This book introduces the key ideas of how vectors behave in motion and how to apply them to geometry and physics. It covers changing frames of reference, relative motion, and the math needed to describe rotations, derivatives, and integrals in a rigorous but accessible way.

You’ll find concrete developments of topics such as Coriolis’ theorem, Euler’s equations for rigid bodies, and curvature and torsion of curves. The text connects these ideas to problems in mechanics and engineering, offering a solid foundation for both theory and application.

How to relate velocities and accelerations seen from different frames of reference
Derivation and use of Coriolis’ theorem in dynamics
Euler’s dynamical equations and their applications to rigid bodies
Concepts of curvature, torsion, and the geometry of curves

Ideal for readers of physics and engineering who want a rigorous, readable treatment of vector methods and their applications.

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