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.
發表於2025-01-28
Essays on the Theory of Numbers 2025 pdf epub mobi 電子書 下載
圖書標籤: 數學 SJC 戴德金 number 紙質 數論 數學編程與統計 數學史
Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
評分Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
評分Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
評分Which one is the primary, geometry of algebra? Are numbers truly different from geometry? What is the number?
評分戴德金對無理數的純算術方法推導。排列有理數用到瞭數軸。所以數軸不算一個geometrical intuition哦?然後從數軸這個line推斷有理數是不連續的,它們的gap裏麵還有其他數即無理數。這個move不算stretching an analogy哦?
Essays on the Theory of Numbers 2025 pdf epub mobi 電子書 下載