不透明性 发表于 2025-3-25 04:41:35

The ,-Adic Numberse methods of power series expansions, which play such a dominant role in the theory of functions, available to the theory of numbers as well. The idea sprang from the observation that numbers behave in many ways just like functions, and in a certain sense numbers may also be regarded as functions on a topological space.

intrude 发表于 2025-3-25 10:57:05

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HERE 发表于 2025-3-25 12:53:23

Nonstandard Analysisge “numbers.” In particular we shall find that it is possible in *ℝ, to define precisely the Leibniz differentials . and to establish a connection between the differential coefficient . and the derivative .′(.) of a function . = .(.) at the point ..

Interlocking 发表于 2025-3-25 18:45:07

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行为 发表于 2025-3-25 20:21:09

What is π?There are many possible ways of introducing the number π, associated with the circle. We shall obtain π from the . exponential function ..

欢笑 发表于 2025-3-26 03:36:56

Repertory. Basic Concepts from the Theory of AlgebrasWe take ℝ as the basie field, though in place of ℝ one could equally well have chosen any commutative field .. Real numbers will always be denoted in Chapters 7 to 11 by small Greek letters. Every .-dimensional ℝ-vector space is isomorphic to the number space ℝ. of .-tuples . = (ξ.,...,ξ.).

Magisterial 发表于 2025-3-26 07:22:53

Graduate Texts in Mathematicshttp://image.papertrans.cn/n/image/668898.jpg

使虚弱 发表于 2025-3-26 10:53:56

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Paleontology 发表于 2025-3-26 15:23:50

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群居动物 发表于 2025-3-26 17:12:07

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查看完整版本: Titlebook: Numbers; Heinz-Dieter Ebbinghaus,Hans Hermes,Reinhold Remme Textbook 19911st edition Springer Science+Business Media New York 1991 Finite.