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Linear Algebra, 4th Edition - Hardcover, by Friedberg Stephen H.; - Acceptable

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Estado
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Book Title
Linear Algebra, 4th Edition
ISBN
9780130084514

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Product Information

For courses in Advanced Linear Algebra. This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0130084514
ISBN-13
9780130084514
eBay Product ID (ePID)
2393825

Product Key Features

Number of Pages
624 Pages
Language
English
Publication Name
Linear Algebra
Publication Year
2002
Subject
Algebra / Linear, Algebra / General
Type
Textbook
Subject Area
Mathematics
Author
Arnold J. Insel, Stephen H. Friedberg, Lawrence E. Spence
Format
Hardcover

Dimensions

Item Height
1.4 in
Item Weight
47.5 Oz
Item Length
9.3 in
Item Width
6.4 in

Additional Product Features

Edition Number
4
LCCN
2002-032677
Dewey Edition
23
Target Audience
College Audience
Illustrated
Yes
Dewey Decimal
512/.5
Lc Classification Number
Qa184.2.F75 2002
Table of Content
1. Vector Spaces. Introduction. Vector Spaces. Subspaces. Linear Combinations and Systems of Linear Equations. Linear Dependence and Linear Independence. Bases and Dimension. Maximal Linearly Independent Subsets. 2. Linear Transformations and Matrices. Linear Transformations, Null Spaces, and Ranges. The Matrix Representation of a Linear Transformation. Composition of Linear Transformations and Matrix Multiplication. Invertibility and Isomorphisms. The Change of Coordinate Matrix. Dual Spaces. Homogeneous Linear Differential Equations with Constant Coefficients. 3. Elementary Matrix Operations and Systems of Linear Equations. Elementary Matrix Operations and Elementary Matrices. The Rank of a Matrix and Matrix Inverses. Systems of Linear Equations--Theoretical Aspects. Systems of Linear Equations--Computational Aspects. 4. Determinants. Determinants of Order 2. Determinants of Order n . Properties of Determinants. Summary--Important Facts about Determinants. A Characterization of the Determinant. 5. Diagonalization. Eigenvalues and Eigenvectors. Diagonalizability. Matrix Limits and Markov Chains. Invariant Subspaces and the Cayley-Hamilton Theorem. 6. Inner Product Spaces. Inner Products and Norms. The Gram-Schmidt Orthogonalization Process and Orthogonal Complements. The Adjoint of a Linear Operator. Normal and Self-Adjoint Operators. Unitary and Orthogonal Operators and Their Matrices. Orthogonal Projections and the Spectral Theorem. The Singular Value Decomposition and the Pseudoinverse. Bilinear and Quadratic Forms. Einstein's Special Theory of Relativity. Conditioning and the Rayleigh Quotient. The Geometry of Orthogonal Operators. 7. Canonical Forms. The Jordan Canonical Form I. The Jordan Canonical Form II. The Minimal Polynomial. Rational Canonical Form. Appendices. Sets. Functions. Fields. Complex Numbers. Polynomials. Answers to Selected Exercises. Index.

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