Euclidean Geometry

The "Golden" Non-Euclidean Geometry  eBooks & eLearning

Posted by Underaglassmoon at Nov. 11, 2016
The "Golden" Non-Euclidean Geometry

The "Golden" Non-Euclidean Geometry: Hilbert's Fourth Problem, "Golden" Dynamical Systems, and the Fine-Structure Constant
World Scientific | Mathematics | July 4, 2016 | ISBN-10: 9814678295 | 250 pages | pdf | 7.02 mb

by Alexey Stakhov (Author), Samuil Aranson (Author), Scott Olsen (Author)

Euclidean Geometry in Mathematical Olympiads  eBooks & eLearning

Posted by interes at Nov. 11, 2016
Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads (Maa Problem) by Evan Chen
English | 2016 | ISBN: 0883858398 | 311 pages | PDF | 9,2 MB

Exploring Advanced Euclidean Geometry with GeoGebra  eBooks & eLearning

Posted by arundhati at Aug. 28, 2016
Exploring Advanced Euclidean Geometry with GeoGebra

Gerard A. Venema, "Exploring Advanced Euclidean Geometry with GeoGebra"
2013 | ISBN-10: 0883857847 | 186 pages | PDF | 4 MB

Euclidean Geometry and its Subgeometries  

Posted by Underaglassmoon at Jan. 3, 2016
Euclidean Geometry and its Subgeometries

Euclidean Geometry and its Subgeometries
Birkhäuser | Mathematics | January 31, 2016 | ISBN-10: 3319237748 | 451 pages | pdf | 6.1 mb

Authors: Specht, E.J., Jones, H.T., Calkins, K.G., Rhoads, D.H.
Provides a complete and rigorous axiomatic treatment of Euclidean geometry
Proofs for many theorems are worked out in detail
Takes a modern approach by replacing congruence axioms with a transformational definition of congruence
A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry... (repost)

I.M. Yaglom, A. Shenitzer, "A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity (Heidelberg Science Library)"
English | 1979-02-28 | ISBN: 0387903321 | 326 pages | DJVU | 3,3 mb

A History of Non-Euclidean Geometry  

Posted by mapusi at March 18, 2015
A History of Non-Euclidean Geometry

A History of Non-Euclidean Geometry. by Boris A. Rosenfeld
English | Sep 7, 1988 | ISBN: 0387964584 | 471 Pages | DJVU | 4 MB

The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics.
A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry... (repost)

I.M. Yaglom, A. Shenitzer, "A Simple Non-Euclidean Geometry and Its Physical Basis: An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity (Heidelberg Science Library)"
1 edition | English | 1979-02-28 | ISBN: 0387903321 | 326 pages | DJVU | 3,3 mb

Galilean geometry is the study of the x-t plane under the motions that correspond to changes in time origin and change of uniform motion coordinate system. Although we introduce this geometry on physical grounds, we quickly move on to study this geometry in its own right without any physical motivation.
Problem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads

Sotirios E. Louridas, ‎Michael Th. Rassias - Problem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads
Published: 2013-05-17 | ISBN: 1461472725 | PDF | 260 pages | 3 MB
Non Euclidean Geometry & Hidden Worlds – History of Maths and 4 Dimensional

Non Euclidean Geometry & Hidden Worlds – History of Maths and 4 Dimensional
2002 | AVI | 688x512 | XviD, 1230 kbit/s | MP3, 100 kbit/s | 30 min | 300 MB

The look at Non Euclidean Geometry is part of the History of Mathematics and profiles some of the main figures involved including Carl Friedrich Gauss & Wolfgan & Yanosh Bolyai. The programme also examines the different Geometries that they explored. The short about Paul Banchoffs attempts to visualise the unseeable 4th Dimension is intriguing and includes a nice animation of a hypercube (or tesseract).
Problem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads (Repost)

Problem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads By Sotirios E. Louridas, Michael Th. Rassias
2013 | 248 Pages | ISBN: 1461472725 | PDF | 3 MB