书目名称 | Elementary Functions | 编辑 | Andrei Bourchtein,Ludmila Bourchtein | 视频video | | 概述 | Gives a gradual development of the material starting from the background topics related to real numbers and functions.Presents a strict mathematical approach to the study of elementary functions.Inclu | 图书封面 |  | 描述 | This textbook focuses on the study of different kinds of elementary functions ubiquitous both in high school Algebra and Calculus. To analyze the functions ranging from polynomial to trigonometric ones, it uses rudimentary techniques available to high school students, and at the same time follows the mathematical rigor appropriate for university level courses..Contrary to other books of Pre-Calculus, this textbook emphasizes the study of elementary functions with rigor appropriate for university level courses in mathematics, although the exposition is confined to the pre-limit topics and techniques. This makes the book useful, on the one hand, as an introduction to mathematical reasoning and methods of proofs in mathematical analysis, and on the other hand, as a preparatory course on the properties of different kinds of elementary functions..The textbook is aimed at university freshmen and high-school students interested in learning strict mathematical reasoning and in preparing a solid base for subsequent study of elementary functions at advanced level of Calculus and Analysis. The required prerequisites correspond to the level of the high school Algebra. All the preliminary conce | 出版日期 | Textbook 2023 | 关键词 | Graphs of Functions; Extrema; Elementary Functions; Concavity and Inflection; Monotonicity | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-29075-6 | isbn_softcover | 978-3-031-29074-9 | isbn_ebook | 978-3-031-29075-6 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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