Lectures on Classical Mechanics
by John C. Baez
Publisher: University of California 2005
Number of pages: 76
These are course notes for a mathematics graduate course on classical mechanics. The author started with the Lagrangian approach, with a heavy emphasis on action principles, and derived the Hamiltonian approach from that.
Home page url
Download or read it online for free here:
Classical mechanics is the study of the motion of bodies based upon Isaac Newton's famous laws of mechanics. The reader should be comfortable with basic physics concepts. Familiarity with geometry, algebra, and calculus is a must.
by Oene Bottema, Bernard Roth - Dover Publications
An important reference for any researcher in kinematics, it covers many important results for analysis and design of mechanisms. The authors used the adjective theoretical in the title in order to distinguish the subject from applied kinematics.
by Ray M. Bowen - Springer
This textbook is an introduction to the essentials of modern Continuum Mechanics for engineering graduate students. The book is self contained and suitable for self study. It establishes certain classical continuum models within a modern framework.
by Gerald Jay Sussman, Jack Wisdom - The MIT Press
The book emphasizes the development of general tools to support the analysis of nonlinear Hamiltonian systems. Explorations of transitions to chaos, nonlinear resonances, and resonance overlap to help the student to develop tools for understanding.