Linear algebra in action

摘要: Linear algebra permeates mathematics, perhaps more so than any other single subject. It plays an essential role in pure and applied statistics, computer science, many aspects of physics engineering. This book conveys a user-friendly way the basic advanced techniques linear from point view working analyst. The are illustrated by wide sample applications examples that chosen to highlight tools trade. In short, this is material us wish we had been taught as graduate student. Roughly first third covers course algebra. remaining chapters devoted drawn vector calculus, numerical analysis, control theory, complex convexity functional analysis. particular, fixed theorems, extremal problems, matrix equations, zero location eigenvalue matrices with nonnegative entries discussed. Appendices on useful facts analysis supplementary information function theory also provided for convenience reader. new edition, most edition have revised, some extensively. revisions include changes number proofs, either simplify argument, make logic clearer or, occasion, sharpen result. New introductory sections programming, extreme points polyhedra Nevanlinna-Pick interpolation problem added, very short mathematics behind Google, Drazin inverses, band inverses SVD together exercises.