About this product

Product Identifiers

PublisherPrentice Hall PTR

ISBN-100136009263

ISBN-139780136009269

eBay Product ID (ePID)63469010

Product Key Features

Number of Pages504 Pages

LanguageEnglish

Publication NameLinear Algebra with Applications

SubjectAlgebra / Linear

Publication Year2008

TypeTextbook

Subject AreaMathematics

AuthorOtto Bretscher

FormatHardcover

Dimensions

Item Height0.5 in

Item Weight41.3 Oz

Item Length10 in

Item Width8 in

Additional Product Features

Edition Number4

Intended AudienceCollege Audience

LCCN2008-028930

Dewey Edition23

Dewey Decimal512/.5

Table Of Content1. Linear Equations 1.1 Introduction to Linear Systems 1.2 Matrices, Vectors, and Gauss-Jordan Elimination 1.3 On the Solutions of Linear Systems; Matrix Algebra 2. Linear Transformations 2.1 Introduction to Linear Transformations and Their Inverses 2.2 Linear Transformations in Geometry 2.3 Matrix Products 2.4 The Inverse of a Linear Transformation 3. Subspaces of R" and Their Dimensions 3.1 Image and Kernel of a Linear Transformation 3.2 Subspace of R"; Bases and Linear Independence 3.3 The Dimension of a Subspace of R" 3.4 Coordinates 4. Linear Spaces 4.1 Introduction to Linear Spaces 4.2 Linear Transformations and Isomorphisms 4.3 The Matrix of a Linear Transformation 5. Orthogonality and Least Squares 5.1 Orthogonal Projections and Orthonormal Bases 5.2 Gram-Schmidt Process andQRFactorization 5.3 Orthogonal Transformations and Orthogonal Matrices 5.4 Least Squares and Data Fitting 5.5 Inner Product Spaces 6. Determinants 6.1 Introduction to Determinants 6.2 Properties of the Determinant 6.3 Geometrical Interpretations of the Determinant; Cramer's Rule 7. Eigenvalues and Eigenvectors 7.1 Dynamical Systems and Eigenvectors: An Introductory Example 7.2 Finding the Eigenvalues of a Matrix 7.3 Finding the Eigenvectors of a Matrix 7.4 Diagonalization 7.5 Complex Eigenvalues 7.6 Stability 8. Symmetric Matrices and Quadratic Forms 8.1 Symmetric Matrices 8.2 Quadratic Forms 8.3 Singular Values 9. Linear Differential Equations 9.1 An Introduction to Continuous Dynamical Systems 9.2 The Complex Case: Euler's Formula 9.3 Linear Differential Operators and Linear Differential Equations Appendix A. Vectors Answers to Odd-numbered Exercises Subject Index Name Index

SynopsisOffering the most geometric presentation available, this book emphasizes linear transformations as a unifying theme. It combines a user-friendly presentation with straightforward language to clarify and organize the many techniques and applications of linear algebra., Offering the most geometric presentation available, Linear Algebra with Applications, Fourth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the many techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Extensive problem sets keep students involved in the material, while genuine applications for a broad range of sciences prepares them for the methods and models of contemporary scientists. In addition, the wealth and variety of exercise sets enable instructors to design a course to best suit the goals and needs of their students. This revision reflects careful review and appropriate changes to the wording of each idea, while preserving the content structure of the previous edition.

LC Classification NumberQA184.2.B73 2009