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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Auteurs principaux : Šafarevič Igorʹ Rosticlavovič (Auteur), Remizov Alexey O. (Auteur)
Autres auteurs : Kramer David (Traducteur), Nekludova Lena (Traducteur)
Format : Livre
Langue : anglais
Titre complet : Linear algebra and geometry / Igor R. Shafarevich, Alexey O. Remizov; translated by David Kramer and Lena Nekludova
Publié : Berlin, Heidelberg : Springer , cop.2013
Description matérielle : 1 vol. (XXI-526 p.)
Traduction de : Linejnaya algebra i geometriya
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Documents associés : Autre format: Linear algebra and geometry
  • 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