Klein F., Sommerfeld A. The Theory of the Top. Volumes I-IV

Springer, 2008-2014. — 1009 p.The Theory of the Top is a series of four self-contained English translations of the classic and definitive treatment of rigid body motion. It was originally presented by famous mathematician Felix Klein as an 1895 lecture at Göttingen University and later was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this a thorough and insightful account.Volume I: Introduction to the Kinematics and Kinetics of the Top
The kinematics of the top.
Introduction to kinetics (statics and impulse theory).
The Euler equations, with further development of the kinetics of the top.
Volume II: Development of the Theory in the Case of the Heavy Symmetric Top
The general motion of the heavy symmetric top. Introduction to elliptic integrals.
On special forms of motion of the heavy symmetric top, particularly pseudoregular precession, and on the stability of motion.
Representation of the motion of the top by elliptic functions.
Volume III: Perturbations. Astronomical and Geophysical Applications
Theory and reality. The influence of friction, air resistance, and elasticity of the material and the support on the motion of the top.
Applications of the theory of the top.
Volume IV: Technical Applications of the Theory of the Top
Technical applications.