Weierstrass and Blancmange nowhere differentiable functions, Lebesgue integrable functions with everywhere divergent Fourier series, and various nonintegrable Lebesgue measurable functions. While dubbed strange or "pathological," these functions are ubiquitous throughout mathematics and play an important role in analysis, not only as counterexamples of seemingly true and natural statements, but also to stimulate and inspire the further development of real analysis.
Strange Functions in Real Analysis explores a number of important...
"The book is written with clear and understandable language and its accessible even for graduate students." -- Zentralblatt fur Mathematik, 2000
"...devised to be a handbook for analysts but it can also be useful to the investigators of structural problems." -- Chem. Anal
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