Advanced Linear Algebra by Steven Roman

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Summary

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);

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Advanced Linear Algebra by Steven Roman

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);

From the reviews of the first edition:

"… The book is very well written and has a good set of exercisesIt is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH

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, Zentralblatt MATH, Vol. 1085, 2006)

"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 solutionof trickier problems. … It represents linear algebra and does so comprehensively." (Henry Ricardo, MathDL, May, 2005)

From the reviews of the third edition:

“This is the 3rd edition of a well written graduate book on linear algebra. … The list of references has been enlarged considerably. The book is suitable for a second course on linear algebra and/or a graduate text, as well as a reference text.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, May, 2014)

"This is the 3rd edition of a well written graduate book on linear algebra. … The book covers a wide range of topics in a moderate length and careful manner. … The list of references has been enlarged considerably. … is suitable for a second course on linear algebra and/or a graduate text, as well as a reference text." (A. Arvanitoyeorgos, Zentralblatt MATH, Vol. 1132 (10), 2008)

Steven Roman is an Emeritus Mathematics Professor at the University of California. Field Theory, Advanced Linear Algebra, Introduction to Coding and Information Theory, and most recently Foundations of Group Theory are among his many Springer publications.

SKU Unavailable
ISBN 13 9780387728285
ISBN 10 0387728287
Title Advanced Linear Algebra
Author Steven Roman
Series Graduate Texts In Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Springer-Verlag New York Inc.
Year published 2007-10-08
Number of pages 525
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.