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About this product
Product Identifiers
PublisherPrentice Hall PTR
ISBN-100132338599
ISBN-139780132338592
eBay Product ID (ePID)70545
Product Key Features
Number of Pages557 Pages
LanguageEnglish
Publication NameLinear Algebra
Publication Year1996
SubjectAlgebra / Linear
TypeTextbook
Subject AreaMathematics
AuthorStephen H. Friedberg, J. Arnold Insel, Lawrence E. Spence
FormatHardcover
Dimensions
Item Height1 in
Item Weight28.6 Oz
Item Length9.3 in
Item Width6.2 in
Additional Product Features
Edition Number3
Intended AudienceCollege Audience
LCCN96-026503
Dewey Edition23
IllustratedYes
Dewey Decimal512/.5
Table Of ContentPreface. 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 EquationsTheoretical Aspects. Systems of Linear EquationsComputational Aspects. 4. Determinants. Determinants of Order 2. Determinants of Order n. Properties of Determinants. SummaryImportant 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. Bilinear and Quadratic Forms. Einstein's Special Theory of Relativity. Conditioning and the Rayleigh Quotient. The Geometry of Orthogonal Operators. 7. Canonical Forms. Jordan Canonical Form I. Jordan Canonical Form II. The Minimal Polynomial. Rational Canonical Form. Appendices. Sets. Functions. Fields. Complex Numbers. Polynomials. Answers to Selected Exercises. List of Frequently Used Symbols. Index of Theorems. Index.
SynopsisAn accessible, applications-oriented presentation of the theory of linearalgebra. This is the top selling theorem-proof text in the market. *NEW - The text has been extensively rewritten with many additional examples and exercises and for increased clarity. *NEW - Additional material on the reduced echelon form of a matrix is included in Section 3.4. *A significant number of interesting and accessible exercises. *Real-world applications are provided throughout the book that reveal the power of the subject by demonstrating its practical uses., Appropriate for advanced first courses or regular second courses in linear algebra. An accessible, applications-oriented presentation of the theory of linear algebra. This is the top selling theorem-proof text in the market.