| 书目名称 | Mathematical Analysis | | 副标题 | An Introduction | | 编辑 | Andrew Browder | | 视频video | | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | This is a textbook suitable for a year-long course in analysis at the ad vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub specialties, but most of it can be placed roughly into three categories: al gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify? Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned w | | 出版日期 | Textbook 1996 | | 关键词 | Derivative; Fourier series; Riemann integral; calculus; compactness; differential equation; exponential fu | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0715-3 | | isbn_softcover | 978-1-4612-6879-6 | | isbn_ebook | 978-1-4612-0715-3Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 1996 |
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发表于 2025-3-21 16:32:46
