Overview

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.

Full Product Details

Author:   Igor R. Shafarevich ,  Alexey O. Remizov ,  David P Kramer ,  Lena Nekludova
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.980kg
ISBN:  

9783642309939

ISBN 10:   3642309933
Pages:   526
Publication Date:   24 August 2012
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Reviews

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 in general. ... The book is quite readable ... . Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers/faculty, and professionals. (J. R. Burke, Choice, Vol. 50 (8), April, 2013)

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 in general. ... The book is quite readable ... . Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers/faculty, and professionals. (J. R. Burke, Choice, Vol. 50 (8), April, 2013) This beautiful textbook not only reflects I. R. Shafarevich's unrivalled mastery of mathematical teaching and expository writing, but also the didactic principles of the Russian mathematical school in teaching basic courses such as linear algebra and analytic geometry. ... made accessible to a wide audience of international readers, and to further generations of students, too. ... this book may be regarded as a historical document in the relevant textbook literature ... . (Werner Kleinert, Zentralblatt MATH, Vol. 1256, 2013)

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 in general. ... The book is quite readable ... . Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers/faculty, and professionals. (J. R. Burke, Choice, Vol. 50 (8), April, 2013) This beautiful textbook not only reflects I. R. Shafarevich's unrivalled mastery of mathematical teaching and expository writing, but also the didactic principles of the Russian mathematical school in teaching basic courses such as linear algebra and analytic geometry. ... made accessible to a wide audience of international readers, and to further generations of students, too. ... this book may be regarded as a historical document in the relevant textbook literature ... . (Werner Kleinert, Zentralblatt MATH, Vol. 1256, 2013)

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