商品詳細(参照) | Knowledge Worker

Strange Functions in Real Analysis, Second Edition( Vol. 229) H 314 p. 00

Kharazishvili, Alexander 　著

絶版
価格 \40,405（税込）

発行年月	2000年01月
出版社／提供元	CRC Press
出版国	アメリカ合衆国
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	314 p.
ジャンル	洋書／理工学／数学／応用数学
ISBN	9780824703202
商品コード	0209970682
本の性格	学術書
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209970682

内容

This volume aims to explicate extraordinary functions in real analysisand their applications. It includes examination of the Baire category method,the Zermelo-Fraenkel set, the Axiom of Dependent Choices, Cantor and Peanotype functions, and the Continuum Hypothesis.

Cantor and Peano type functions; singular monotone functions; everywhere differentiable nowhere monotone functions; nowhere approximately differentiable functions; Blumberg's theorem and Sierpinski-Zygmund function; Lebesgue nonmeasurable functions and functions without the Baire property; Hamel basis and Cauchy functional equation; Luzin sets, sierpinski's partition of the Euclidean plane; sup-measurable and weakly sup-measurable functions; ordinary differential equations with bad right-hand sides; nondifferentiable functions from the point of view of category and measure.