Goldstein Mechanics Pdf3/21/2021
Both are at the introductory graduate physics level, and try to be self contained but practically rely on some exposure to hamiltonians and lagrangians, and mastery over special relativity.Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource.Explain the nature of the resource so that readers can decide which one is best suited for them rather than relying on the opinions of others.Answers containing only a reference to a book or paper will be removed.
Landau Lifshitz is insightful, but Id suggest it only if youre specifically interested in the mathematical framework of classical mechanics. Goldstein is also like this, except it has more exercises and has room to cover certain topics in more detail (its a textbook, rather than a set of lecture notes). In fact it does not mention it, but the whole book is written on basis of the relation between symmetry and conservation laws. Moreover it does not follow a historical construction of classical mechanics, it simply starts with the Hamilton principle as a postulate. This is the book to read after you already have a good grasp of what classical mechanics is. It does follow a logical and historical construction, starting from the dAlembert principle. It is a shame though that it does not obtain Hamilton Principle from dAlembert Principle. It has very good examples and very good (and difficult) exercises. In my opinion is the best choice to use on a standard course on classical mechanics. Goldstein), but equally not well suited as a stand-alone text. Anyway, I think the best bibliography someone can have on classical mechanics is Goldstein, Landau, Lanczos and Arnold. Calkin is a smaller digest but does an extremely good job with Hamilton-Jacobi and related material, including KAM. Both are at the level of Goldstein, less encyclopedic but much more modern. The basic text is a bit old but it does have its moments, and the authors added to the basic text with an additional shorter supplement focused on non-linear mechanics. Actually, if you dont already have mastery over basic Lagrangian and Hamiltonian physics (for example, if you cannot derive the Euler-Lagrange equations from the principle of least action, or if you cannot perform a Legendre transformation on a given Hamiltonian), I recommend The Theoretical Minimum: What You Need to Know to Start Doing Physics. The first half of the book will be way too basic for someone who already knows Maxwells equations, but the second half is perfect. Once youre confident with Hamiltonians, you can move straight to quantum mechanics, no need to dally on Goldstein. Likewise the Feynman lectures recommended in the comments are first or second year undergraduate introductions to subjects, and maybe are not what youre looking for. Goldstein (chapter 7 if I recall correctly) then allows you to derive lots of great more difficult consequences of special relativity. Goldstein also covers this, and LLs second book Classical Field Theory is great here, too.
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