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Mathematical Physics with Differential Equations (Paperback)
Loot Price: R1,313
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Mathematical Physics with Differential Equations (Paperback)
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Traditional literature in mathematical physics is clustered around
classical mechanics, especially fluids and elasticity. This book
reflects the modern development of theoretical physics in the areas
of field theories: classical, quantum, and gravitational, in which
differential equations play essential roles and offer powerful
insight. Yang here presents a broad range of fundamental topics in
theoretical and mathematical physics based on the viewpoint of
differential equations. The subject areas covered include classical
and quantum many-body problems, thermodynamics, electromagnetism,
magnetic monopoles, special relativity, gauge field theories,
general relativity, superconductivity, vortices and other
topological solitons, and canonical quantization of fields, for
which knowledge and use of linear and nonlinear differential
equations are essential for comprehension. Much emphasis is given
to the mathematical and physical content offering an appreciation
of the interplay of mathematics and theoretical physics from the
viewpoint of differential equations. Advanced methods and
techniques of modern nonlinear functional analysis are kept to a
minimum and each chapter is supplemented with a collection of
exercises of varied depths making it an ideal resource for students
and researchers alike.
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