apropos 发表于 2025-3-23 10:55:59

Variational principlesIn this chapter we show that the motions of a newtonian potential system are extremals of a variational principle, “Hamilton’s principle of least action.”

使隔离 发表于 2025-3-23 17:24:45

http://reply.papertrans.cn/63/6263/626282/626282_12.png

阻塞 发表于 2025-3-23 19:08:03

http://reply.papertrans.cn/63/6263/626282/626282_13.png

cunning 发表于 2025-3-24 01:57:21

Symplectic manifoldsA symplectic structure on a manifold is a closed nondegenerate differential 2-form. The phase space of a mechanical system has a natural symplectic structure.

无情 发表于 2025-3-24 03:43:20

http://reply.papertrans.cn/63/6263/626282/626282_15.png

保全 发表于 2025-3-24 10:00:59

http://reply.papertrans.cn/63/6263/626282/626282_16.png

轻而薄 发表于 2025-3-24 14:31:19

http://reply.papertrans.cn/63/6263/626282/626282_17.png

固执点好 发表于 2025-3-24 17:16:16

Introduction to perturbation theoryetely solvable “unperturbed” problems. These methods can be easily justified if we are investigating motion over a small interval of time. Relatively little is known about how far we can trust the conclusions of perturbation theory in investigating motion over large or infinite intervals of time.

Galactogogue 发表于 2025-3-24 22:50:32

https://doi.org/10.1007/978-1-4757-2063-1Lagrangian mechanics; Mathematische Physik; Mechanik; Rigid body; Vector field; classical mechanics; diffe

下边深陷 发表于 2025-3-25 02:16:32

http://reply.papertrans.cn/63/6263/626282/626282_20.png
页: 1 [2] 3 4 5
查看完整版本: Titlebook: Mathematical Methods of Classical Mechanics; V. I. Arnold Textbook 1989Latest edition Springer-Verlag New York 1989 Lagrangian mechanics.M