Finite Dimensional Vector Spaces: University Series in Undergraduate Mathematics

""Finite Dimensional Vector Spaces"" is a comprehensive and accessible textbook written by renowned mathematician Paul R. Halmos. The book is part of the ""University Series in Undergraduate Mathematics"" and is designed for undergraduate students who are studying linear algebra. The book covers the fundamental concepts of finite-dimensional vector spaces, including linear transformations, matrices, determinants, and eigenvalues. It also includes advanced topics such as inner product spaces, orthogonal projections, and the spectral theorem. The text is written in a clear and concise style, with numerous examples and exercises throughout to help students understand the material. Halmos also includes historical and philosophical remarks to provide context and motivation for the topics covered. Overall, ""Finite Dimensional Vector Spaces"" is an essential resource for any undergraduate student studying linear algebra or anyone interested in the mathematical foundations of vector spaces.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.