About this product

Product Identifiers

PublisherPearson Education

ISBN-100134860241

ISBN-139780134860244

eBay Product ID (ePID)11038208703

Product Key Features

Number of Pages608 Pages

Publication NameLinear Algebra

LanguageEnglish

Publication Year2018

SubjectAlgebra / Linear, General

TypeTextbook

AuthorArnold Insel, Stephen Friedberg, Lawrence Spence

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height3.9 in

Item Weight3.5 Oz

Item Length9.3 in

Item Width3.9 in

Additional Product Features

Edition Number5

Intended AudienceCollege Audience

LCCN2018-016171

Dewey Edition19

Dewey Decimal512/.5

Table Of Content* Sections denoted by an asterisk are optional. Vector Spaces 1.1 Introduction 1.2 Vector Spaces 1.3 Subspaces 1.4 Linear Combinations and Systems of Linear Equations 1.5 Linear Dependence and Linear Independence 1.6 Bases and Dimension 1.7* Maximal Linearly Independent Subsets Index of Definitions Linear Transformations and Matrices 2.1 Linear Transformations, Null Spaces, and Ranges 2.2 The Matrix Representation of a Linear Transformation 2.3 Composition of Linear Transformations and Matrix Multiplication 2.4 Invertibility and Isomorphisms 2.5 The Change of Coordinate Matrix 2.6* Dual Spaces 2.7* Homogeneous Linear Differential Equations with Constant Coefficients Index of Definitions Elementary Matrix Operations and Systems of Linear Equations 3.1 Elementary Matrix Operations and Elementary Matrices 3.2 The Rank of a Matrix and Matrix Inverses 3.3 Systems of Linear Equations - Theoretical Aspects 3.4 Systems of Linear Equations - Computational Aspects Index of Definitions Determinants 4.1 Determinants of Order 2 4.2 Determinants of Order n 4.3 Properties of Determinants 4.4 Summary Important Facts about Determinants 4.5* A Characterization of the Determinant Index of Definitions Diagonalization 5.1 Eigenvalues and Eigenvectors 5.2 Diagonalizability 5.3* Matrix Limits and Markov Chains 5.4 Invariant Subspaces and the Cayley-Hamilton Theorem Index of Definitions Inner Product Spaces 6.1 Inner Products and Norms 6.2 The Gram-Schmidt Orthogonalization Process and Orthogonal Complements 6.3 The Adjoint of a Linear Operator 6.4 Normal and Self-Adjoint Operators 6.5 Unitary and Orthogonal Operators and Their Matrices 6.6 Orthogonal Projections and the Spectral Theorem 6.7* The Singular Value Decomposition and the Pseudoinverse 6.8* Bilinear and Quadratic Forms 6.9* Einstein's Special Theory of Relativity 6.10* Conditioning and the Rayleigh Quotient 6.11* The Geometry of Orthogonal Operators Index of Definitions Canonical Forms 7.1 The Jordan Canonical Form I 7.2 The Jordan Canonical Form II 7.3 The Minimal Polynomial 7.4* The Rational Canonical Form Index of Definitions Appendices A. Sets B. Functions C. Fields D. Complex Numbers E. Polynomials Answers to Selected Exercises Index

SynopsisFor courses in Advanced Linear Algebra. Illustrates the power of linear algebra through practical applications This acclaimed theorem-proof text presents a careful treatment of the principal topics of linear algebra. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate. Applications to such areas as differential equations, economics, geometry, and physics appear throughout, and can be included at the instructor's discretion. 0134860241 / 9780134860244 Linear Algebra, 5/e, For courses in Advanced Linear Algebra. Illustrates the power of linear algebra through practical applications This acclaimed theorem-proof text presents a careful treatment of the principal topics of linear algebra. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate. Applications to such areas as differential equations, economics, geometry, and physics appear throughout, and can be included at the instructor's discretion. This book is especially suited to a second course in linear algebra that emphasizes abstract vector spaces, although it can be used in a first course with a strong theoretical emphasis. Updates to the 5th Edition include revised proofs of some theorems, additional examples, and new exercises. Also new in this revision are online solutions for selected theoretical exercises, accessible by short URLs at point-of-use. Errata list for the 5th Edition

LC Classification NumberQA184.F75 2018