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What Landau does here, and which in explicably very few Statistical Mechanics books do nowadays, is the full Gibbs Formalism. Not only is the Gibbs Formalism more compatible with Quantum Mechanics, it can also fits in beautifully with Ensemble Statistics and Inofrmation Theory. More over, it is at once clear Maxwell and Boltzmann statistics are only special cases of the Gibbs formalism, and can be easily shown in a few lines.
What Landau does, is to gave an elegant and cohesive view the trully fundamental features of Statistical Mechanics. Chapters 1-6 of this book alone displays a deeper level of understanding than whole books that have been written. If you are interested in Statistical Mechanics at all, this must be a centerpiece of your library.
You'll find in this book an impressive amount of details about Dau himself, about his world wide famous style as a physicist, his school on theoretical physics, the theoretical minimum, the relationship with his pupils, etc..
Above all, and the most important, you will find Dau own advice about what, when and how to study to become an eventual theoretical physicist in Landau's high professional tradition. It is a very nontrivial advice!
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Lastly regarding criticisms that this book does not tend itself to non-integrability and classical chaos I suppose these are justified statments, but considering that this book was never written with such goals in mind, the arguments are irrelevant. There are several excellent references available on such material(including a recently added section in Goldstein) which will satisfy people looking for such topics. But this volume should feature on the bookshelf of anyone that has any interest in classical mechanics and wishes to read the treatment of the subject by a master.
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