Integral Measure and Derivative

A Unified Approach

Georgi E. Shilov, Richard A. Silverman, Richard A. Silverman

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English

Dover Publications Inc.
17 May 2012

Mathematics & Sciences; Engineering measurement & calibration

Series: Dover Books on Mathema 1.4tics

"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."

By: Georgi E. Shilov, Richard A. Silverman
Volume editor: Richard A. Silverman
Imprint: Dover Publications Inc.
Country of Publication: United States
Edition: New edition
Dimensions: Height: 210mm, Width: 140mm, Spine: 15mm
Weight: 276g
ISBN: 9780486635194
ISBN 10: 0486635198
Series: Dover Books on Mathema 1.4tics
Pages: 256
Publication Date: 17 May 2012
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified

Georgi Evgen'evich Shilov (1917-75) was a Soviet mathematician and an expert in the field of functional analysis who contributed to the theory of normed rings and generalized functions. He is the author of five Dover books. B. L. Gurevich was a Soviet mathematician.