Link Download ebook Free: https://ouo.io/SHshEysu Integral, Measure and Derivative By: G. E. Shilov Publisher: Dover Publications Print ISBN: 9780486635194, 0486635198 eText ISBN: 9780486165615, 0486165612 Pages: 256 Format: EPUB Available from $ 14.95 USD SKU 9780486165615 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.
