Treatise Of Plane Geometry Through Geometric Algebra 1st Edition by Ramon Gonzalez Calvet ISBN 8461191498 9788461191499

Treatise Of Plane Geometry Through Geometric Algebra 1st Edition by Ramon González Calvet – Ebook PDF Instant Download/Delivery: 8461191498, 9788461191499

Full download Treatise Of Plane Geometry Through Geometric Algebra 1st Edition after payment

Product details:

ISBN 10: 8461191498

ISBN 13: 9788461191499

Author: Ramon González Calvet

“Treatise of Plane Geometry Through Geometric Algebra” by Ramon González Calvet is a comprehensive textbook that introduces plane geometry using the framework of geometric algebra, specifically the Clifford-Grassmann algebra. This approach provides a unified and algebraic perspective on geometric concepts, facilitating a deeper understanding of geometric relationships and transformations.

Table of contents:

First Part: The Vector Plane and the Complex Numbers

1. The Vectors and Their Operations
2. A Base of Vectors for the Plane
3. The Complex Numbers
4. Transformations of Vectors

Second Part: The Geometry of the Euclidean Plane
5. Points and Straight Lines
6. Angles and Elemental Trigonometry
7. Similarities and Single Ratio
8. Properties of the Triangles
9. Circles
10. Cross Ratios and Related Transformations
11. Conics

Third Part: Pseudo-Euclidean Geometry
12. Matrix Representation and Hyperbolic Numbers
13. The Hyperbolic or Pseudo-Euclidean Plane

Fourth Part: Plane Projections of Tridimensional Spaces
14. Spherical Geometry in the Euclidean Space
15. Hyperboloidal Geometry in the Pseudo-Euclidean Space (Lobachevsky’s Geometry)
16. Solutions of the Proposed Exercises

People also search for:

treatise of plane geometry through geometric algebra
    
history of plane geometry
    
importance of plane geometry
    
what is the meaning of plane geometry
    
what are planes in geometry

Tags: Ramon Gonzalez Calvet, Treatise, Plane, Geometry, Geometric, Algebra