> math doesn't really go stale
I apologize for taking this out of context, but I'd thought I'd comment. Even though math in textbooks doesn't change, presentation totally does.
For example, "Measure, Integration & Real Analysis" by Axler [0] is a beauty to behold. Honestly, no books from as recent as aughts match the pics, the font, the color of this book...even the explanations and examples le
……大概可以按顺序读下面这两本:前置分析学(pre-analysis)可以试试 * Schinazi 的《From Calculus to Analysis》:https://www.google.com/books/edition/From_Calculus_to_Analys... 现代分析学可以试试 * Axler 的《Measure, Integration and Real Analysis》:https://link.springer.com/content/pdf/10.1007%2F978-3-030-33... Schinazi 那本在 l#ibgen 上有,Axler 那本可以直接免费获取。
…probably do the following one after the other: For pre-analysis, try * From Calculus to Analysis by Schinazi: https://www.google.com/books/edition/From_Calculus_to_Analys... For modern analysis, try * Measure, Integration and Real Analysis by Axler: https://link.springer.com/content/pdf/10.1007%2F978-3-030-33... The one by Schinazi is on l#ibgen and the one by Axler is available free.
我想如果你在读这样一本书,你应该清楚这点;但对于读这条评论的其他所有人:我建议不要把《Measure, Integration and Real Analysis》作为实分析的初级入门书。看着 Axler 开篇直奔测度论确实挺“好玩”,但通常分析学才是学测度论的前提。教学法上更合理的方式……
I have to imagine you know this if you're reading a book like that; but for anyone else reading this comment: I recommend you don't read Measure, Integration and Real Analysis for a first introduction to real analysis. It's "fun" to see Axler present measure theory first and foremost, but analysis is typically a prerequisite to that. The more pedagogically appropriate way…
> 数学其实不会过时 很抱歉断章取义了,但我想发表点看法。尽管教科书里的数学不会变,但展现形式完全会变。 比如 Axler 写的《Measure, Integration & Real Analysis》[0] 读起来简直是种享受。说实话,就连 2000 年代那么近的书,也没哪本能比得上这本书的配图、字体和排版配色……甚至连解释和例题也
> math doesn't really go stale I apologize for taking this out of context, but I'd thought I'd comment. Even though math in textbooks doesn't change, presentation totally does. For example, "Measure, Integration & Real Analysis" by Axler [0] is a beauty to behold. Honestly, no books from as recent as aughts match the pics, the font, the color of this book...even the explanations and examples le
……大概可以按顺序读下面这两本:前置分析学(pre-analysis)可以试试 * Schinazi 的《From Calculus to Analysis》:https://www.google.com/books/edition/From_Calculus_to_Analys... 现代分析学可以试试 * Axler 的《Measure, Integration and Real Analysis》:https://link.springer.com/content/pdf/10.1007%2F978-3-030-33... Schinazi 那本在 l#ibgen 上有,Axler 那本可以直接免费获取。
…probably do the following one after the other: For pre-analysis, try * From Calculus to Analysis by Schinazi: https://www.google.com/books/edition/From_Calculus_to_Analys... For modern analysis, try * Measure, Integration and Real Analysis by Axler: https://link.springer.com/content/pdf/10.1007%2F978-3-030-33... The one by Schinazi is on l#ibgen and the one by Axler is available free.
我想如果你在读这样一本书,你应该清楚这点;但对于读这条评论的其他所有人:我建议不要把《Measure, Integration and Real Analysis》作为实分析的初级入门书。看着 Axler 开篇直奔测度论确实挺“好玩”,但通常分析学才是学测度论的前提。教学法上更合理的方式……
I have to imagine you know this if you're reading a book like that; but for anyone else reading this comment: I recommend you don't read Measure, Integration and Real Analysis for a first introduction to real analysis. It's "fun" to see Axler present measure theory first and foremost, but analysis is typically a prerequisite to that. The more pedagogically appropriate way…