Integral, Measure, and Derivative: A Unified Approach

 
9780134689265: Integral, Measure, and Derivative: A Unified Approach

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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Text: English, Russian (translation)

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G.E. Shilov and B.L. Gurevich; Translate
Published by Prentice Hall (1966)
ISBN 10: 0134689267 ISBN 13: 9780134689265
New Hardcover Quantity Available: 1
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Murray Media
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Book Description Prentice Hall, 1966. Hardcover. Book Condition: New. Bookseller Inventory # P110134689267

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