期刊全稱 | A Circle-Line Study of Mathematical Analysis | 影響因子2023 | Simone Secchi | 視頻video | http://file.papertrans.cn/141/140195/140195.mp4 | 發(fā)行地址 | Focuses on a global vision of Modern Analysis, from Set Theory to Measure Theory.Suitable for preparation to Ph.D. enrollment.Contains exercises along the text | 學(xué)科分類 | UNITEXT | 圖書封面 |  | 影響因子 | .The book addresses the rigorous foundations of mathematical analysis. The first part presents a complete discussion of the fundamental topics: a review of naive set theory, the structure of real numbers, the topology of R, sequences, series, limits, differentiation and integration according to Riemann.. . The second part provides a more mature return to these topics: a possible axiomatization of set theory, an introduction to general topology with a particular attention to convergence in abstract spaces, a construction of the abstract Lebesgue integral in the spirit of Daniell, and the discussion of differentiation in normed linear spaces.. .The book can be used for graduate courses in real and abstract analysis and can also be useful as a self-study for students who begin a Ph.D. program in Analysis. The first part of the book may also be suggested as a second reading for undergraduate students with a strong interest in mathematical analysis.. | Pindex | Textbook 2022 |
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