Notes on Analytical Mechanics
by Ingemar Bengtsson
Publisher: Stockholms universitet, Fysikum 2018
Number of pages: 143
These are lecture notes for an undergraduate course in analytical mechanics. From the table of contents: The Best of all Possible Worlds; Lagrangian mechanics; The central force two-body problem; Rotation and rigid bodies; The Hamiltonian formulation; Integrable and chaotic motion.
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by Joel A. Shapiro - Rutgers
A textbook for an advanced course in classical mechanics covering: Particle Kinematics; Lagrange's and Hamilton's Equations; Two Body Central Forces; Rigid Body Motion; Small Oscillations; Hamilton's Equations; Perturbation Theory; Field Theory.
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 Douglas Cline - River Campus Libraries
This book introduces variational principles, and illustrates the intellectual beauty, the remarkable power, and the broad scope, of applying variational principles to classical mechanics. Applications presented cover a wide variety of topics ...
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.