Integral, Measure and Derivative 积分测量导数统一法 G. E. Shilov

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98 98 九五品

库存3件

广东广州

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作者Shilov, G. E.

出版社Dover Publications

ISBN9780486635194

出版时间2015-10

装帧平装

开本其他

定价98元

货号YB-61894

上书时间2024-03-10

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This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. "The exposition is fresh and sophisticated," declared Sci-Tech Book News, "and will engage the interest of accomplished mathematicians." Part one is devoted to the integral, moving from the Reimann integral and step functions to a general theory, and obtaining the "classical" Lebesgue integral in n space. Part two constructs the Lebesgue-Stieltjes integral through the Daniell scheme using the Reimann-Stieltjes integral as the elementary integral. Part three develops theory of measure with the general Daniell scheme, and the final part is devoted to the theory of the derivative.