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Basic Linear Algebra
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Catalogue Information
Field name
Details
Dewey Class
512
Title
Basic Linear Algebra ([EBook]) / by Thomas S. Blyth, Edmund F. Robertson.
Author
Blyth, Thomas Scott
Added Personal Name
Robertson, Edmund F.
Other name(s)
SpringerLink (Online service)
Publication
London : Springer London , 1998.
Physical Details
XI, 201 pages, 2 illus. : online resource.
Series
Springer undergraduate mathematics series
1615-2085
ISBN
9781447134961
Summary Note
Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.:
Contents note
1. The Algebra of Matrices -- 2. Some Applications of Matrices -- 3. Systems of Linear Equations -- 4. Invertible Matrices -- 5. Vector Spaces -- 6. Linear Mappings -- 7. The Matrix Connection -- 8. Determinants -- 9. Eigenvalues and Eigenvectors -- 10. The Minimum Polynomial -- 11. Solutions to the Exercises.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4471-3496-1
Links to Related Works
Subject References:
Algebra
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Linear and Multilinear Algebras, Matrix Theory
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Mathematics
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Mathematics, general
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Matrix theory
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Authors:
author
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Blyth, Thomas Scott
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Blyth, Thomas Scott.
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Robertson, Edmund F.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer undergraduate mathematics series
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Classification:
512
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512 (DDC 22)
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