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Mathematical Physics with Partial Differential Equations (Paperback, 2nd edition)
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Mathematical Physics with Partial Differential Equations (Paperback, 2nd edition)
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Mathematical Physics with Partial Differential Equations, Second
Edition, is designed for upper division undergraduate and beginning
graduate students taking mathematical physics taught out by math
departments. The new edition is based on the success of the first,
with a continuing focus on clear presentation, detailed examples,
mathematical rigor and a careful selection of topics. It presents
the familiar classical topics and methods of mathematical physics
with more extensive coverage of the three most important partial
differential equations in the field of mathematical physics-the
heat equation, the wave equation and Laplace's equation. The book
presents the most common techniques of solving these equations, and
their derivations are developed in detail for a deeper
understanding of mathematical applications. Unlike many
physics-leaning mathematical physics books on the market, this work
is heavily rooted in math, making the book more appealing for
students wanting to progress in mathematical physics, with
particularly deep coverage of Green's functions, the Fourier
transform, and the Laplace transform. A salient characteristic is
the focus on fewer topics but at a far more rigorous level of
detail than comparable undergraduate-facing textbooks. The depth of
some of these topics, such as the Dirac-delta distribution, is not
matched elsewhere. New features in this edition include: novel and
illustrative examples from physics including the 1-dimensional
quantum mechanical oscillator, the hydrogen atom and the rigid
rotor model; chapter-length discussion of relevant functions,
including the Hermite polynomials, Legendre polynomials, Laguerre
polynomials and Bessel functions; and all-new focus on complex
examples only solvable by multiple methods.
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