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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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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