| 书目名称 | Calculus and Analysis in Euclidean Space | | 编辑 | Jerry Shurman | | 视频video | | | 概述 | Concentrates on n-dimensional Euclidean space.Uses multivariable calculus to teach mathematics as a blend of reasoning, computing, and problem-solving, doing justice to the structure, the details, and | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, .Calculus and Analysis in Euclidean Space. offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject...The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of...geometric intuition (the visual cortexbeing quickly instinctive)..algebraic manipulation (symbol-patternsbeing precise and robust)..incisive use of natural langu | | 出版日期 | Textbook 2016 | | 关键词 | derivative; implicit functions; integration of differential forms; linear mappings; multivariable differ | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-49314-5 | | isbn_softcover | 978-3-319-84130-4 | | isbn_ebook | 978-3-319-49314-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer International Publishing AG 2016 |
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发表于 2025-3-21 16:16:14
