Linear algebra with applications
 Author/Creator
 Bretscher, Otto.
 Language
 English.
 Edition
 5th ed.
 Imprint
 Boston : Pearson Education, c2013.
 Physical description
 xv, 508 p. : col. ill. ; 26 cm.
Access
Available online

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QA184 .B73 2013

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QA184 .B73 2013
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Contents/Summary
 Bibliography
 Includes bibliographical references and indexes.
 Contents

 1. Linear Equations 1.1 Introduction to Linear Systems 1.2 Matrices, Vectors, and GaussJordan 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 Rn and Their Dimensions 3.1 Image and Kernel of a Linear Transformation 3.2 Subspace of Rn Bases and Linear Independence 3.3 The Dimension of a Subspace of Rn 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 GramSchmidt Process and QR Factorization 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 Diagonalization 7.2 Finding the Eigenvalues of a Matrix 7.3 Finding the Eigenvectors of a Matrix 7.4 More on Dynamical Systems 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 Appendix B: Techniques of Proof Answers to Oddnumbered Exercises Subject Index Name Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a userfriendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Exercise sets are broad and varied and reflect the author's creativity and passion for this course. This revision reflects careful review and appropriate edits throughout, while preserving the order of topics of the previous edition.
(source: Nielsen Book Data)
Subjects
 Subject
 Algebras, Linear > Textbooks.
Bibliographic information
 Publication date
 2013
 Responsibility
 Otto Bretscher.
 Note
 Includes indexes.
 ISBN
 9780321796974
 0321796977
 0321890582
 9780321890580
 9780321796943
 0321796942