Foundations of geometry for university students and high-school students
by Ruslan Sharipov
Publisher: arXiv 2007
Number of pages: 221
This book is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning the elementary geometry. It can also be used in mathematics coteries and self-education groups.
Home page url
Download or read it online for free here:
by J.L. Heiberg, R. Fitzpatrick
Euclid's Elements is the most famous mathematical work of classical antiquity, and also has the distinction of being the oldest continuously used mathematical textbook. The main subjects of the work are geometry, proportion, and number theory.
by Charles Smith - The Macmillan Company
In the following work I have investigated the more elementary properties of the Ellipse, Parabola, and Hyperbola, defined with reference to a focus and directrix, before considering the General Equation of the Second Degree...
by Daniel Callahan - starrhorse.com
Euclid's 'Elements' Redux is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time...
by Wong Yan Loi - National University of Singapore
Contents: Pythagoras' theorem; Pythagorean triples; commensurable and incommensurable quantities; Eudoxus' theory of proportion; method of exhaustion; continued fractions; the surface area of a sphere; the method; regular polyhedra; symmetries; etc.