This book provides a description of classical mechanics, starting with the classic formulations of point particle motion. It wasn't until classical mechanics was already well established that it was realized that there are two domains for motion in many systems: non-chaotic; and chaotic. This is a modern exposition of classical mechanics, thus including chaos theory, and including ties to later theoretical developments as well. The exposition consists, throughout, of the presentation of interesting problems with many solved ...
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This book provides a description of classical mechanics, starting with the classic formulations of point particle motion. It wasn't until classical mechanics was already well established that it was realized that there are two domains for motion in many systems: non-chaotic; and chaotic. This is a modern exposition of classical mechanics, thus including chaos theory, and including ties to later theoretical developments as well. The exposition consists, throughout, of the presentation of interesting problems with many solved, the others left for the reader. The problems are drawn from classical mechanics and mathematics courses taken at Caltech, Oxford, and the University of Wisconsin. The courses range from undergraduate level to advanced graduate level. The courses had a rich and sophisticated selection of textbook and reference material, as you might expect, and those reference texts are, similarly, drawn on here. As we progress through the material we will see that we are effectively studying ordinary differential equations (ODEs) of increasing complexity (corresponding to more complicated pendulum motion, for example, such as by adding a frictional force). This strong alignment with the underlying mathematics of ODEs motivates the placement of an appendix for a quick review of ODEs from the applied mathematics perspective. In addition to a modern exposition of the underlying ODE theory, with chaos included, the other main modern elements are to indicate where the classical mechanics theory can bridge into the theories yet to come, such as quantum mechanics and Special Relativity. There are five theoretical implementation areas of Classical Mechanics where Quantum Mechanics is trivially indicated (by analytic extension/continuation, or by algebraic modification from abelian to non-abelian), and such areas are described in detail. Similarly, there are three areas of experimental application where Special Relativity is indicated, that are also described.
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Add this copy of Classical Mechanics and Chaos: Book 1 of Physics from to cart. $71.10, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Golden Tao Publishing.
Add this copy of Classical Mechanics and Chaos: Book 1 of Physics from to cart. $83.21, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2023 by Golden Tao Publishing.
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Fine. Sewn binding. Cloth over boards. 288 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Classical Mechanics and Chaos: Book 1 of Physics from to cart. $84.06, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2023 by Golden Tao Publishing.
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New. Sewn binding. Cloth over boards. 288 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.