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Exploring Classical Mechanics - A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition (Hardcover)
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Exploring Classical Mechanics - A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition (Hardcover)
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This new edition of a popular textbook offers an original
collection of problems in analytical mechanics. Analytical
mechanics is the first chapter in the study and understanding of
theoretical physics. Its methods and ideas are crucially important,
as they form the basis of all other branches of theoretical
physics, including quantum mechanics, statistical physics, and
field theory. Such concepts as the Lagrangian and Hamiltonian
formalisms, normal oscillations, adiabatic invariants, Liouville
theorem, and canonical transformations lay the foundation, without
which any further in-depth study of theoretical physics is
impossible. Wherever possible, the authors draw analogies and
comparisons with similar processes in electrodynamics, quantum
mechanics, or statistical mechanics while presenting the solutions
to the problems. The book is based on the authors' many years of
experience delivering lectures and seminars at the Department of
Physics at Novosibirsk State University - totalling an impressive
110+ years of combined teaching experience. Most of the problems
are original, and will be useful not only for those studying
mechanics, but also for those who teach it. The content of the book
corresponds to and roughly follows the mechanics course in the
well-known textbooks by Landau and Lifshitz, Goldstein, or ter
Haar. The Collection... starts with the Newtonian equations, motion
in a central field, and scattering. Then the text proceeds to the
established, traditional sections of analytical mechanics as part
of the course on theoretical physics: the Lagrangian equations, the
Noether theorem, linear and nonlinear oscillations, Hamilton
formalism, and motion of a solid body. As a rule, the solution of a
problem is not complete by just obtaining the required formulae.
It's necessary to analyse the result. This can be an interesting
process of discovery for the student and is by no means a
"mechanical'' part of the solution. It is also very useful to
investigate what happens if the conditions of the problem are
varied. With this in mind, the authors offer suggestions of further
problems at the end of several solutions. First published in 1969
in Russian, this text has become widely used in classrooms around
the world. It has been translated into several languages, and has
seen multiple editions in various languages.
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