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);-
Algebraic Geometry
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Introduction to Riemannian Manifolds
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A Course in Number Theory and Cryptography
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Algebra
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The Arithmetic of Elliptic Curves
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Brownian Motion and Stochastic Calculus
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Applications of Lie Groups to Differential Equations
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Commutative Algebra
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Representation Theory
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Groups and Representations
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Modular Functions and Dirichlet Series in Number Theory
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Introduction to Topological Manifolds
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Categories for the Working Mathematician
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Quaternion Algebras
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Measure, Integration & Real Analysis
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Graph Theory
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Lie Groups, Lie Algebras, and Representations
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Differential Forms in Algebraic Topology
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Complex Analysis
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Modern Graph Theory
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Problems in Analytic Number Theory
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A Course in the Theory of Groups
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Fermat's Last Theorem
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Holomorphic Functions and Integral Representations in Several Complex Variables
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Elements of Homotopy Theory
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Probability Theory I
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Algebraic Number Theory
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Mathematical Methods of Classical Mechanics
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Topology and Geometry
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An Introduction to Algebraic Topology
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The Geometry of Schemes
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Foundations of Differentiable Manifolds and Lie Groups
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Abstract Algebra
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Introduction to Elliptic Curves and Modular Forms
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Linear Representations of Finite Groups
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A Classical Introduction to Modern Number Theory
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Introduction to Smooth Manifolds
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Brownian Motion, Martingales, and Stochastic Calculus
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. |
| Note | Unavailable |