Introduction to Hamiltonian Mechanics

Gerardo F. Torres del Castillo is a professor of physics and mathematics at the Universidad Autónoma de Puebla, where he has taught since 1979. He is the author or coauthor of more than 30 papers on classical mechanics. His other published books are Differentiable Manifolds; 3-D Spinors, Spin-Weighted Functions and their Applications; and Spinors in Four-Dimensional Spaces.

“This book is primarily intended for advanced undergraduate and graduate students in physics and applied mathematics. … in my opinion this book may be regarded as a valuable addition to the existing literature in the field.” (Frans Cantrijn, Mathematical Reviews, July, 2019)“‘This book is intended for advanced undergraduate or graduate students in physics or applied mathematics and for researchers working in related subjects.’” (Cristian Lăzureanu, zbMATH 1422.70001, 2019)“A book for beginning students of analytical mechanics, whether they be advanced undergraduates, graduate students or others wishing to learn more about mechanics through self-study. The book does a very nice job of shepherding the reader from Newtonian mechanics to Lagrangian mechanics … . This book is a must-have library book for any mathematics or physics library.” (Steven Deckelman,MAA Reviews, May 20, 2019)

• Preface.- The Lagrangian Formalism.- Some Applications of the Lagrangian Formalism.- Rigid Bodies.- The Hamiltonian Formalism.- Canonical Transformations.- The Hamilton–Jacobi Formalism.- Solutions.- References.- Index.