Real Analysis. 2nd ed. 2016

種類:

電子ブック

責任表示:

by Emmanuele DiBenedetto

出版情報:

New York, NY : Springer New York : Imprint: Birkhäuser, 2016

著者名:

• DiBenedetto, Emmanuele.
• SpringerLink (Online service)

シリーズ名:

Birkhäuser Advanced Texts Basler Lehrbücher ;

ISBN:

9781493940059 [1493940058]    

注記:

The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. Each chapter features a “Problems and Complements” section that includes additional material that briefly expands on certain topics within the chapter and numerous exercises for practicing the key concepts. The first eight chapters explore all of the basic topics for training in real analysis, beginning with a review of countable sets before moving on to detailed discussions of measure theory, Lebesgue integration, Banach spaces, functional analysis, and weakly differentiable functions. More topical applications are discussed in the remaining chapters, such as maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and t

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