This book on linear algebra and geometry is based on a course given by rewned 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 t covered in such courses: exterior algebras, n-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 rmal 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.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg, Springer-Verlag Berlin and Heidelberg Gmbh & Co. K
ISBN-10
3642434096
ISBN-13
9783642434099
eBay Product ID (ePID)
208702201
Product Key Features
Author
Igor R. Shafarevich, Alexey Olegovich Remizov
Format
Paperback
Language
English & Russian
Subject
Mathematics
Dimensions
Weight
831g
Height
235mm
Width
155mm
Additional Product Features
Place of Publication
Berlin
Spine
28mm
Content Note
Biography
Translated by
David P. Kramer,Lena Nekludova
Date of Publication
19/09/2014
Genre
Mathematics
Country of Publication
Germany
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