| Reviews |
| - 'Pleasantly presented.' - K. Lindsay, University of Glasgow
|
| Description | | - Illustrates the basic material, as well as some of the deepest and most advanced concepts in plain language and with simple mathematical tools
- Presents core of Analytical Mechanics, and some of its most relevant applications e.g. to Astronomy, Statistical Mechanics, Continuum Mechanics
- Readership of graduate students in theoretical physics, mechanical engineering, and applied mathematics
- Contains many problems throughout the book, as well as a section of solutions attached to each chapter
- Only prerequisite is basic calculus. Advanced mathematics is explained in a simple, student-friendly style
| 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. |
Readership: Advanced undergraduate and graduate students of applied mathematics, mechanical engineering and theoretical physics.
| 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.
langrangian Formalism in Continuum Mechanics
Appendices
|
| Authors, editors,
and contributors |
Antonio Fasano, Department of Mathematics, University of Firenze and
S Marmi, Department of Mathematics, University of Florence
Translated by Beatrice Pelloni, Department of Mathematics, University of Reading
|
The specification in this catalogue, including without
limitation price, format, extent, number of illustrations,
and month of publication, was as accurate as
possible at the time the catalogue was compiled.
Occasionally, due to the nature of some contractual restrictions, we
are unable to ship a specific product to a particular territory.
Jacket images are provisional and liable to change before publication.
|
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