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Modern Analytic Mechanics (Paperback, Softcover reprint of hardcover 1st ed. 1999)
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Modern Analytic Mechanics (Paperback, Softcover reprint of hardcover 1st ed. 1999)
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By modern analytic mechanics we mean the classical mechanics of
today, that is, the mechanics that has proven particularly useful
in understanding the universe as we experience it from the solar
system, to particle accelerators, to rocket motion. The
mathematical and numerical techniques that are part of this
mechanics that we present are those that we have found to be
particularly productive in our work in the subject. The balance of
topics in this book is somewhat different from previous texts. We
emphasize the use of phase space to describe the dynamics of a
system and to have a qualitative understanding of nonlinear
systems. We incorporate exercises that are to be done using a
computer to solve linear and nonlinear problems and to have a
graphical representation of the results. While analytic solutions
of physics problems are to be prefer. red, it is not always
possible to find them for all problems. When that happens,
techniques other than analysis must be brought to bear on the
problem. In many cases numerical treatments are useful in
generating solutions, and with these solutions often come new
insights. These insights can sometimes be used for making further
analytic progress, and often the process is iterative. Thus the
ability to use a computer to solve problems is one of the tools of
the modern physicist. Just as analytic problem-solving enhances the
student's understanding of physics, so will using the computer
enhance his or her appreciation of the subject.
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