Lecture Notes in Real Analysis. 1st ed. 2018

種類:

電子ブック

責任表示:

by Xiaochang Wang

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2018

著者名:

• Wang, Xiaochang.
• SpringerLink (Online service)

シリーズ名:

Compact Textbooks in Mathematics ;

ISBN:

9783319989563 [3319989561]    

注記:

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. .

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