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Springer Essentials of Integration Theory for Analysis: 262 (Graduate Texts in Mathematics)

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Description
‘A Concise Introduction to the Theory of Integration’ was once a best-selling Birkhäuser 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 Carathéory'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.

Product Specifications
Brand
Springer
Format
paperback
ASIN
1461429889
Category
Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Real Analysis
Domain
Amazon UK
Publication Date
24 October 2013
Listed Since
13 September 2013

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