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Linear algebra and geometry

Author: Igorʹ Rostislavovich Shafarevich; Alexey O Remizov
Publisher: Berlin ; London : Springer, 2012.
Edition/Format:   Print book : Document   Computer File : 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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Additional Physical Format: Linear algebra and geometry
(NL-LeOCL)35212699X
(OCoLC)822830990
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Igorʹ Rostislavovich Shafarevich; Alexey O Remizov
ISBN: 9783642309946 3642309941 9783642309939 3642309933
OCLC Number: 815927688
Notes: Translated from the Russian.
Description: 1 online resource (1 v. :) ill.
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: by Igor R. Shafarevich, Alexey O. Remizov ; translated by David P. Kramer, Lena Nekludova.
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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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