期刊全称 | A Circle-Line Study of Mathematical Analysis | 影响因子2023 | Simone Secchi | 视频video | | 发行地址 | 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 | 学科分类 | UNITEXT | 图书封面 |  | 影响因子 | .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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