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Item Details
Title:
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ESSENTIALS OF INTEGRATION THEORY FOR ANALYSIS
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By: |
Daniel W. Stroock |
Format: |
Hardback |
List price:
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£59.99 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
1461411343 |
ISBN 13: |
9781461411345 |
Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
Pub. date: |
2 August, 2011 |
Edition: |
2011 ed. |
Series: |
Graduate Texts in Mathematics 262 |
Pages: |
244 |
Description: |
Suitable for a one-semester graduate course in integration theory. |
Synopsis: |
'A Concise Introduction to the Theory of Integration' was once a best-selling Birkhauser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now includes a section about the rate of convergence of Riemann sums. The second chapter now covers both Lebesgue and Bernoulli measures, whose relation to one another is discussed. The third chapter now includes a proof of Lebesgue's differential theorem for all monotone functions. This is a beautiful topic which is not often covered. The treatment of surface measure and the divergence theorem in the fifth chapter has been improved. Loose ends from the discussion of the Euler-MacLauren in Chapter I are tied together in Chapter seven. Chapter eight has been expanded to include a proof of Caratheory's method for constructing measures; his result is applied to the construction of Hausdorff measures. The new material is complemented by the addition of several new problems based on that material. |
Illustrations: |
biography |
Publication: |
US |
Imprint: |
Springer-Verlag New York Inc. |
Returns: |
Returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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