书目名称 | Introduction to Mathematical Analysis | 编辑 | Igor Kriz,Aleš Pultr | 视频video | http://file.papertrans.cn/474/473865/473865.mp4 | 概述 | In a single text, the student gets a glimpse of a big picture.The treatment of mathematical analysis is rigorous and self-contained.Can be used not only as a textbook for a course but also as a refere | 图书封面 |  | 描述 | The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, Lebesgue integral, vector calculus and differential equations. After having built on a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis, as understood by a mathematician today. | 出版日期 | Textbook 2013 | 关键词 | geometry; integration; manifolds; mathematical analysis; multivariate calculus; matrix theory; ordinary di | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-0636-7 | isbn_softcover | 978-3-0348-0635-0 | isbn_ebook | 978-3-0348-0636-7 | copyright | Springer Basel 2013 |
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