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Linear algebra and geometry

Author: Igor Rostilavovich Shafarevich; Alexey O Remizov; David Kramer; Lena Nekludova
Publisher: Berlin ; Heidelberg : Springer, cop.2013.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Additional Physical Format: Linear Algebra and Geometry [Ressource électronique] / by Igor R. Shafarevich, Alexey O. Remizov
Berlin, Heidelberg : Springer Berlin Heidelberg, 2013
978-3-642-30994-6
(ABES)168318199
Document Type: Book
All Authors / Contributors: Igor Rostilavovich Shafarevich; Alexey O Remizov; David Kramer; Lena Nekludova
ISBN: 9783642309939 3642309933
OCLC Number: 864113389
Notes: Réunit des cours donnés à la Faculté de mécanique et mathématiques de l'Université de Moscou, entre les années 1950 et 1970.
Traduit du russe : "Linejnaya algebra i geometriya", Moscou : Fizmatlit , 2009.
Description: 1 vol. (XXI-526 p.) : ill. ; 24 cm.
Contents: 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
Responsibility: Igor R. Shafarevich, Alexey O. Remizov ; translated by David Kramer and Lena Nekludova.
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Opening with the theory of linear algebraic equations and basic elements of matrix theory, this book includes topics not usually covered: exterior algebras, non-Euclidean geometry, theory of quadrics  Read more...

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From the reviews: "Shafarevich (Russian Academy of Sciences) and Remizov (Ecole Polytechnique, CNRS, France) provide insightful comments that apply not only to linear algebra but also to mathematics Read more...

 
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