Overview

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.

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9786188834781

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THANASIS EFTHYMIOU studied Physics at the University of Athens and pursued postgraduate studies in Control Theory. As a researcher, he focuses on the application of rigorous analytical methods and logical structures across diverse fields of human knowledge.His interdisciplinary research spans from Theoretical Physics, Mathematics and Logic Theory to Ancient Religions and Mythology. His approach seeks to uncover the underlying patterns and logical consistency in both the physical world and the evolution of human thought and tradition.

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