| eBook ISBN: | 978-1-4704-1620-1 |
| Product Code: | MMONO/123.S.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| eBook ISBN: | 978-1-4704-1620-1 |
| Product Code: | MMONO/123.S.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 123; 1993; 317 ppMSC: Primary 01
This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.
ReadershipGraduate students, mathematicians, and historians.
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Table of Contents
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Chapters
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Chapter 1. The life and the work of E. Cartan
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Chapter 2. Lie groups and algebras
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Chapter 3. Projective spaces and projective metrics
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Chapter 4. Lie pseudogroups and Pfaffian equations
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Chapter 5. The method of moving frames and differential geometry
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Chapter 6. Riemannian manifolds. Symmetric spaces
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Chapter 7. Generalized spaces
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Conclusion
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Dates of Cartan’s life and activities
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List of publications of Elie Cartan
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Reviews
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Provide[s] a broad and clear overview of the mathematics leading to, and growing out of, the work of Cartan. For anyone wishing to understand something of Cartan's mathematics and its historical context, this book will provide a good starting point and a continuing helpful reference work ... the authors have performed an invaluable service for anyone interested in what Cartan achieved and how it relates to subsequent developments.
Historia Mathematica
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.
Graduate students, mathematicians, and historians.
-
Chapters
-
Chapter 1. The life and the work of E. Cartan
-
Chapter 2. Lie groups and algebras
-
Chapter 3. Projective spaces and projective metrics
-
Chapter 4. Lie pseudogroups and Pfaffian equations
-
Chapter 5. The method of moving frames and differential geometry
-
Chapter 6. Riemannian manifolds. Symmetric spaces
-
Chapter 7. Generalized spaces
-
Conclusion
-
Dates of Cartan’s life and activities
-
List of publications of Elie Cartan
-
Provide[s] a broad and clear overview of the mathematics leading to, and growing out of, the work of Cartan. For anyone wishing to understand something of Cartan's mathematics and its historical context, this book will provide a good starting point and a continuing helpful reference work ... the authors have performed an invaluable service for anyone interested in what Cartan achieved and how it relates to subsequent developments.
Historia Mathematica
