Bøger af Nicholas A. (Virginia Technical University Loehr

Designed for advanced undergraduate and beginning graduate students in linear of abstract algebra, Advanced Linear Algebra provides a bridge from elementary computational linear algebra to more advanced, abstract aspects of linear algebra in many areas of pure and applied mathematics.

Designed for a second theoretical course in linear algebra, this text explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The author covers algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. He gives complete proofs of all results and supplements the general theory with many specific examples and concrete computations.