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Titlebook: Elementary Theory of Metric Spaces; A Course in Construc Robert B. Reisel Textbook 1982 Springer-Verlag New York, Inc. 1982 Beweis /Aufgabe

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發(fā)表于 2025-3-21 16:47:05 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Elementary Theory of Metric Spaces
副標題A Course in Construc
編輯Robert B. Reisel
視頻videohttp://file.papertrans.cn/308/307429/307429.mp4
叢書名稱Universitext
圖書封面Titlebook: Elementary Theory of Metric Spaces; A Course in Construc Robert B. Reisel Textbook 1982 Springer-Verlag New York, Inc. 1982 Beweis /Aufgabe
描述Science students have to spend much of their time learning how to do laboratory work, even if they intend to become theoretical, rather than experimental, scientists. It is important that they understand how experiments are performed and what the results mean. In science the validity of ideas is checked by experiments. If a new idea does not work in the laboratory, it must be discarded. If it does work, it is accepted, at least tentatively. In science, therefore, laboratory experiments are the touchstones for the acceptance or rejection of results. Mathematics is different. This is not to say that experiments are not part of the subject. Numerical calculations and the examina- tion of special and simplified cases are important in leading mathematicians to make conjectures, but the acceptance of a conjecture as a theorem only comes when a proof has been constructed. In other words, proofs are to mathematics as laboratory experiments are to science. Mathematics students must, therefore, learn to know what constitute valid proofs and how to construct them. How is this done? Like everything else, by doing. Mathematics students must try to prove results and then have their work criticiz
出版日期Textbook 1982
關(guān)鍵詞Beweis /Aufgabensammlung; Calc; Compact space; Connected space; Metrischer Raum; Spaces; cluster; compactne
版次1
doihttps://doi.org/10.1007/978-1-4613-8188-4
isbn_softcover978-0-387-90706-2
isbn_ebook978-1-4613-8188-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag New York, Inc. 1982
The information of publication is updating

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The Uptake of Nutrients. Digestion,logic as used in mathematics and of the logic underlying the idea of a mathematical proof. I will try to clarify some of these points in this chapter. You should read it over quickly and refer back to it when the need arises. At the end of the chapter I will give you an opportunity to use what you h
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Some Ideas of Logic,logic as used in mathematics and of the logic underlying the idea of a mathematical proof. I will try to clarify some of these points in this chapter. You should read it over quickly and refer back to it when the need arises. At the end of the chapter I will give you an opportunity to use what you h
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Searching for Worlds Worth Living in,size the geometrical aspect of this study.) The theory of metric spaces is the general theory which underlies real analysis (calculus), complex analysis, multidimensional calculus and many other subjects.
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Nonlinear Systems and Tolerances mathematics that develops and extends the ideas of calculus. In calculus you studied derivatives and integrals, which in turn were based on the idea of limits. It is possible to define limits in a metric space, but I will examine a more basic concept, that of continuous mappings of metric spaces.
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