Elementary Linear Algebra: Applications Version 10th edition by Howard Anton, Chris Rorres – Ebook PDF Instant Download/Delivery. 0470432055 978-0470432051
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Product details:
ISBN 10: 0470432055
ISBN 13: 978-0470432051
Author: Howard Anton, Chris Rorres
Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.
A concluding chapter covers twenty applications of linear algebra drawn from business, economics, physics, computer science, ecology, genetics, and other disciplines. The applications are independent and each includes a list of mathematical prerequisites.
WileyPLUS sold separately from text.
Elementary Linear Algebra: Applications Version 10th Table of contents:
-
Introduction
- Linear equations and systems
- Matrix operations
- Applications of linear algebra
-
Matrices
- Definition and types of matrices
- Matrix arithmetic
- Inverse of a matrix
-
Determinants
- Definition and properties of determinants
- Cramer’s rule
- Determinants and systems of linear equations
-
Vector Spaces
- Definition of vector spaces
- Subspaces and bases
- Linear independence and span
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Eigenvalues and Eigenvectors
- Definition and properties
- Diagonalization of matrices
- Applications of eigenvalues and eigenvectors
-
Linear Transformations
- Definitions and properties
- Matrix representation of linear transformations
- Applications of linear transformations
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Orthogonality
- Inner product spaces
- Orthogonal sets and Gram-Schmidt process
- Least squares problems
-
Applications
- Systems of linear equations in various contexts
- Geometry of linear systems
- Markov chains and other real-world applications
-
Special Topics (could include various advanced concepts such as):
- Singular value decomposition
- Jordan canonical form
- Advanced topics in matrix theory
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