The Elements Of Non-Euclidean Geometry by Julian Coolidge
The Elements Of Non-Euclidean Geometry - Table of Contents
- 1. Foundations of Metrical Geometry in a Limited Region
- 2. Principles of Congruent Transformations
- 3. The Three Hypotheses of Non-Euclidean Geometry
- 4. Introduction of Trigonometric Formulae
- 5. Fundamentals of Analytic Formulae
- 6. Consistency and Significance of the Axioms
- 7. Geometric and Analytic Extension of Space
- 8. Groups of Congruent Transformations
- 9. Points, Lines, and Planes Treated Analytically
- 10. Foundations of Higher Line Geometry
- 11. Geometry of The Circle and the Sphere
- 12. Theory of Conic Sections
- 13. Analysis of Quadric Surfaces
- 14. Calculations of Areas and Volumes
- 15. Introduction to Differential Geometry
- 16. Fundamentals of Differential Line Geometry
- 17. Topology of Multiply Connected Spaces
- 18. The Projective Basis of Non-Euclidean Geometry
- 19. The Differential Basis for Euclidean and Non-Euclidean Geometry
What You Will Learn in The Elements Of Non-Euclidean Geometry
The Elements of Non-Euclidean Geometry by Julian Lowell Coolidge provides an in-depth and systematic treatment of non-Euclidean axiomatic geometry. Accessing this the elements of non euclidean geometry julian coolidge pdf allows graduate students, educators, and researchers to study Lobachevskian geometry, Riemannian spherical models, differential line elements, and area calculations.
Authored with exceptional technical precision, this renowned the elements of non euclidean geometry julian coolidge book bridges classical Euclidean synthetic axioms with modern analytical and projective transformation theory, examining horocycles, equidistant curves, and multi-dimensional spaces.
Available as an educational reference via the elements of non euclidean geometry julian coolidge pdf download, this classic volume remains an indispensable primer for anyone studying differential geometry, spatial topology, and theoretical physics.
Book Details & Specifications
Title:
The Elements Of Non-Euclidean Geometry by Julian Coolidge
Publisher:
Palala Press
Year:
2008
Pages:
322
Type:
PDF
Language:
English
ISBN-10 #:
1436561086
ISBN-13 #:
978-1436561082
License:
External Educational Resource
Amazon:
Amazon
About the Author: Julian Lowell Coolidge
The author Julian Lowell Coolidge
(1873–1954) was Professor of Mathematics and Chairman of the Mathematics Department at Harvard University, internationally celebrated for his major contributions to algebraic geometry, probability, and non-Euclidean spatial theory.
A distinguished leader in American mathematics, his foundational text The Elements of Non-Euclidean Geometry by Julian Lowell Coolidge endures as a seminal masterwork in modern geometric literature.
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