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portada Integral Measure and Derivative: A Unified Approach (Dover Books on Mathematics)
Type
Physical Book
Author
Publisher
Year
1978
Language
English
Pages
254
Format
Paperback
Dimensions
20.9 x 14.3 x 1.3 cm
Weight
0.23 kg.
ISBN
0486635198
ISBN13
9780486635194
Categories

Integral Measure and Derivative: A Unified Approach (Dover Books on Mathematics)

G. E. Shilov (Author) · B. L. Gurevich (Author) · Dover Publications · Paperback

Integral Measure and Derivative: A Unified Approach (Dover Books on Mathematics) - Shilov, G. E. ; Gurevich, B. L.

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Synopsis "Integral Measure and Derivative: A Unified Approach (Dover Books on Mathematics) "

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.

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