The Foundations of Geometry
by David Hilbert
Publisher: Project Gutenberg 1902
Number of pages: 101
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.
Home page url
Download or read it online for free here:
by 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.
by John C. Sparks - AuthorHouse
The book chronologically traces the Pythagorean theorem from the beginning, through 4000 years of Pythagorean proofs. The text presents some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the theorem.
by Richard S. Palais - virtualmathmuseum.org
Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; ODE; and more.
by 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.