Linear Algebra
A First Course with Applications to Differential Equations
1. Edition July 1997
XX, 348 Pages, Hardcover
Wiley & Sons Ltd
Short Description
This introduction to linear algebra is based on the author's best-selling Calculus and reviews the pre-calculus and calculus fundamentals needed to understand linear algebra's basic concepts without undue emphasis on abstraction or formalization.
Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization. To accommodate a variety of backgrounds, the text begins with a review of prerequisites divided into precalculus and calculus prerequisites. It continues to cover vector algebra, analytic geometry, linear spaces, determinants, linear differential equations and more.
CALCULUS PREREQUISITES.
Vector Algebra.
Applications of Vector Algebra to Analytic Geometry.
Linear Spaces.
Linear Transformations and Matrices.
Determinants.
Eigenvalues and Eigenvectors.
Eigenvalues of Operators Acting on Euclidean Spaces.
Applications to Linear Differential Equations.
Applications to Systems of Differential Equations.
The Method of Successive Approximations.
Answers to Exercises.
Index.