Lecture Notes in Real Analysis

Häftad, Engelska, 2018

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This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation. Illustrations, examples, and exercises are included that present Lebesgue integrals, measure theory, and topological spaces in an original and more accessible way, making difficult concepts easier for students to understand. This text can be used as a supplementary resource or for individual study.

Produktinformation

Utgivningsdatum2018-11-29
Mått155 x 235 x undefined mm
FormatHäftad
SpråkEngelska
SerieCompact Textbooks in Mathematics
Antal sidor207
FörlagBirkhauser Verlag AG
ISBN9783319989556

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Beräkning och matematisk analys inom Naturvetenskap och teknik

“The presentation of the chosen material is precise and intuitive. … This concise textbook may be useful for students in their self-learning, and for teachers who prepare systematic lectures on real analysis.” (Marek Balcerzak, Mathematical Reviews, July, 2019)“The resulting book, that also features several examples and exercise problems to illustrate key concepts, is very clear and pleasant to read. In my opinion, the author fully successes in, using his own words, ‘helping students to see that the Lebesgue measure and integration, and therefore the general measure theory, come naturally from the process of fixing the flaws of Riemann integrals’.” (Emma D’Aniello, zbMATH 1423.26003, 2019)