Advanced Linear Algebra

Roman, Steven (Editor)

ISBN 10: 0387728287 / ISBN 13: 9780387728285

Published by Springer Verlag, 2007

About this Item

3rd edition. 522 pages. 9.25x6.00x1.00 inches. In Stock. This item is printed on demand. Seller Inventory # __0387728287

Bibliographic Details

Title: Advanced Linear Algebra

Publisher: Springer Verlag

Publication Date: 2007

Binding: Hardcover

Condition: Brand New

Edition: 3rd Edition

About this title

Synopsis:

For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; corrected all known errors; the reference section has been enlarged considerably, with over a hundred references to books on linear algebra.

From the reviews of the second edition:

“In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. … As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. … the exercises are rewritten and expanded. … Overall, I found the book a very useful one. … It is a suitable choice as a graduate text or as a reference book.”

Ali-Akbar Jafarian, ZentralblattMATH

“This is a formidable volume, a compendium of linear algebra theory, classical and modern … . The development of the subject is elegant … . The proofs are neat … . The exercise sets are good, with occasional hints given for the solution of trickier problems. … It represents linear algebra and does so comprehensively.”

Henry Ricardo, MathDL

About the Author:

Dr. Roman has authored 32 books, including a number of books on mathematics, such as Introduction to the Finance of Mathematics, Coding and Information Theory, and Field Theory, published by Springer-Verlag. He has also written Modules in Mathematics, a series of 15 small books designed for the general college-level liberal arts student. Besides his books for O'Reilly, Dr. Roman has written two other computer books, both published by Springer-Verlag.