期刊全稱 | Basic Real Analysis | 影響因子2023 | Houshang H. Sohrab | 視頻video | http://file.papertrans.cn/182/181132/181132.mp4 | 發(fā)行地址 | Request lecturer material: | 圖書封面 |  | 影響因子 | .One of the bedrocks of any mathematics education, the study of real analysis introduces students both to mathematical rigor and to the deep theorems and counterexamples that arise from such rigor: for instance, the construction of number systems, the Cantor Set, the Weierstrass nowhere differentiable function, and the Weierstrass approximation theorem. .Basic Real Analysis. is a modern, systematic text that presents the fundamentals and touchstone results of the subject in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. .Key features include: .* A broad view of mathematics throughout the book .* Treatment of all concepts for real numbers first, with extensions to metric spaces later, in a separate chapter .* Elegant proofs .* Excellent choice of topics .* Numerous examples and exercises to enforce methodology; exercises integrated into the main text, as well as at the end of each chapter .* Emphasis on monotone functions throughout .* Good development of integration theory .* Special topics on Banach and Hilbert spaces and Fourier series, often not included in many courses on real analysis .* Solid preparation for deeper stud | Pindex | Textbook 20031st edition |
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