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Measure and Integral : An Introduction to Real Analysis, Second Edition

By: (Author) Richard L. Wheeden

Manufacture on Demand

Ksh 21,550.00

Format: Hardback or Cased Book

ISBN-10: 1498702899

ISBN-13: 9781498702898

Edition Number: 2

Series: Chapman & Hall/CRC Pure and Applied Mathematics

Publisher: Taylor & Francis Inc

Imprint: Chapman & Hall/CRC

Country of Manufacture: US

Country of Publication: GB

Publication Date: Apr 24th, 2015

Print length: 536 Pages

Weight: 918 grams

Dimensions (height x width x thickness): 24.20 x 16.40 x 3.20 cms

Product Classification: Real analysis, real variables
Applied mathematics

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This classic text provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space.

Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.

Published nearly forty years after the first edition, this long-awaited Second Edition also:

  • Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 < p < 2
  • Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case
  • Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of Hölder continuous functions and the space of functions of bounded mean oscillation
  • Derives a subrepresentation formula, which in higher dimensions plays a role roughly similar to the one played by the fundamental theorem of calculus in one dimension
  • Extends the subrepresentation formula derived for smooth functions to functions with a weak gradient
  • Applies the norm estimates derived for fractional integral operators to obtain local and global first-order Poincaré–Sobolev inequalities, including endpoint cases
  • Proves the existence of a tangent plane to the graph of a Lipschitz function of several variables
  • Includes many new exercises not present in the first edition

This widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians.

Get Measure and Integral by at the best price and quality guranteed only at Werezi Africa largest book ecommerce store. The book was published by Taylor & Francis Inc and it has pages. Enjoy Shopping Best Offers & Deals on books Online from Werezi - Receive at your doorstep - Fast Delivery - Secure mode of Payment

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