书目名称 | Elementary Analysis | 副标题 | The Theory of Calcul | 编辑 | Kenneth A. Ross | 视频video | | 丛书名称 | Undergraduate Texts in Mathematics | 图书封面 |  | 描述 | Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals. | 出版日期 | Textbook 19801st edition | 关键词 | Differentialrechnung; Elementary Analysis; Integralrechnung; calculus; differential equation | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-3971-8 | isbn_ebook | 978-1-4757-3971-8Series ISSN 0172-6056 Series E-ISSN 2197-5604 | issn_series | 0172-6056 | copyright | Springer-Verlag New York 1980 |
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