Name: Continuous Nowhere Differentiable Functions: The Monsters of Analysis (en Inglés)
SKU: 58804346
Price: 129.69 USD
Availability: InStock
Author: Jarnicki, Marek ; Pflug, Peter
ISBN: 9783319791838

portada Continuous Nowhere Differentiable Functions: The Monsters of Analysis (en Inglés)

Continuous Nowhere Differentiable Functions: The Monsters of Analysis (en Inglés)

Formato

Libro Físico

Autor

Marek Jarnicki

Peter Pflug

Editorial

Springer

Idioma

Inglés

N° páginas

299

Encuadernación

Tapa Blanda

ISBN13

9783319791838

Categorías

Análisis funcional y transformaciones

Continuous Nowhere Differentiable Functions: The Monsters of Analysis (en Inglés)

Marek Jarnicki (Autor) · Peter Pflug (Autor) · Springer · Tapa Blanda

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Reseña del libro "Continuous Nowhere Differentiable Functions: The Monsters of Analysis (en Inglés)"

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.