물리교재 A book on classical mechanics

[riemann]

Sorry again for writing in english, so please allow me.

After reading two questions below I want to introduce a book on classical mechanics. It is called "The mathematical method of Classical Mechanics." by V.I. arnold, one of great mathematician of 20th century. It is based on his undergraduate lectures to mathematics majors at, I believe, Moscow State University. It is truely a "must" for anyone who really want to understand what "classical" physics is about.

In his typical informal style he explains all the important concepts and techniques developed until early 20th century in very clear, concise way. Be aware, however, this book is not an easy reading, nor will help take the exam. Instead it explains the fundamental structure of classical physics: for example, Phase space, Caninical formalism, Hamilton-Jacobi Theory to name few.

It is also a great introduction to differential geometry.It gently introduce basic concepts like differentiable manifolds, grassman algebra, exterior derivatives, which all will be a bisis for learning Riemannian geometry, the mathematical foundation of General Relativity.

So, if you are interested in learning some deep structure in physics (and some math as a bonus), I really recommend this book for any serious undergraduate students.

Cheers,

[Er-M.P.]

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