| 书目名称 | Real Analysis | | 副标题 | Series, Functions of | | 编辑 | Miklós Laczkovich,Vera T. Sós | | 视频video | | | 概述 | Corresponds to a second course in real analysis to follow the authors‘ book Real Analysis: Foundations and Functions of One Variable.Motivates ideas and results in analysis by exploring concepts and a | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, .Real Analysis: Foundations and Functions of One Variable.. Together, these volumes form the first English edition of the popular Hungarian original, .Valós Analízis I & II., based on courses taught by the authors at Eötvös Loránd University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading..Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables; infinite numerical series; sequences and series of functions; and applications to other areas of mathematics. Many historical notes are given and there is an emphasis on conceptual understanding an | | 出版日期 | Textbook 2017 | | 关键词 | Continuity of functions; History of Fourier series; History of infinite series; Limit of functions; Real | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-7369-9 | | isbn_softcover | 978-1-4939-8464-0 | | isbn_ebook | 978-1-4939-7369-9Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media LLC 2017 |
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发表于 2025-3-21 17:12:29
