This concise, well-written handbook provides a distillation of
real variable theory with a particular focus on the subject's
significant applications to differential equations and Fourier
analysis. Ample examples and brief explanations---with very few
proofs and little axiomatic machinery---are used to highlight all
the major results of real analysis, from the basics of sequences
and series to the more advanced concepts of Taylor and Fourier
series, Baire Category, and the Weierstrass Approximation Theorem.
Replete with realistic, meaningful applications to differential
equations, boundary value problems, and Fourier analysis, this
unique work is a practical, hands-on manual of real analysis that
is ideal for physicists, engineers, economists, and others who wish
to use the fruits of real analysis but who do not necessarily have
the time to appreciate all of the theory. Valuable as a
comprehensive reference, a study guide for students, or a quick
review, "A Handbook of Real Variables" will benefit a wide
audience.
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