A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
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TL;DR
The Sciencemadness library currently holds 50426 pages of reading and reference material in 107 volumes, including algebraic geometry, which is the foundation of most modern fields of geometry, including mathematics, physics, and astronomy.
Abstract
This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.