Essentials of Hamiltonian dynamics / John H. Lowenstein.

"Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry, and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics based on Hamiltonian methods. Readers are introduced to the impressive advances in the field during the second half of the twentieth-century, including KAM theory and deterministic chaos. Essential to these developments are some exciting ideas from modern mathematics, which are introduced carefully and selectively. Core concepts and techniques are discussed, together with numerous concrete examples to illustrate key principles"-- Provided by publisher

Includes bibliographical references and index.

Cover; ESSENTIALS OF HAMILTONIAN DYNAMICS; Title; Copyright; Dedication; Contents; Preface; 1: Fundamentals of classical dynamics; 1.1 Newtonian mechanics; 1.2 Configuration space; 1.2.1 Particle on a sphere; 1.2.2 Planar double pendulum; 1.2.3 Independence of constraints; 1.2.4 Configuration space as a differential manifold; 1.3 Lagrangian formulation of Newtonian mechanics; 1.4 Hamiltonian formulation; 1.4.1 Introduction of the Hamiltonian; 1.4.2 Phase space; 1.5 Examples; 1.5.1 Harmonic oscillator; 1.5.2 Simple pendulum; 1.5.3 Exact solution of the pendulum equations.

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