| 书目名称 | Mathematical Analysis II | | 编辑 | Vladimir A. Zorich | | 视频video | | | 概述 | Thoroughness of coverage, from elementary to very advanced.Clarity of exposition.Originality and variety of exercises and examples.Complete logical rigor of discussion.Various new appendices.Useful no | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .This secondEnglish edition of a very popular two-volume work presents a thorough firstcourse in analysis, leading from real numbers to such advanced topics asdifferential forms on manifolds; asymptotic methods; Fourier, Laplace, andLegendre transforms; elliptic functions; and distributions. Especially notablein this course are the clearly expressed orientation toward the naturalsciences and the informal exploration of the essence and the roots of the basicconcepts and theorems of calculus. Clarity of exposition is matched by a wealthof instructive exercises, problems, and fresh applications to areas seldomtouched on in textbooks on real analysis..The maindifference between the second and first English editions is the addition of aseries of appendices to each volume. There are six of them in the first volumeand five in the second. The subjects of these appendices are diverse. They aremeant to be useful to both students (in mathematics and physics) and teachers,who may be motivated by different goals. Some of the appendices are surveys,both prospective and retrospective. The final survey establishes importantconceptual connections between analysis and other parts of mathematics...Th | | 出版日期 | Textbook 2016Latest edition | | 关键词 | calculus; differential equations; functions; integral calculus; limits; real numbers | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-662-48993-2 | | isbn_softcover | 978-3-662-56966-5 | | isbn_ebook | 978-3-662-48993-2Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 2016 |
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发表于 2025-3-21 20:03:08
