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Focusing on advanced topics in Newtonian rigid dynamics, this textbook covers D'Alembert's principle, virtual work, and Lagrange's equation, among others. It delves into the motion of a top and the momental ellipsoid of a rigid body, emphasizing the conservation principle of angular momentum. With over 350 solved examples and figures, it effectively illustrates complex concepts. Tailored for advanced undergraduate and graduate students in physics, mathematics, and engineering, it provides essential mathematical foundations as needed throughout the text.

This book covers key topics in Galois theory and advanced linear algebra, such as canonical forms and the Cayley–Hamilton theorem. It is structured in four chapters, presenting new theorems and serving as a textbook for undergraduates. A foundational understanding of groups, rings, fields, and vector spaces is recommended.