Higher Geometry: Advanced Methods in Analytic Geometry by Frederick S. Woods
Higher Geometry: Advanced Methods in Analytic Geometry - Table of Contents
- PART I: GENERAL CONCEPTS AND ONE-DIMENSIONAL GEOMETRY
- 1. General Concepts of Higher Geometry
- 2. Ranges and Pencils of Rays
- 3. Principle of Projectivity
- PART II: TWO-DIMENSIONAL GEOMETRY
- 4. Point and Line Coordinates in a Plane
- 5. Curves of Second Order and Second Class
- 6. Linear Transformations in the Plane
- 7. Projective Measurement and Metrics
- 8. Contact Transformations in the Plane
- 9. Tetracyclical Coordinates
- 10. A Special System of Coordinates
- 11. Principles of Circle Coordinates
- PART III: THREE-DIMENSIONAL AND HIGHER GEOMETRY
- 12. Point and Plane Coordinates in Space
- 13. Surfaces of Second Order and Second Class
- 14. Space Transformations
- 15. The Sphere in Cartesian Coordinates
- 16. Pentaspherical Coordinates
- 17. Line Coordinates in Three-Dimensional Space
- 18. Sphere Coordinates and Inversion
- 19. Four-Dimensional Point Coordinates
- 20. Geometry of N Dimensions
What You Will Learn in Higher Geometry: Advanced Methods in Analytic Geometry
Higher Geometry: Advanced Methods in Analytic Geometry by Frederick S. Woods bridges elementary coordinate geometry and modern algebraic geometry. Accessing this higher geometry frederick woods pdf allows students and researchers to master cross ratios, collineations, dual spaces, and non-Euclidean geometric structures.
Written by one of MIT's most influential mathematics professors, this timeless higher geometry advanced methods in analytic geometry book details $n$-dimensional spaces, line coordinates, hyperplanes, and algebraic curves with exceptional logical rigor.
Available as a free public-domain reference via higher geometry advanced methods in analytic geometry pdf download, this standard textbook remains essential reading for scholars of pure geometry and mathematical transformations.
Book Details & Specifications
Title:
Higher Geometry: Advanced Methods in Analytic Geometry by Frederick S. Woods
Publisher:
Ginn & Co.
Year:
1922
Pages:
446
Type:
PDF
Language:
English
ISBN-10 #:
0486441504
ISBN-13 #:
978-0486441504
License:
Public Domain Work
Amazon:
Amazon
About the Author: Frederick S. Woods
The author Frederick S. Woods
was Professor of Mathematics at the Massachusetts Institute of Technology (MIT), widely recognized for his authoritative textbooks in calculus, advanced geometry, and mathematical analysis that shaped higher education for decades.
With his profound pedagogy and commitment to clear rigorous exposition, his landmark textbook Higher Geometry: Advanced Methods in Analytic Geometry by Frederick S. Woods remains an enduring masterpiece in advanced geometric literature.
Read or Downloadable Higher Geometry: Advanced Methods in Analytic Geometry
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