Integral, Measure and Derivative

A Unified Approach

Nonfiction, Science & Nature, Mathematics
Cover of the book Integral, Measure and Derivative by G. E. Shilov, B. L. Gurevich, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: G. E. Shilov, B. L. Gurevich ISBN: 9780486165615
Publisher: Dover Publications Publication: May 13, 2013
Imprint: Dover Publications Language: English
Author: G. E. Shilov, B. L. Gurevich
ISBN: 9780486165615
Publisher: Dover Publications
Publication: May 13, 2013
Imprint: Dover Publications
Language: English
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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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.

More books from Dover Publications

Cover of the book The Speculative Fiction of Mark Twain by G. E. Shilov, B. L. Gurevich
Cover of the book Early L. & J. G. Stickley Furniture by G. E. Shilov, B. L. Gurevich
Cover of the book 400 Traditional Tile Designs in Full Color by G. E. Shilov, B. L. Gurevich
Cover of the book An Economic Interpretation of the Constitution of the United States by G. E. Shilov, B. L. Gurevich
Cover of the book Inversive Geometry by G. E. Shilov, B. L. Gurevich
Cover of the book Bookbinding by G. E. Shilov, B. L. Gurevich
Cover of the book Optical and Geometrical Allover Patterns by G. E. Shilov, B. L. Gurevich
Cover of the book Mozart and His Piano Concertos by G. E. Shilov, B. L. Gurevich
Cover of the book Bookbinding: The Classic Arts and Crafts Manual by G. E. Shilov, B. L. Gurevich
Cover of the book The Riemann Zeta-Function by G. E. Shilov, B. L. Gurevich
Cover of the book Handbook of Ornament by G. E. Shilov, B. L. Gurevich
Cover of the book The European Mathematical Awakening by G. E. Shilov, B. L. Gurevich
Cover of the book Narrative of the Life of Henry Box Brown by G. E. Shilov, B. L. Gurevich
Cover of the book Modern Coin Magic by G. E. Shilov, B. L. Gurevich
Cover of the book The Art of Horsemanship by G. E. Shilov, B. L. Gurevich
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy