发表于2024-12-18
Essays on the Theory of Numbers 2024 pdf epub mobi 电子书
图书标签: 数学 SJC 戴德金 number 纸质 数论 数学编程与统计 数学史
Two most important essays by the famous German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. The other is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.
戴德金对无理数的纯算术方法推导。排列有理数用到了数轴。所以数轴不算一个geometrical intuition哦?然后从数轴这个line推断有理数是不连续的,它们的gap里面还有其他数即无理数。这个move不算stretching an analogy哦?
评分戴德金对无理数的纯算术方法推导。排列有理数用到了数轴。所以数轴不算一个geometrical intuition哦?然后从数轴这个line推断有理数是不连续的,它们的gap里面还有其他数即无理数。这个move不算stretching an analogy哦?
评分Continuity and Irrational numbers. 非常优美的策略。关键概念的征用来自解决问题的实际需要。数学气息>哲学气息。相当依赖geometric intuition.
评分Continuity and Irrational Numbers 一篇
评分Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
Essays on the Theory of Numbers 2024 pdf epub mobi 电子书