Linear Algebra and Geometry

This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inn...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Shafarevich, Igor R. (Autor), Remizov, Alexey O. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Temas:
Algebras, Linear.
Algebra.
Geometry.
Associative rings.
Associative algebras.
Linear Algebra.
Associative Rings and Algebras.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Preliminaries
  • 1. Linear Equations
  • 2. Matrices and Determinants
  • 3. Vector Spaces
  • 4. Linear Transformations of a Vector Space to Itself
  • 5. Jordan Normal Form
  • 6. Quadratic and Bilinear Forms
  • 7. Euclidean Spaces
  • 8. Affine Spaces
  • 9. Projective Spaces
  • 10. The Exterior Product and Exterior Algebras
  • 11. Quadrics
  • 12. Hyperbolic Geometry
  • 13. Groups, Rings, and Modules
  • 14. Elements of Representation Theory
  • Historical Note
  • References
  • Index.

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