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Élie Cartan (1869–1951)
 
Elie Cartan (1869--1951)
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
Elie Cartan (1869--1951)
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Élie Cartan (1869–1951)
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
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1231993; 317 pp
    MSC: 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.

    Readership

    Graduate students, mathematicians, and historians.

  • Table of Contents
     
     
    • 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
  • Reviews
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1231993; 317 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.