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Item Details
| Title:
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MEASURE AND INTEGRAL
AN INTRODUCTION TO REAL ANALYSIS |
| By: |
Richard L. Wheeden |
| Format: |
Hardback |
| List price:
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£115.00 |
| Our price: |
£109.25 |
| Discount: |
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| You save:
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£5.75 |
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| ISBN 10: |
1498702899 |
| ISBN 13: |
9781498702898 |
| Availability: |
Usually dispatched within 3-5 days.
 Delivery
rates
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| Stock: |
Currently 2 available |
| Publisher: |
TAYLOR & FRANCIS INC |
| Pub. date: |
1 January, 2015 |
| Edition: |
2nd Revised edition |
| Series: |
Chapman & Hall/CRC Pure and Applied Mathematics 308 |
| Pages: |
532 |
| Synopsis: |
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 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 Holder 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 Poincare-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. |
| Illustrations: |
8 black & white illustrations |
| Publication: |
US |
| Imprint: |
Productivity Press |
| Returns: |
Returnable |
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