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https://doi.org/10.1007/978-3-663-07010-8We start our friendship with abstract mathematics with an example that illuminates how concrete quantitative problems may turn into abstract mathematical situations and how mathematicians might be led from specific questions to the development of highly abstract concepts and discoveries.凝乳 发表于 2025-3-24 05:19:22
Die habituelle Schulterluxation,In the previous chapter we learned how to introduce mathematical concepts with definitions or as primitives. Once we introduce a new concept, we are interested in its properties, usually stated as mathematical statements. . are sentences that are either true or false—but not both.青石板 发表于 2025-3-24 06:35:43
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https://doi.org/10.1007/978-3-663-09722-8In the last chapter we discussed seven of the most famous classical theorems of mathematics. We now turn to three more recent results to complete our top ten list. We will not provide any proofs—in fact, there are very (very!) few people who have seen complete proofs for these results.BIDE 发表于 2025-3-24 16:30:53
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Die handelsrechtliche UmsatzrealisationIn Chap. 8 we made the somewhat heuristic claim that properties and identities about statements can easily be altered so that they also hold true for sets. As an example, we considered the claim that . holds for all statements ., ., and ..