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Titlebook: Elementary Functions; Andrei Bourchtein,Ludmila Bourchtein Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive

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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Titlebook: Elementary Functions;  Andrei Bourchtein,Ludmila Bourchtein Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive
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
doihttps://doi.org/10.1007/978-3-031-29075-6
isbn_softcover978-3-031-29074-9
isbn_ebook978-3-031-29075-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Transcendental Functions: Exponential, Logarithmic, Trigonometric,ic functions. Initially we introduce some basic notions of exponents, logarithms and trigonometry, in order to define the relevant functions. Then we apply the scheme of the study of elementary functions presented in the preceding chapters to investigation of transcendental functions. General steps
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https://doi.org/10.1007/978-981-10-5640-6nt different modes of the definition of a function, and, what is the most important for analysis, the different forms of the definition of a function through a formula. We will consider in a general form the relevant properties of functions which can be treated using rudimentary techniques of a midd
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