| 書目名稱 | The Continuum | | 副標(biāo)題 | A Constructive Appro | | 編輯 | Rudolf Taschner | | 視頻video | http://file.papertrans.cn/907/906752/906752.mp4 | | 概述 | A constructive approach to Real Analysis | | 圖書封面 |  | | 描述 | "Few mathematical structures have undergone as many revlSlons or have been presented in as many guises as the real numbers. Every generation re-examines the reals in the light of its values and mathematical objectives." This citation is said to be due to Gian-Carlo Rota, and in this book its correctness again is affirmed. Here I propose to investigate the structure of the mathematical continuum by undertaking a rather unconventional access to the real numbers: the intuitionistic one. The traces can be tracked back at least to L.E.J. Brouwer and to H. Weyl. Largely unknown photographies of Weyl in Switzerland after World War II provided by Peter Bettschart enliven the abstract text full of subtle definitions and sophisticated estimations. The book can be read by students who have undertaken the usual analysis courses and want to know more about the intrinsic details of the underlying concepts, and it can also be used by university teachers in lectures for advanced undergraduates and inseminaries for graduate students. I wish to thank Walter Lummerding and Gottfried Oehl who helped me with their impressive expert knowledge of the English language. I also take the opportunity to expre | | 出版日期 | Textbook 20051st edition | | 關(guān)鍵詞 | Brouwer; Continuous Functions; Metric Spaces; Real Numbers; Weyl; calculus; real analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-322-82036-5 | | isbn_softcover | 978-3-322-82038-9 | | isbn_ebook | 978-3-322-82036-5 | | copyright | Friedr. Vieweg & Sohn Verlag/GWV Fachverlage GmbH, Wiesbaden 2005 |
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