Advanced Linear Algebra (Graduate Texts in Mathematics, Vol. 135)
Language: English
Published by Springer, 2007
- Hardcover
- Used
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- Title
- Advanced Linear Algebra (Graduate Texts in Mathematics, Vol. 135)
- Author
- Roman, Steven
- Publisher
- Springer
- Publication year
- 2007
- Condition
- Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387728287
- ISBN 13
- 9780387728285
- Edition
- 3rd.
- Series
- Book 52 of 180: Graduate Texts in Mathematics
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
"Synopsis" may belong to another edition of this title.
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.
"About the title" may belong to another edition of this title.
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