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Advanced Linear Algebra

Edition: 
3
Publisher: 
Springer Verlag
Number of Pages: 
522
Price: 
69.95
ISBN: 
9780387728285

See Henry Ricardo's review of the second edition. In addition to many local corrections and improvements, the new edition has a new chapter on associative algebras. Included in that chapter are theorems characterizing finite-dimensional division algebras over R and over a finite field. The bibliography has also been enlarged with over a hundred new items.

 

Date Received: 
Tuesday, October 16, 2007
Reviewable: 
Yes
Include In BLL Rating: 
No
Steven Roman
Series: 
Graduate Texts in Mathematics 135
Publication Date: 
2007
Format: 
Hardcover
Category: 
Textbook
Fernando Q. Gouvêa
10/17/2007

* Vector Spaces * Linear Transformations * The Isomorphism Theorems * Modules I: Basic Properties * Modules II: Free and Noetherian Modules * Modules over a Principal Ideal Domain * The Structure of a Linear Operator * Eigenvalues and Eigenvectors * Real and Complex Inner Product Spaces * Structure Theory for Normal Operators * Metric Vector Spaces: The Theory of Bilinear Forms * Metric Spaces * Hilbert Spaces * Tensor Products * Positive Solutions to Linear Systems: Convexity and Separation * Affine Geometry * Operator Factorizations: QR and Singular Value * The Umbral Calculus * References * Index

Publish Book: 
Modify Date: 
Wednesday, October 17, 2007

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