Analytical Mechanics: An Introduction - Rilegato

Fasano, Antonio; Marmi, Stefano

Rilegato

ISBN 10: 0198508026 ISBN 13: 9780198508021

Casa editrice: OUP Oxford, 2006

Riassunto

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.

Su questo libro

Recensione:

Pleasantly presented. (K. Lindsay, University of Glasgow)

L'autore:

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

Su questa edizione

• Editore: OUP Oxford
• Data di pubblicazione: 2006
• ISBN 10: 0198508026
• ISBN 13: 9780198508021
• Rilegatura: Copertina rigida
• Numero di pagine: 788