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Integral, Measure and Derivative: A Unified Approach

Door G.E Shilov e.a.

Categorie
Algemeen wetenschap
Boeknummer
#341042-ZA17
Titel
Integral, Measure and Derivative: A Unified Approach
Auteur
Shilov, G.E & Gurevich, B.L.
Boektype
Paperback
Uitgeverij
New York : Dover Publications
Jaar van uitgave
1977
ISBN10
0486635198
ISBN13
9780486635194
Taal
Engels
Beschrijving
Paperback, illustrated with numerous equations, 8vo.
Samenvatting
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
... (Lees verder) 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.
Pagina's
233
Conditie
Goed — Name in pen on title page.
Prijs
€ 10,00

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