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https://doi.org/10.1007/978-3-531-93463-1Bolzano theorem (§3.5), nominally a theorem about bounded sequences, is in essence a property of closed intervals; Cauchy’ criterion (§3.6) is a test for convergence, especially useful in the theory of infinite series (§10.1). The chapter concludes with a dissection of convergence into two more genehomocysteine 发表于 2025-3-24 07:04:42
https://doi.org/10.1007/978-3-531-93463-1 of unity in the processes of calculus. However, when we look at these concepts more closely, they are quite different: continuity has to do with the interaction between functions and open sets, whereas differentiability involves in addition the algebraic structure of the number field (from the very幻想 发表于 2025-3-24 12:41:57
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Undergraduate Texts in Mathematicshttp://image.papertrans.cn/a/image/140776.jpgOafishness 发表于 2025-3-25 00:34:51
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