Linear Algebra

In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean...

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Bibliographic Details
Main Author: Smith, Larry
Format: eBook
Language:English
Published: New York, NY Springer New York 1984, 1984
Edition:2nd ed. 1984
Series:Undergraduate Texts in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Linear Algebra  |h Elektronische Ressource  |c by Larry Smith 
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300 |a VIII, 364 p  |b online resource 
505 0 |a 1 Vectors in the plane and space -- 2 Vector spaces -- 3 Subspaces -- 4 Examples of vector spaces -- 5 Linear independence and dependence -- 6 Bases and finite-dimensional vector spaces -- 7 The elements of vector spaces: a summing up -- 8 Linear transformations -- 9 Linear transformations: some numerical examples -- 10 Matrices and linear transformations -- 11 Matrices -- 12 Representing linear transformations by matrices -- 12bis More on representing linear transformations by matrices -- 13 Systems of linear equations -- 14 The elements of eigenvalue and eigenvector theory -- 14bis Multilinear algebra: determinants -- 15 Inner product spaces -- 16 The spectral theorem and quadratic forms -- 17 Jordan canonical form -- 18 Applications to linear differential equations -- List of notations 
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653 |a Algebras, Linear 
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520 |a In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean introduction to linear algebra with particular emphasis on topics that are used in the theory of differential equations