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.
Table of content :
Chapter 1 : Systems of Linear Equations and Matrices
Chapter 2 : Determinants
Chapter 3 : Euclidean Vector Spaces
Chapter 4 : General Vector Spaces
Chapter 5 : Eigenvalues and Eigenvectors
Chapter 6 : Inner Product Spaces
Chapter 7 : Diagonalization and Quadratic Forms
Chapter 8 : Linear Transformations
Chapter 9 : Numerical Methods
Chapter10 : Applications of Linear Algebra