Structures in Linear Algebra: Vectors, Matrices, and Bilinear Forms - Hardcover

by Thanasis Efthymiou (Author)

What connects vectors, matrices, dynamical systems, and bilinear forms?

This book offers a unified answer: the study of linear structures as a coherent system of ideas.Through a dense and purposeful presentation, it reveals the deep connections between concepts that are often taught in isolation. From the fundamental properties of matrices to Lyapunov and Sylvester equations, and from denationalization to the geometry of quadratic forms, the book highlights the unified nature of linear algebra.This is not a conventional textbook, but a map of thought: a tool for those who seek to understand the structure behind the formulas. It is intended for students, researchers, and any reader looking for a deeper and more integrated approach.