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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Continuous Nowhere Differentiable Functions - The Monsters of Analysis (Hardcover, 1st ed. 2015, Corr. 2nd printing 2018)
Loot Price: R3,859
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Continuous Nowhere Differentiable Functions - The Monsters of Analysis (Hardcover, 1st ed. 2015, Corr. 2nd printing 2018)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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This book covers the construction, analysis, and theory of
continuous nowhere differentiable functions, comprehensively and
accessibly. After illuminating the significance of the subject
through an overview of its history, the reader is introduced to the
sophisticated toolkit of ideas and tricks used to study the
explicit continuous nowhere differentiable functions of
Weierstrass, Takagi-van der Waerden, Bolzano, and others. Modern
tools of functional analysis, measure theory, and Fourier analysis
are applied to examine the generic nature of continuous nowhere
differentiable functions, as well as linear structures within the
(nonlinear) space of continuous nowhere differentiable functions.
To round out the presentation, advanced techniques from several
areas of mathematics are brought together to give a
state-of-the-art analysis of Riemann's continuous, and purportedly
nowhere differentiable, function. For the reader's benefit, claims
requiring elaboration, and open problems, are clearly indicated. An
appendix conveniently provides background material from analysis
and number theory, and comprehensive indices of symbols, problems,
and figures enhance the book's utility as a reference work.
Students and researchers of analysis will value this unique book as
a self-contained guide to the subject and its methods.
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