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Advanced Linear Algebra 2nd, Graduate Texts Mathematics Spectral Theory Hilbert

US $44.77
ApproximatelyS$ 57.54
Condition:
Very Good
Springer, 2nd Ed. Advanced Linear Algebra (2nd Edition). Hardcover. From the personal collection of ... Read moreabout condition
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Item specifics

Condition
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“Springer, 2nd Ed. Advanced Linear Algebra (2nd Edition). Hardcover. From the personal collection of ...
Era
1990s, 20th Century
Signed By
previous owner stamp
Vintage
Yes
Literary Movement
academic STEM theory, spectral mathematics literature, proof-base
Inscribed
No
Book Series
Graduate Texts in Mathematics
Personalized
No
Edition
2nd edition
Country/Region of Manufacture
United States
Original Language
English
Intended Audience
Adults
Signed
Yes
Topic
Steven Roman, advanced linear algebra textbook, graduate mathemat
Personalize
No
Genre
vintage math textbook, higher education mathematics, graduate-lev
Book Title
Advanced Linear Algebra (Graduate Texts in Mathematics)
Ex Libris
No
Narrative Type
Nonfiction
ISBN
9780387247663

About this product

Product Identifiers

Publisher
Springer
ISBN-10
0387247661
ISBN-13
9780387247663
eBay Product ID (ePID)
45022634

Product Key Features

Number of Pages
Xvi, 504 Pages
Publication Name
Advanced Linear Algebra
Language
English
Subject
Algebra / Linear
Publication Year
2005
Features
Revised
Type
Textbook
Subject Area
Mathematics
Author
Steven A. Roman
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
31 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
2005-040244
Dewey Edition
22
Reviews
From the reviews of the first edition: "a? The book is very well written and has a good set of exercises. It is a suitable choice as a graduate textbook as well as a reference book." A.A. Jafarian for ZentralblattMATH
Series Volume Number
Vol. 135
Illustrated
Yes
Dewey Decimal
512/.5
Table Of Content
* 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
Edition Description
Revised edition
Synopsis
This book covers an especially broad range of topics. The first part details the basics of linear algebra. Coverage then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators., This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications.The second edition contains two new chapters: a chapter on convexity, separation and positive solutions to linear systems and a chapter on the QR decomposition, singular values and pseudoinverses. expanded and there is now a discussion of determinants (in the chapter on tensor products), the complexification of a real vector space, Schur's lemma and Gersgorin disks.
LC Classification Number
QA184.2.R66 2005

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