Linear Algebra and Its Applications

Description

Praise for the First Edition"". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematician's bookshelf.""--American Mathematical MonthlyLinear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features.;Cover; Contents; The Wiley Bicentennial-Knowledge for Generations; Title Page; Copyright; Preface; Preface to the First Edition; Chapter 1: Fundamentals; Chapter 2: Duality; Chapter 3: Linear Mappings; Chapter 4: Matrices; Chapter 5: Determinant and Trace; Chapter 6: Spectral Theory; Chapter 7: Euclidean Structure; Chapter 8: Spectral Theory of Self-Adjoint Mappings; Chapter 9: Calculus of Vector- and Matrix-Valued Functions; Chapter 10: Matrix Inequalities; Chapter 11: Kinematics and Dynamics; Chapter 12: Convexity; Chapter 13: The Duality Theorem; Chapter 14: Normed Linear Spaces.