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Real and Functional Analysis [r-libre/2169]

Morneau-Guérin, Frédéric (2021). Real and Functional Analysis [review of the book from Bogachev, Vladimir I., & Smolyanov, Oleg G.]. MAA Reviews.

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Content : Draft Version
Item Type: Book Reviews
Refereed: Yes
Status: Published
Abstract: Going through Real & Functional Analysis, one has the impression that the book results from a very successfully completed graft of the branches of Functional Analysis with the choicest fruits in the rich root network of Real & Complex Analysis. The authors, Bogachev and Smolyanov, have succeeded in providing a modern and highly informative description of all the material traditionally covered in the context of a real and functional analysis course spread out over two sessions and intended for graduate students. The “Supplemental” sections that conclude each of the chapters as well as certain of the final chapters presenting results considered more advanced contain sufficient material to allow this text to be used as a reference manual for a more in-depth course that would extend over three sessions. However, it should be noted that the subject matter pushed back to these additional sections is compiled in a somewhat more disorderly fashion than the material that makes up the core of the text.
Additional Information: Permission to make copies of individual articles, in paper or electronic form, including posting on personal and class web pages, for educational and scientific use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear the following copyright notice: [Copyright the Mathematical Association of America 2021. All rights reserved.] Abstracting with credit is permitted. To copy otherwise or to republish, requires specific permission of the MAA's Director of Publications Operations and possibly a fee.
Official URL: https://www.maa.org/press/maa-reviews/real-and-fun...
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 25 Jan 2021 14:23
Last Modified: 13 Mar 2021 20:12

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