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Universitext Ser.: A Polynomial Approach to Linear Algebra by P. A. Fuhrmann...
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βVery Good condition with very light wear.β
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Seller assumes all responsibility for this listing.
eBay item number:255699388249
Item specifics
- Condition
- Very Good
- Seller Notes
- βVery Good condition with very light wear.β
- Country of Origin
- United States
- Educational Level
- Adult & Further Education
- Level
- Intermediate, Advanced, Proficiency
- Original/Facsimile
- Original
- ISBN
- 9780387946436
About this product
Product Identifiers
Publisher
Springer
ISBN-10
0387946438
ISBN-13
9780387946436
eBay Product ID (ePID)
1023816
Product Key Features
Number of Pages
Xiii, 380 Pages
Publication Name
Polynomial Approach to Linear Algebra
Language
English
Publication Year
1996
Subject
Algebra / Linear, Linear & Nonlinear Programming, Applied
Type
Textbook
Subject Area
Mathematics
Series
Universitext Ser.
Format
Trade Paperback
Dimensions
Item Height
1 in
Item Weight
18.8 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
College Audience
LCCN
95-049237
TitleLeading
A
Dewey Edition
20
Dewey Decimal
512/.5
Table Of Content
1 Preliminaries 2 Linear Spaces 3 Determinants 4 Linear Transformations 5 The Shift Operator 6 Structure Theory of Linear Transformations 7 Inner Product Spaces 8 Quadratic Forms 9 Stability 10 Elements of System Theory 11 Hankel Norm Approximation
Synopsis
This text demonstrates how it is posible, using the shift operator as a central object, to make linear algebra an effective introduction to other areas of mathematics, especially operator theory. This approach is used in the analysis of canonical forms, including Frobenius and Jordan. The functional methods outlined here lead to computational algorithms. The text treats stability theory and sytem theory concepts as an integral part of linear algebra. It also includes a chapter on Hankel norm approximation for the case of scalar rational functions., "A Polynomial Approach to Linear Algebra" is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.
LC Classification Number
QA184.F8 1996
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