Analytical Mechanics: An Introduction

Fasano, A./ Marmi, S./ Pelloni, Beatrice (Translator)

ISBN 10: 0198508026 / ISBN 13: 9780198508021

Published by Oxford Univ Pr, 2006

new title edition. 792 pages. 9.50x6.75x1.75 inches. In Stock. Seller Inventory # zk0198508026

Synopsis:

Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics. Rooted in the works of Lagrange, Euler, Poincaré (to mention just a few), it is a very classical subject with fascinating developments and still rich of open problems. It addresses such fundamental questions as: Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a point mass be described as a 'wave'? And has remarkable applications to many branches of physics (Astronomy, Statistical Mechanics, Quantum Mechanics).

This book was written to fill a gap between elementary expositions and more advanced (and clearly more stimulating) material. It takes up the challenge to explain the most relevant ideas (generally highly non-trivial) and to show the most important applications using a plain language and 'simple' mathematics, often through an original approach. Basic calculus is enough for the reader to proceed through the book. New mathematical concepts are fully introduced and illustrated in a simple, student-friendly language. More advanced chapters can be omitted while still following the main ideas. Anybody wishing to go deeper in some direction will find at least the flavour of recent developments and many bibliographical references. The theory is always accompanied by examples. Many problems are suggested and some are completely worked out at the end of each chapter. The book may effectively be used (and has been used at several Italian Universities) for undergraduate as well as for PhD courses in Physics and Mathematics at various levels.

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

Bibliographic Details

Title: Analytical Mechanics: An Introduction
Publisher: Oxford Univ Pr
Publication Date: 2006
Binding: Hardcover
Condition: Brand New
Edition: 2nd Edition