| 书目名称 | Essential Mathematics for Undergraduates | | 副标题 | A Guided Approach to | | 编辑 | Simon G. Chiossi | | 视频video | | | 概述 | Covers topics in abstract algebra, topology, analysis, and geometry in an innovative way.Explains core elementary subjects of undergraduate mathematics in plain English.Offers a rich set of exercises | | 图书封面 |  | | 描述 | .This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas. It guides STEM students towards developing knowledge and skills to enrich their scientific education. In doing so it avoids the common mechanical approach to problem-solving based on the repetitive application of dry formulas. The presentation preserves the mathematical rigour throughout and still stays accessible to undergraduates. The didactical focus is threaded through the assortment of subjects and reflects in the book’s structure..Part 1 introduces the mathematical language and its rules together with the basic building blocks. Part 2 discusses the number systems of common practice, while the backgrounds needed to solve equations and inequalities are developed in Part 3. Part 4 breaks down the traditional, outdated barriers between areas, exploring in particular the interplay between algebra and geometry.Two appendices form Part 5: the Greek etymology of frequent terms and a list of mathematicians mentioned in the book. Abundant examples and exercises are disseminated along the text to boost the learning proc | | 出版日期 | Textbook 2021 | | 关键词 | algebra; geometry; topology; logic; set theory; functions; real numbers; polynomials; complex numbers; vector | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-87174-1 | | isbn_softcover | 978-3-030-87176-5 | | isbn_ebook | 978-3-030-87174-1 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:41:44
