skip to content
Linear algebra and geometry Preview this item
ClosePreview this item
Checking...

Linear algebra and geometry

Author: I R Shafarevich; Alexey O Remizov
Publisher: Berlin ; New York : Springer, ©2013.
Edition/Format:   eBook : Document : 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...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: I R Shafarevich; Alexey O Remizov
ISBN: 9783642309946 3642309941
OCLC Number: 808818333
Description: 1 online resource.
Contents: Linear Equations --
Matrices and Determinants --
Vector Spaces --
Linear Transformations of a Vector Space to Itself --
Jordan Normal Form --
Quadratic and Bilinear Forms --
Euclidean Spaces --
Affine Spaces --
Projective Spaces --
The Exterior Product and Exterior Algebras --
Quadrics --
Hyperbolic Geometry --
Groups, Rings, and Modules --
Elements of Representation Theory.
Other Titles: Linejnaya algebra i geometriya.
Responsibility: Igor R. Shafarevich, Alexey O. Remizov ; translated by David Kramer and Lena Nukludova.
More information:

Abstract:

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...

Reviews

Editorial reviews

Publisher Synopsis

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...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/808818333>
library:oclcnum"808818333"
library:placeOfPublication
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/808818333>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:bookFormatschema:EBook
schema:contributor
schema:copyrightYear"2013"
schema:creator
<http://viaf.org/viaf/104121181>
rdf:typeschema:Person
schema:birthDate"1923"
schema:familyName"Shafarevich"
schema:givenName"I. R."
schema:name"Shafarevich, I. R. (Igorʹ Rostislavovich), 1923-"
schema:datePublished"2013"
schema:description"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."
schema:exampleOfWork<http://worldcat.org/entity/work/id/1177002008>
schema:genre"Electronic books."
schema:inLanguage"en"
schema:name"Linear algebra and geometry"
schema:publisher
schema:url<http://site.ebrary.com/id/10656833>
schema:url
schema:url<http://dx.doi.org/10.1007/978-3-642-30994-6>
schema:workExample

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.