Synthetic Projective Geometry by Derrick Norman Lehmer
Synthetic Projective Geometry - Table of Contents
- 1. One-to-One Correspondence and perspectivity projective correspondence fundamental forms
- 2. Relations Between Fundamental Forms in One-to-One Correspondence and projective rows pencils cross ratio invariance
- 3. Combination of Two Projectively Related Fundamental Forms and projective generation of curves self conjugate elements
- 4. Point-Rows of the Second Order and conic generation pascal theorem inscribed hexagons
- 5. Pencils of Rays of the Second Order and brianchon theorem circumscribed polygons dual forms
- 6. Poles and Polars and polar relations conjugate points self conjugate triangles
- 7. Metrical Properties of the Conic Sections and axes foci directrices euclidean metrics
- 8. Involution and involution on a line double points conic involutions
- 9. Metrical Properties of Involutions and orthogonal involutions center of involution metric relations
- 10. On the History of Synthetic Projective Geometry and ancient results apollonius pappus desargues pascal history
What You Will Learn in Synthetic Projective Geometry
Its Book Detail is written as
In Synthetic Projective Geometry, distinguished Berkeley mathematician Derrick Norman Lehmer presents an elegant, coordinate-free foundation of non-metrical geometry. Unfolding systematically without relying on algebraic coordinates, this landmark treatise covers the principle of duality, one-dimensional forms, harmonic ranges and pencils, projective rows and pencils, Pascal's and Brianchon's theorems, involution, pole and polar theory, and projectively generated conics.
Written for advanced mathematics students and classical geometers, Lehmer emphasizes geometric deduction, logical elegance, and structural visualization. Readers are guided step-by-step through axiomatic constructions, cross-ratio invariants, complete quadrangles, ruled surfaces, and the projective properties of conics in two and three dimensions.
Widely celebrated for its clear expository style, classical rigor, and rich collection of synthetic exercises, this volume stands as one of the best classical projective geometry textbooks pdf available for self-study. It systematically equips quantitative students with foundational axiomatic tools for mastering synthetic geometry with confidence.
Book Details & Specifications
Title:
Synthetic Projective Geometry by Derrick Norman Lehmer
Publisher:
Project Gutenberg
Year:
1917
Pages:
146
Type:
PDF
Language:
English
ISBN-10 #:
1430495596
ISBN-13 #:
978-1430495598
License:
Public Domain Work
Amazon:
Amazon
About the Author: Derrick Norman Lehmer
The author Derrick Norman Lehmer
(1867–1938) was an eminent American mathematician, number theorist, and Professor of Mathematics at the University of California, Berkeley.
Renowned for his pioneering work on prime factor tables and classical geometry, Lehmer authored influential research papers and textbooks, creating an invaluable resource for students seeking a foundational synthetic projective geometry by derrick norman lehmer pdf for advanced mathematical study.
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