By S. G. Rajeev
Once you've discovered uncomplicated mechanics (Newton's legislation, the answer of the Kepler challenge) and quantum mechanics (the Schrödinger equation, hydrogen atom) it's time to return and relearn classical mechanics in higher intensity. it's the motive of this booklet to take you thru the traditional (the unique that means of "classical ") elements of the topic fast: the tips begun through Euler and finishing approximately with Poincare. We then absorb the advancements of 20th century physics that have
largely to do with chaos and discrete time evolution (the foundation of numerical solutions).
Along how you will find out about elliptic services and their connection to the Arithmetico-Geometric-Mean; Einstein's calculation of the perihelion shift of Mercury; that spin is mostly a classical phenomenon; how Hamilton got here very with reference to guessing wave mechanics whilst he built a unified idea of optics and mechanics; how Riemannian reometry comes in handy to appreciate the impossibility of lengthy diversity climate prediction; why the utmost of the aptitude is a good element of equilibrium in
certain events; the similarity of the orbits of debris in atomic traps and of the Trojan asteroids; approximately Julia units and the Mandelblot; what Feigenbaum constants are and the way Newton's iterations support identify the Kolmogorov-Arnold-Moser theorem. through the top you have to be able to take in modern
research in mechanics.
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Extra info for Advanced Mechanics: From Euler's Determinism to Arnold's Chaos
Advanced Mechanics: From Euler's Determinism to Arnold's Chaos by S. G. Rajeev