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Lecture notes in real analysis

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Lecture notes in real analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lecture notes in real analysis/ by Xiaochang Wang.
作者:	Wang, Xiaochang.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xiii, 207 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-3-319-98956-3
ISBN:	9783319989563

Lecture notes in real analysis
Wang, Xiaochang.

Lecture notes in real analysis[electronic resource] /by Xiaochang Wang. - Cham :Springer International Publishing :2018. - xiii, 207 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

Prologue -- Measures -- Integrations -- Signed Measures and Differentiation -- Topology: A Generalization of Open Sets -- Elements of Functional Analysis -- Lp Spaces.

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.

ISBN: 9783319989563

Standard No.: 10.1007/978-3-319-98956-3doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA300 / .W364 2018

Dewey Class. No.: 515

Lecture notes in real analysis
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245 1 0 $a Lecture notes in real analysis $h [electronic resource] / $c by Xiaochang Wang.
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490 1 $a Compact textbooks in mathematics, $x 2296-4568
505 0 $a Prologue -- Measures -- Integrations -- Signed Measures and Differentiation -- Topology: A Generalization of Open Sets -- Elements of Functional Analysis -- Lp Spaces.
520 $a 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.
650 0 $a Mathematical analysis. $3 527926
650 1 4 $a Real Functions. $3 672094
650 2 4 $a Measure and Integration. $3 672015
650 2 4 $a Functional Analysis. $3 672166
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830 0 $a Compact textbooks in mathematics. $3 1069870
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950 $a Mathematics and Statistics (Springer-11649)

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