Integral, Measure and Derivative: A Unified Approach - G. E. Shilov

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Caracteristicile produsului Integral, Measure and Derivative: A

• Brand: G. E. Shilov
• Categoria: Mathematics
• Magazin: libris.ro
• Ultima actualizare: 15-12-2024 01:42:32

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Descriere magazin:
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.