Bültmann & Gerriets
Advanced Linear Algebra
von Steven Roman
Verlag: Springer New York
Reihe: Graduate Texts in Mathematics Nr. 135
Hardcover
ISBN: 978-1-4419-2498-8
Auflage: Softcover reprint of hardcover 3rd ed. 2008
Erschienen am 19.11.2010
Sprache: Englisch
Format: 235 mm [H] x 155 mm [B] x 30 mm [T]
Gewicht: 814 Gramm
Umfang: 544 Seiten

Preis: 59,87 €
keine Versandkosten (Inland)


Dieser Titel wird erst bei Bestellung gedruckt. Eintreffen bei uns daher ca. am 28. Oktober.

Der Versand innerhalb der Stadt erfolgt in Regel am gleichen Tag.
Der Versand nach außerhalb dauert mit Post/DHL meistens 1-2 Tage.

klimaneutral
Der Verlag produziert nach eigener Angabe noch nicht klimaneutral bzw. kompensiert die CO2-Emissionen aus der Produktion nicht. Daher übernehmen wir diese Kompensation durch finanzielle Förderung entsprechender Projekte. Mehr Details finden Sie in unserer Klimabilanz.
Inhaltsverzeichnis
Klappentext
Biografische Anmerkung

* 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



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



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.


andere Formate
weitere Titel der Reihe