Bob Ross the Joy of Painting: Winter Glory [DVD] [Region 1] [US Import] [NTSC] by Bob Sin

Bob Ross the Joy of Painting: Winter Glory [DVD] [Region 1] [US Import] [NTSC] by Bob Sin

This elegant book presents a rigorous introduction to the theory of nonlinear mechanics and chaos. It turns out that many simple mechanical systems suffer from a peculiar malady. They are deterministic in the sense that their motion can be described with partial differential equations, but these equations have no proper solutions and the behavior they describe can be wildly unpredictable. This is implicit in Newtonian physics, and although it was analyzed in the pioneering work of Poincar in the 19th century, its full significance has only been realized since the advent of modern computing. This book follows this development in the context of classical mechanics as it is usually taught in most graduate programs in physics. It starts with the seminal work of Laplace, Hamilton, and Liouville in the early 19th century and shows how their formulation of mechanics inevitably leads to systems that cannot be 'solved' in the usual sense of the word. It then discusses perturbation theory which, rather than providing approximate solutions, fails catastrophically due to the problem of small denominators. It then goes on to describe chaotic motion using the tools of discrete maps and Poincar sections. This leads to the two great landmarks of chaos theory, the Poincar -Birkhoff theorem and the so-called KAM theorem, one of the signal results in modern mathematics. The book concludes with an appendix discussing the relevance of the KAM theorem to the ergodic hypothesis and the second law of thermodynamics.Lectures on Nonlinear Mechanics and Chaos Theory is written in the easy conversational style of a great teacher. It features numerous computer-drawn figures illustrating the behavior of nonlinear systems. It also contains homework exercises and a selection of more detailed computational projects. The book will be valuable to students and faculty in physics, mathematics, and engineering.See Press Release: Problems in mechanics open the door to the orderly world of chaos

SKU	DVDB0013H3JV6VG
EAN	0720867010027
Title	Bob Ross the Joy of Painting: Winter Glory [DVD] [Region 1] [US Import] [NTSC]
Format	NTSC
Region Code	0
Running time	658
Studio	Art Traders
Condition	Very Good
Note	Your item will be previously owned but still in great condition. The disc will play perfectly without interruption and the case, inlay notes and sleeve may show limited signs of wear.