香料 发表于 2025-3-26 21:39:42
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Set theory,Modern analysis, like most of modern mathematics, is concerned with numbers, sets, and geometry. We have already introduced one type of number system, the natural numbers.AWRY 发表于 2025-3-27 14:43:56
Series,Now that we have developed a reasonable theory of limits of sequences, we will use that theory to develop a theory of infinite series.放气 发表于 2025-3-27 19:47:14
Infinite sets,We now return to the study of set theory, and specifically to the study of cardinality of sets which are infinite (i.e., sets which do not have cardinality . for any natural number .), a topic which was initiated in Section 3.6.最初 发表于 2025-3-28 01:16:18
Terence TaoDiscusses all major topics of analysis in a simple, lucid manner.Highlights the concrete setting of the real line and Euclidean spaces.Provides examples, and step-by-step instructions.Evolves from the圆锥体 发表于 2025-3-28 03:30:14
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Reyer Zwiggelaar,Sue Astley,Chris Tayloron and multiplication. We would now like to introduce a new operation, that of subtraction, but to do that properly we will have to pass from the natural number system to a larger number system, that of the ..