Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems by John William Withers
Nature & Validity of Euclid's Parallel Postulate - Table of Contents
- 1. The Pre-Lobatchewskian Struggle With The Parallel Postulate
- 2. The Discovery and Development of Non-Euclidean Systems
- 3. General Orientation of The Problem
- 4. Psychology of The Parallel Postulate and Its Kindred Conceptions
- 5. The Nature and Validity of The Parallel Postulate
- 6. Resulting Implications as to The Nature of Space
What You Will Learn in Nature & Validity of Euclid's Parallel Postulate
Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems by John William Withers offers a philosophical and mathematical analysis of classical axiomatic geometry. Accessing this euclid's parallel postulate its nature validity and place in geometrical systems pdf allows students, educators, and historians of mathematics to explore the historical debates surrounding parallel lines, non-Euclidean alternatives, and logical independence.
Written with great conceptual clarity, this historic euclid's parallel postulate its nature validity and place in geometrical systems book examines the contributions of Saccheri, Lobachevsky, Bolyai, and Riemann while assessing the psychological and empirical foundations of geometrical axioms.
Available as an essential academic reference via euclid's parallel postulate its nature validity and place in geometrical systems pdf download, this foundational text serves as a valuable resource for studies in mathematical logic, geometry, and the philosophy of science.
Book Details & Specifications
Title:
Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems by John William Withers
Publisher:
Open Court Publishing Co
Year:
1904
Pages:
210
Type:
PDF
Language:
English
ISBN-10 #:
B002KW3SZU
ISBN-13 #:
N\A
License:
Public Domain Work
Amazon:
Amazon
About the Author: John William Withers
The author John William Withers
(1868–1960) was an influential American educator, mathematician, and Dean of the School of Education at New York University, widely recognized for his scholarly contributions to the philosophy of geometry and educational administration.
His seminal dissertation, Euclid's Parallel Postulate: Its Nature, Validity and Place in Geometrical Systems by John William Withers, remains an important historical study on the foundations and axioms of geometry.
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