logical connectives and their properties are taken for granted and remain implicit.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Isometrica: A Geometrical Introduction to Planar Crystallographic Groupsby George Baloglou
Planar crystallographic groups are one of the very first mathematical creations of humankind. This book's goal is the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic.
(16931 views)
Practical Plane and Solid Geometry for Advanced Studentsby J. Harrison, G.A. Baxandall - Macmillan
This book is written for Science students. The necessity of accurate draughtsmanship is insisted on throughout. We describe how the drawing instruments may be set and maintained. And the numerical answers are appended to many of the examples.
(10513 views)
Theory of Symmetry and Ornamentby Slavik V. Jablan - Matematicki Institut
This work is a comparative analysis of the theory of discrete and visually presentable continuous symmetry groups in the plane E2 or in E2\{O}: Symmetry Groups of Rosettes, Friezes and Ornaments, Similarity Symmetry Groups in E2, etc.
(14921 views)
A Tour of Triangle Geometryby Paul Yiu - Florida Atlantic University
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.
(11314 views)