Elementary linear algebra / Howard Anton.
Material type:
TextPublication details: New York ; Chichester : Wiley, c1987.Edition: 5th edDescription: 1 v. (various pagings) : ill. ; 25cmISBN: - 0471848190 :
- 512.5 ANT
| Item type | Current library | Call number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|
| Standard Loan | Moylish Library Main Collection | 512.5 ANT (Browse shelf(Opens below)) | Available | 39002100598599 |
Enhanced descriptions from Syndetics:
This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation.Clear, accessible, step-by-step explanations make the material crystal clear.The authors spotlight the relationships between concepts to give a unified and complete picture.Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.
Previous ed.: c1984.
Includes index.
Table of contents provided by Syndetics
- Note: All relevant chapters end with Supplementary Exercises.
- 1 Linear Equations and Matrices
- Systems of Linear Equations
- Matrices
- Matrix Multiplication
- Algebraic Properties of Matrix Operations
- Special Types of Matrices and Partitioned Matrices
- Matrix Transformations
- Computer Graphics
- Correlation Coefficient (Optional)
- 2 Solving Linear Systems
- Echelon Form of a Matrix
- Elementary Matrices: Finding A-1
- Equivalent Matrices
- LU-Factorization (Optional)
- 3 Real Vector Spaces
- Vectors in the Plane and in 3-space
- Vector Spaces
- Subspaces
- Span and Linear Independence
- Basis and Dimension
- Homogeneous Systems
- Coordinates and Isomorphisms
- Rank of a Matrix
- 4 Inner Product Spaces
- Standard Inner Product on R2 and R3
- Cross Product in R3 (Optional)
- Inner Product Spaces
- Gram-Schmidt Process
- Orthogonal Complements
- Least Squares (Optional)
- 5 Linear Transformations and Matrices
- Definition and Examples
- Kernel and Range of a Linear Transformation
- Matrix of a Linear Transformation
- Vector Space of Matrices and Vector Space of Linear Transformations (Optional)
- Similarity
- Inroduction to Homogeneous Coordinates (Optional)
- 6 Determinants
- Definition
- Properties of Determinants
- Cofactor Expansion
- Inverse of a Matrix
- Other Applications of Determinants
- Determinants from a Computational Point of View
- 7 Eigenvalues and Eigenvectors
- Eigenvalues and Eigenvectors
- Diagonalization and Similar Matrices
- Stable Age Distribution in a Population
- Markov Processes (Optional)
- Diagonalization of Symmetric Matrices
- Spectral Decomposition and Singular Value Decomposition (Optional)
- Real Quadratic Forms
- Conic Sections
- Quadric Surfaces
- Dominant Eigenvalue and Principal Component Analysis (Optional)
- 8 Differential Equations (Optional)
- Differential Equations
- Dynamical Systems
- 9 MATLAB for Linear Algebra
- Input and Output in MATLAB
- Matrix Operations in MATLAB
- Matrix Powers and Some Special Matrices
- Elementary Row Operations in MATLAB
- Matrix Inverses in MATLAB
- Vectors in MATLAB
- Applications of Linear Combinations in MATLAB
- Linear Transformations in MATLAB
- MATLAB Command Summary
- 10 MATLAB Exercises
- Appendix A Preliminaries Sets Functions
- Appendix B Complex Numbers Complex Numbers Complex Numbers in Linear Algebra
- Appendix C Introduction to Proofs
- Answers to Odd-Numbered Exercises
- Index