Téléchargez le livre : Advanced Mechanics

Advanced Mechanics

From Euler's Determinism to Arnold's Chaos

Éditeur :

OUP Oxford

Paru le : 2013-07-25

Classical Mechanics is the oldest and best understood part of physics. This does not mean that it is cast in marble yet, a museum piece to be admired from a distance. Instead, mechanics continues to be an active area of research by physicists and mathematicians. Every few years, we need to re-evalua...
Voir tout
Ce livre est accessible aux handicaps Voir les informations d'accessibilité
Ebook téléchargement , DRM LCP 🛈 DRM Adobe 🛈
Compatible lecture en ligne (streaming)
35,23 €
Ajouter à ma liste d'envies
Téléchargement immédiat
Dès validation de votre commande
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

badge apple Application Louise Reader
badge Android Application Louise Reader

Description du livre

Classical Mechanics is the oldest and best understood part of physics. This does not mean that it is cast in marble yet, a museum piece to be admired from a distance. Instead, mechanics continues to be an active area of research by physicists and mathematicians. Every few years, we need to re-evaluate the purpose of learning mechanics and look at old material in the light of modern developments. Once you have learned basic mechanics (Newton's laws, the solution of the Kepler problem) and quantum mechanics (the Schrödinger equation, hydrogen atom) it is time to go back and relearn classical mechanics in greater depth. It is the intent of this book to take you through the ancient (the original meaning of "classical ") parts of the subject quickly: the ideas started by Euler and ending roughly with Poincare. We then take up the developments of twentieth century physics that have largely to do with chaos and discrete time evolution (the basis of numerical solutions). Along the way you will learn about elliptic functions and their connection to the Arithmetico-Geometric-Mean; Einstein's calculation of the perihelion shift of Mercury; that spin is really a classical phenomenon; how Hamilton came very close to guessing wave mechanics when he developed a unified theory of optics and mechanics; how Riemannian reometry is useful to understand the impossibility of long range weather prediction; why the maximum of the potential is a stable point of equilibrium in certain situations; the similarity of the orbits of particles in atomic traps and of the Trojan asteroids; about Julia sets and the Mandelblot; what Feigenbaum constants are and how Newton's iterations help establish the Kolmogorov-Arnold-Moser theorem. By the end you should be ready to absorb modern research in mechanics.

À propos

Auteur
S. G. Rajeev
Éditeur
OUP Oxford
Collection
n.c
Parution
2013-07-25
Pages
184 pages
EAN papier
9780191649875

Auteur(s) du livre


Defaut-Illustration S. G. Rajeev
Prof. Rajeev received his B.Sc. in Physics from the University of Kerala, Trivandrum, India (1979), and his Ph.D. in Physics from Syracuse University (1984). He was a postdoctoral fellow at the Massachusetts Institute of Technology (1984-87) before joining the University of Rochester as an Assistant Professor of Physics in 1987. He was promoted to Associate Professor in 1993 and to Professor in 2000. Prof. Rajeev has held visiting appointments at the Institute for Advanced Study, Princeton (1991), the Research Institute for Theoretical Physics, Helsinki (1991), and the Mittag-Leffler Institute, Stockholm (1998).

Caractéristiques détaillées - droits

EAN PDF
9780191649875
Prix
35,23 €
Nombre pages copiables
0
Nombre pages imprimables
0
Taille du fichier
1300 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

Suggestions personnalisées