Classical Mechanics and Chaos - Chinese Simplified Translation / 经典力学与混沌: Book 1 of Physics from Maxi
Hardcover
General MathematicsGeneral Science
Publisher: Golden Tao Publishing
Published: Aug 28 2026
Pages: 374
Weight: 1.47
Height: 0.88 Width: 6.00 Depth: 9.00
Language: Chinese
This is a Chinese Simplified translation from the English original.
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 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 ordinary differential equations motivates the placement of an appendix for a quick review of ordinary differential equations from the applied mathematics perspective.
In addition to a modern exposition of the underlying ordinary differential equation 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.
这是从英文原文翻译而来。
本书从经典质点运动的经典公式入手,对经典力学进行了阐述。直到经典力学体系发展成熟后,人们才意识到许多系统中的运动存在两个领域:非混沌运动和混沌运动。本书是对经典力学的现代阐释,因此涵盖了混沌理论,并与后来的理论发展有所关联。全书贯穿始终地呈现了一些有趣的习题,其中许多习题已得到解答,其余的则留给读者自行探索。这些习题均取材于作者在加州理工学院、牛津大学和威斯康星大学修读的经典力学和数学课程,课程难度涵盖本科到研究生各个阶段。正如您所料,这些课程使用了丰富而精深的教材和参考资料,本书也同样借鉴了这些参考书。随着学习的深入,我们将发现,我们实际上是在研究越来越复杂的常微分方程(例如,对应于更复杂的摆运动,比如通过添加摩擦力)。由于与常微分方程的基本数学原理高度契合,因此我们特意添加了一个附录,从应用数学的角度对常微分方程进行快速回顾。
除了对包含混沌在内的基本常微分方程理论进行现代阐述之外,其他主要现代内容还在于指出经典力学理论如何与量子力学和狭义相对论等未来理论相衔接。经典力学的五个理论应用领域可以很容易地与量子Ó
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