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Linear Algebra
An Introduction Using Maple
1st Edition - June 22, 2001
Author: Fred Szabo
Other ISBN:
9 7 8 - 0 - 0 8 - 0 9 2 6 1 9 - 3
Linear Algebra: An Introduction Using MAPLE is a text for a first undergraduate course in linear algebra. All students majoring in mathematics, computer science, engineering,… Read more
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Linear Algebra: An Introduction Using MAPLE is a text for a first undergraduate course in linear algebra. All students majoring in mathematics, computer science, engineering, physics, chemistry, economics, statistics, actuarial mathematics and other such fields of study will benefit from this text. The presentation is matrix-based and covers the standard topics for a first course recommended by the Linear Algebra Curriculum Study Group. The aim of the book is to make linear algebra accessible to all college majors through a focused presentation of the material, enriched by interactive learning and teaching with MAPLE.
Development of analytical and computational skills is emphasized throughout
Worked examples provide step-by-step methods for solving basic problems using Maple
The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer animation, and statistics
Worked examples provide step-by-step methods for solving basic problems using Maple
The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer animation, and statistics
Using Maple
Random Matrices
Row And Column Vectors
Dot Products And Matrix Multiplication
Assignments And Procedures
Solving Linear Systems
Matrix Decomposition
Determinants And Norms
Geometry
Special Symbols
Maple Help
Integrated Tutorial
Linear Systems
Linear Equations
Linear Systems
Solving Linear Systems
Matrices And Linear Systems
Augmented Matrices
Row Echelon Matrices
Reduced Row Echelon Matrices
Matrix Equations
Applications
Review
Matrix Algebra
Introduction
Basic Matrix Operations
A Lexicon Of Matrices
Invertible Matrices
Orthogonal Matrices
The Lu Decomposition
Applications
Review
Determinants
The Laplace Expansion
Applications
Review
Vectorspaces
Real Vector Spaces
Bases And Dimension
Subspaces
Complex Vector Spaces
Review
Linear Transformations
Linear Transformations
Matrices Of Linear Transformations
Images And Kernels
Similarity
Review
Eigenvalues And Eigenvectors
Introduction
Characteristic Polynomials
Eigenspaces
Diagonalizing Square Matrices
Applications
Review
Norms And Inner Products
Euclidean Norms And Dot Products
Non-Euclidean Norms
Real Inner Products
Angles
Quadratic Forms
Complex Inner Products
Review
Orthogonality
Orthogonal Vectors
Orthogonal Bases
Orthonormal Bases
The Qr Decomposition
Orthogonal Matrices
Orthogonal Subspaces
Orthogonal Transformations
The Method Of Least Squares
Review
Singular Values And Singular Vectors
Singular Values
Singular Value Decomposition
Applications
Review
A The Fundamental Theorem Of Algebra
B Numerical Calculations
C Mathematical Induction
D Sigmanotation
E Maple Packages
The Combinat Package
The Geometry Package
The Linalg Package
The Linearalgebra Package
The Networks Package
The Plots Package
The Plottools Package
The Stats Package
F Answers To Odd-Numbered Exercises
Linear Systems
Matrix Algebra
Determinants
Vector Spaces
Linear Transformations
Eigenvalues And Eigenvectors
Norms And Inner Products
Orthogonality
Singular Values And Singular Vectors
Index
Random Matrices
Row And Column Vectors
Dot Products And Matrix Multiplication
Assignments And Procedures
Solving Linear Systems
Matrix Decomposition
Determinants And Norms
Geometry
Special Symbols
Maple Help
Integrated Tutorial
Linear Systems
Linear Equations
Linear Systems
Solving Linear Systems
Matrices And Linear Systems
Augmented Matrices
Row Echelon Matrices
Reduced Row Echelon Matrices
Matrix Equations
Applications
Review
Matrix Algebra
Introduction
Basic Matrix Operations
A Lexicon Of Matrices
Invertible Matrices
Orthogonal Matrices
The Lu Decomposition
Applications
Review
Determinants
The Laplace Expansion
Applications
Review
Vectorspaces
Real Vector Spaces
Bases And Dimension
Subspaces
Complex Vector Spaces
Review
Linear Transformations
Linear Transformations
Matrices Of Linear Transformations
Images And Kernels
Similarity
Review
Eigenvalues And Eigenvectors
Introduction
Characteristic Polynomials
Eigenspaces
Diagonalizing Square Matrices
Applications
Review
Norms And Inner Products
Euclidean Norms And Dot Products
Non-Euclidean Norms
Real Inner Products
Angles
Quadratic Forms
Complex Inner Products
Review
Orthogonality
Orthogonal Vectors
Orthogonal Bases
Orthonormal Bases
The Qr Decomposition
Orthogonal Matrices
Orthogonal Subspaces
Orthogonal Transformations
The Method Of Least Squares
Review
Singular Values And Singular Vectors
Singular Values
Singular Value Decomposition
Applications
Review
A The Fundamental Theorem Of Algebra
B Numerical Calculations
C Mathematical Induction
D Sigmanotation
E Maple Packages
The Combinat Package
The Geometry Package
The Linalg Package
The Linearalgebra Package
The Networks Package
The Plots Package
The Plottools Package
The Stats Package
F Answers To Odd-Numbered Exercises
Linear Systems
Matrix Algebra
Determinants
Vector Spaces
Linear Transformations
Eigenvalues And Eigenvectors
Norms And Inner Products
Orthogonality
Singular Values And Singular Vectors
Index
- No. of pages: 726
- Language: English
- Published: June 22, 2001
- Imprint: Academic Press
- Other ISBN: 9780080926193
FS
Fred Szabo
Author of:
The Linear Algebra Survival Guide, 1st Edition
Actuaries' Survival Guide, 2nd Edition
Actuaries' Survival Guide, 1st Edition
Linear Algebra: An Introduction using Maple, 1st Edition
Linear Algebra: An Introduction using Mathematica, 1st Edition
Fred E. Szabo is professor in the Department of Mathematics and Statistics at Concordia University in Canada. He completed his undergraduate studies at Oxford University under the guidance of Sir Michael Dummett and received a Ph.D. in mathematics from McGill University under the supervision of Joachim Lambek. After postdoctoral studies at Oxford University and visiting professorships at several European universities, he returned to Concordia University as a faculty member and dean of graduate studies. For more than twenty years, he developed methods for the teaching of mathematics with technology. In 2012 he was honored at the annual Wolfram Technology Conference for his work on "A New Kind of Learning" with a Wolfram Innovator Award. He is currently professor and Provost Fellow at Concordia University.
Affiliations and expertise
Department of Mathematics, Concordia University, Montreal, Quebec, Canada