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Aimed at advanced undergraduates with background knowledge of
classical mechanics and electricity and magnetism, this textbook
presents both the particle dynamics relevant to general relativity,
and the field dynamics necessary to understand the theory. Focusing
on action extremization, the book develops the structure and
predictions of general relativity by analogy with familiar physical
systems. Topics ranging from classical field theory to minimal
surfaces and relativistic strings are covered in a homogeneous
manner. Nearly 150 exercises and numerous examples throughout the
textbook enable students to test their understanding of the
material covered. A tensor manipulation package to help students
overcome the computational challenge associated with general
relativity is available on a site hosted by the author. A link to
this and to a solutions manual can be found at
www.cambridge.org/9780521762458.
There is an increasing need for undergraduate students in physics
to have a core set of computational tools. Most problems in physics
benefit from numerical methods, and many of them resist analytical
solution altogether. This textbook presents numerical techniques
for solving familiar physical problems where a complete solution is
inaccessible using traditional mathematical methods. The numerical
techniques for solving the problems are clearly laid out, with a
focus on the logic and applicability of the method. The same
problems are revisited multiple times using different numerical
techniques, so readers can easily compare the methods. The book
features over 250 end-of-chapter exercises. A website hosted by the
author features a complete set of programs used to generate the
examples and figures, which can be used as a starting point for
further investigation. A link to this can be found at
www.cambridge.org/9781107034303.
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