Strange Functions in Real Analysis, Second Edition (Pure & Applied Mathematics) - Hardcover

Kharazishvili, Alexander

Hardcover

ISBN 10: 0824703200 ISBN 13: 9780824703202

Publisher: CRC Press, 2000

Synopsis

This volume aims to explicate extraordinary functions in real analysis and their applications. It examines the Baire category method, the Zermelo-Fraenkel set, the Axiom of Dependent Choices, Cantor and Peano type functions, the Continuum Hypothesis, everywhere differentiable nowhere monotone functions, and Jarnik's nowhere approximately differentiable functions.

About this title

Review

"This book is devoted to strange (or singular) objects in various fields of mathematics, or, in other words, its' monsters and freaks'....The author is well-known due to his studies in this field and the book is based on his course of lectures given at the Institute of Applied Mathematics of Tbilisi State University in 1998-1999 academic year. One can see that this book is interesting for a wide circle of mathematicians who work in analysis and close branches of mathematics, as specialists as well as beginners. The book is written with clear and understandable language and is accessible even for graduate students." ---Zentralblatt fur Mathematik, 2000

Edition details

• Publisher: CRC Press
• Publication date: 2000
• Language: English
• ISBN 10: 0824703200
• ISBN 13: 9780824703202
• Binding: Hardcover
• Edition number: 1
• Number of pages: 314