TY  - GEN
T1  - Essentials of integration theory for analysis
T2  - Graduate texts in mathematics
A1  - Stroock, Daniel W.
LA  - English
PP  - New York, New York
PB  - Springer New York
YR  - 2011
UL  - https://tuklas.up.edu.ph/Record/UP-99796217611212289
AB  - Essentials of Integration Theory for Analysis is a substantial revision of the best-selling Birkhäuser title by the same author,  A Concise Introduction to the Theory of Integration. Highlights of this new textbook for the GTM series include revisions to Chapter 1 which add a section about the rate of convergence of Riemann sums and introduces a discussion of the Euler?MacLauren formula.  In Chapter 2, where Lebesque?s theory is introduced, a construction of the countably additive measure is done with sufficient generality to cover both Lebesque and Bernoulli  measures. Chapter 3 includes a proof of Lebesque?s differential theorem for all monotone functions and the concluding chapter has been expanded to include a proof of Carathéory?s  method for constructing measures and his result is applied to the construction of the Hausdorff measures. This new gem is appropriate as a text for a one-semester graduate course in integration theory and is complimented by the addition of several problems related to the new material.  The text is also highly useful for self-study. A complete solutions manual is available for instructors who adopt the text for their courses.
OP  - 243
NO  - "A substantial revision of ... [the author's] A concise introduction to the theory of integration ... appropriate as a text for a one-semester graduate course in integration theory"--Back cover.
SN  - 9781461411352 (eBook)
SN  - 1461411351 (eBook)
KW  - Integrals, Generalized.
KW  - Measure theory.
KW  - Fourier analysis.
KW  - Integration, Functional.
KW  - Mathematical analysis.
ER  -