Non-Euclidean Plane Geometry and Trigonometry by Horatio Carslaw
Non-Euclidean Plane Geometry and Trigonometry - Table of Contents
- 1. The Parallel Postulate, and the Work of Saccheri, Legendre and Gauss
- 2. The Work of Bolyai, Lobatschewsky, and Riemann, the Founders of the Non-Euclidean Geometries
- 3. The Hyperbolic Plane Geometry
- 4. The Hyperbolic Plane Trigonometry
- 5. Measurements of Length and Area, with the Aid of the Infinitesimal Calculus
- 6. The Elliptic Plane Geometry
- 7. The Elliptic Plane Trigonometry
- 8. The Consistency of the Non-Euclidean Geometries and the Impossibility of Proving the Parallel Postulate
What You Will Learn in Non-Euclidean Plane Geometry and Trigonometry
The Elements Of Non-Euclidean Plane Geometry and Trigonometry by Horatio Carslaw provides a rigorous and clear treatment of non-Euclidean geometric principles. Accessing this the elements of non euclidean plane geometry and trigonometry pdf enables students, educators, and mathematicians to master plane geometry, hyperbolic geometry, boundary curves, and trigonometric formulas.
Written by renowned mathematician H. S. Carslaw, this comprehensive the elements of non euclidean plane geometry and trigonometry book bridges classical Euclidean axioms with modern non-Euclidean theories, covering parallel lines, equidistant curves, and analytic geometry.
Available as an educational reference via the elements of non euclidean plane geometry and trigonometry pdf download, this classic work serves as an essential foundation for geometry, history of mathematics, and theoretical physics.
Book Details & Specifications
Title:
Non-Euclidean Plane Geometry and Trigonometry by Horatio Carslaw
Publisher:
Longmans, Green and Co.
Year:
1916
Pages:
198
Type:
PDF
Language:
English
ISBN-10 #:
0486442225
ISBN-13 #:
978-0486442228
License:
Public Domain Work
Amazon:
Amazon
About the Author: Horatio Scott Carslaw
The author Horatio Scott Carslaw
(1870–1954) was a distinguished Scottish-Australian mathematician and professor at the University of Sydney, widely recognized for his prominent research in Fourier series, heat conduction, and non-Euclidean geometry.
Author of several influential mathematical works, his classic book The Elements Of Non-Euclidean Plane Geometry and Trigonometry by Horatio Carslaw stands as a foundational reference in classical geometric topology and spatial theory.
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