The Pythagorean Theorem: Crown Jewel of Mathematics
by John C. Sparks
Publisher: AuthorHouse 2008
Number of pages: 190
The author chronologically traces the Pythagorean Theorem from a conjectured beginning, through 4000 years of Pythagorean proofs, from all major proof categories, 20 proofs in total. The text presents several mathematical results closely allied to the Pythagorean Theorem along with some major Pythagorean "spin-offs" such as trigonometry. The books contains some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the Pythagorean theorem and suggests paths for further exploration.
Download or read it online for free here:
by 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.
by Ruslan Sharipov - arXiv
This 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. It can also be used in mathematics coteries and self-education groups.
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...