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Integral, Measure and Derivative: A Unified Approach by G.E. Shilov & B.L. Gurevich

Secondhand paperback good condition. Published by Dover Publications, 1977. This graduate-level textbook presents a unified approach to functions of a real variable using the Daniell scheme as an alternative to traditional methods. It begins with the integral, progressing from Riemann integrals to the general Lebesgue integral in n-space, then constructs the Lebesgue-Stieltjes integral and develops measure theory. The final part covers the theory of the derivative, featuring numerous problems with hints and answers.

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