| 書目名稱 | Mathematical Analysis I | | 編輯 | Vladimir A. Zorich | | 視頻video | http://file.papertrans.cn/626/625964/625964.mp4 | | 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 | | 叢書名稱 | Universitext | | 圖書封面 |  | | 描述 | .This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis...The main difference between the second and first editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant 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 important conceptual connections between analysis and other parts of mathematics...T | | 出版日期 | Textbook 2015Latest edition | | 關(guān)鍵詞 | calculus; differential equations; functions; integral calculus; limits; real numbers | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-662-48792-1 | | isbn_softcover | 978-3-662-56955-9 | | isbn_ebook | 978-3-662-48792-1Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2015 |
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