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Linear Algebra and Geometry

Author: Igorʹ Rostislavovič Šafarevič
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Series: SpringerLink : Bücher
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

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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Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Igorʹ Rostislavovič Šafarevič
ISBN: 9783642309946 3642309941 9783642309939 3642309933
OCLC Number: 812052490
Notes: Mathematics and Statistics (Springer-11649).
Description: Online-Ressource.
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
Series Title: SpringerLink : Bücher
Responsibility: by Igor R. Shafarevich, Alexey O. Remizov.
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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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