Integral Measure and Derivative: A Unified Approach
Language: English
Published by Dover Publications Inc., 2000
- Softcover
- Used
Seller: World of Books Inc, Montgomery, IL, U.S.A.World of Books Inc
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Condition: Used - Good
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Add to basketItem description from seller
Starting with the useful concept of an elementary integral defined (axiomatically) on a family of elementary functions, this treatment examines the general theory of the integral, Lebesque integral in n space, the Riemann-Stieltjes integral, and more. The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians. - Sci-Tech Book News. 1966 edition.
Seller Inventory # CIN0486635198G
- Title
- Integral Measure and Derivative: A Unified Approach
- Author
- Georgi E Shilov
- Publisher
- Dover Publications Inc.
- Publication year
- 2000
- Condition
- Good
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486635198
- ISBN 13
- 9780486635194
- Series
- Book 203 of 303: Dover Books on Mathematics
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.
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
World of Books Inc
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