| eBook ISBN: | 978-1-61444-004-8 |
| Product Code: | CAR/4.E |
| List Price: | $45.00 |
| MAA Member Price: | $33.75 |
| AMS Member Price: | $33.75 |
| eBook ISBN: | 978-1-61444-004-8 |
| Product Code: | CAR/4.E |
| List Price: | $45.00 |
| MAA Member Price: | $33.75 |
| AMS Member Price: | $33.75 |
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Book DetailsThe Carus Mathematical MonographsVolume: 4; 1930; 185 pp
John Wesley Young co-authored with Oswald Veblen the first monograph on projective geometry in English. That careful and thorough axiomatic treatment remains read today.
This volume is Young's attempt to write an accessible and intuitive treatment for non-specialists. The first five chapters are a careful and elementary treatment of the subject culminating in the theorems of Pascal and Brianchon and the polar system of a conic. Later chapters pull metric consequences from projective results and consider the Kleinian classification of geometries by their groups of transformations. This book, nearly a century after its initial publication, remains a very approachable and understandable treatment of the subject.
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Table of Contents
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Chapters
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Chapter I. Introductory conceptions
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Chapter II. Projective space. The principle of duality
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Chapter III. Desargues’ theorem. Harmonic sets
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Chapter IV. Projectivities in one-dimensional forms. The fundamental theorem
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Chapter V. The Pascal and Brianchon theorems
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Chapter VI. Metric properties
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Chapter VII. Groups of projective transformations
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Chapter VIII. The algebra of points and the introduction of analytic methods
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Chapter IX. Groups and geometries
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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- Additional Material
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John Wesley Young co-authored with Oswald Veblen the first monograph on projective geometry in English. That careful and thorough axiomatic treatment remains read today.
This volume is Young's attempt to write an accessible and intuitive treatment for non-specialists. The first five chapters are a careful and elementary treatment of the subject culminating in the theorems of Pascal and Brianchon and the polar system of a conic. Later chapters pull metric consequences from projective results and consider the Kleinian classification of geometries by their groups of transformations. This book, nearly a century after its initial publication, remains a very approachable and understandable treatment of the subject.
-
Chapters
-
Chapter I. Introductory conceptions
-
Chapter II. Projective space. The principle of duality
-
Chapter III. Desargues’ theorem. Harmonic sets
-
Chapter IV. Projectivities in one-dimensional forms. The fundamental theorem
-
Chapter V. The Pascal and Brianchon theorems
-
Chapter VI. Metric properties
-
Chapter VII. Groups of projective transformations
-
Chapter VIII. The algebra of points and the introduction of analytic methods
-
Chapter IX. Groups and geometries
