Analytical Mechanics - An Introduction

Aimed at advanced undergraduate and graduate students of applied mathematics, theoretical physics and mechanical engineering.

List of contents

• 1: Geometric and kinematic foundations of Lagrangian mechanics


• 2: Dynamics: general laws and the dynamics of a point particle


• 3: One-dimensional motion


• 4: The dynamics of discrete systems. Lagrangian formalism


• 5: Motion in a central field


• 6: Rigid bodies: geometry and kinematics


• 7: The mechanics of rigid bodies: dynamics


• 8: Analytical mechanics: Hamiltonian formalism


• 9: Analytical mechanics: variational principles


• 10: Analytical mechanics: canonical formalism


• 11: Analytical mechanics: Hamilton-Jacobi theory and integrability


• 12: Analytical mechanics: canonical perturbation theory


• 13: Analytical mechanics: an introduction to ergodic theory and to chaotic motion


• 14: Statistical mechanics: kinetic theory


• 15: Statistical mechanics: Gibbs sets


• 16: Lagrangian formalism in continuum mechanics


• Appendices

About the author

Professor Antonio Fasano
Dipartimento di Matematica "U. Dini"
Universita di Firenze
Viale Morgagni 67A
50134 Firenze
Italy

Professor Stefano Marmi
Scuola Normale Superiore
Piazza dei Cavalieri 7
56126 Pisa
Italy

Summary

Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a point mass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.

Additional text

Pleasantly presented.

Product details

• Authors: Antonio Fasano, Antonio (Dipartimento DI Matematica Fasano, Antonio Marmi Fasano, Stefano Marmi, Stefano (Scuola Normale Superiore Marmi, Beatrice Pelloni
• Assisted by: Beatrice Pelloni (Translation), Beatrice (Department of Mathematics Pelloni (Translation)
• Publisher: Oxford University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 22.08.2013
• EAN: 9780199673858
• ISBN: 978-0-19-967385-8
• No. of pages: 788
• Series: Oxford Graduate Texts; Oxford Graduate Texts
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous