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Linear Algebra a Beginning Graduate Student Ought to Know

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ISBN-10: 1402054947

ISBN-13: 9781402054945

Edition: 2nd 2007 (Revised)

Authors: Jonathan S. Golan

List price: $109.00
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Description:

Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of theoretical results as well as a large body of computational techniques. Unfortunately, in recent years the content of the linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the…    
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Book details

List price: $109.00
Edition: 2nd
Copyright year: 2007
Publisher: Springer
Binding: Hardcover
Pages: 436
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 1.694
Language: English

Notation and terminology
Fields
Vector spaces over a field
Algebras over a field
Linear Dependence and Dimension
Linear Transformations
The endomorphism algebra of a vector space
Representation of linear transformations by matrices
The algebra of square matrices
Systems of linear equations
Determinants
Eigenvalues and eigenvectors
Krylov subspaces
The dual space
Inner product spaces
Orthogonality
Selfadjoint endomorphisms
Unitary and normal endomorphisms
Moore-Penrose pseudoinverses
Bilinear transformations and forms