Linear Algebra. Pure and Applied Mathematics

I would recommend this book to those who have learned linear algebra long ago and plan to pick up some back. This book gives an extremely concise introduction to the core of linear algebra(so not quite the best for beginners), without any redundant sentences in trivial calculation. Starting with linear map and ending in spectral resolution, different parts are united. It also advances with the times, include topics like duality, convexity, which is interesting from engineering perspective.For those who only learn some elementary algebra in undergraduate, this book helps to make a big picture and to show some deep reason behind that. This introduction to linear algebra by world renowned mathematician Peter Lax is unique in its emphasis on the analytical aspects of the subject as well as its numerous applications. The book grew out of Dr. Lax's course notes for the linear algebra classes he teaches at New York University. Geared to graduate students as well as advanced undergraduates, it assumes only limited knowledge of linear algebra and avoids subjects already heavily treated in other textbooks. And while it discusses linear equations, matrices, determinants, and vector spaces, it also includes a number of exciting topics that are not covered elsewhere, such as eigenvalues, the Hahn-Banach theorem, geometry, game theory, and numerical analysis. Clear, concise, and superbly organized. Linear Algebra is an excellent text for advanced undergraduate and graduate courses and also serves as a handy professional reference. Peter D. Lax. A Wiley-interscience Publication. Includes Bibliographical References (p. 245) Ans Index.