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Linear Algebra and Geometry

Librairie Eyrolles - Paris 5e
Disponible en magasin

Linear Algebra and Geometry

Linear Algebra and Geometry

526 pages, parution le 01/09/2012

Résumé

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, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators).

Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.

 

L'auteur Igor R. Shafarevich

Steklov Mathematical Institute, Moscow, Russia

Caractéristiques techniques du livre "Linear Algebra and Geometry"

  PAPIER
Éditeur(s) Springer
Auteur(s) Igor R. Shafarevich, Alexey Remizov
Parution 01/09/2012
Nb. de pages 526
Couverture Broché
Intérieur Noir et Blanc
EAN13 9783642309939

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