| 書(shū)目名稱(chēng) | Integration and Modern Analysis | | 編輯 | John J. Benedetto,Wojciech Czaja | | 視頻video | http://file.papertrans.cn/469/468785/468785.mp4 | | 概述 | Includes supplementary material: | | 叢書(shū)名稱(chēng) | Birkh?user Advanced Texts‘ Basler Lehrbücher | | 圖書(shū)封面 |  | | 描述 | This book is both a text and a paean to twentieth-century real variables, measure theory, and integration theory. As a text, the book is aimed at graduate students. As an exposition, extolling this area of analysis, the book is necessarily limited in scope and perhaps unnecessarily unlimited in id- syncrasy. More than half of this book is a fundamental graduate real variables course as we now teach it. Since there are excellent textbooks that generally cover the course material herein, part of this Preface renders an apologia for our content, presentation, and existence. The following section presents our syllabus properly liberated from too many demands. Subsequent sections dealwithoutline,theme,features,andtherolesofFourieranalysisandVitali, respectively. Mathematics is a creativeadventure drivenby beauty, structure, intrinsic mathematicalproblems,extrinsicproblemsfromengineeringandthesciences, and serendipity. This book treats integration theory and its fascinating creation through the past century. What about the rest of our title? “Analysis”is many subjects to many mathematicians.“Modern analysis” is hardly a constraint for a single volume such as ours; one can argue the oppos | | 出版日期 | Textbook 2009 | | 關(guān)鍵詞 | Complex variables; Distribution; Lebesgue differentiation theorem; Maximum; Measure theory; Real analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4656-1 | | isbn_ebook | 978-0-8176-4656-1Series ISSN 1019-6242 Series E-ISSN 2296-4894 | | issn_series | 1019-6242 | | copyright | Birkh?user Boston 2009 |
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