实分析

Real Analysis

Jay Cummings · 初版 2018 年

10人推荐
10位读者提及
11次提及

为什么值得读

  • 叙述流畅轻快,没有传统数学教材的晦涩感
  • 兼具严谨证明推演与教程的易读性
  • 适合配合进阶教材作为有力的学习补充

Hacker News 上怎么说

  • 如果你上过“证明导论”、“抽象代数导论”、“线性代数导论”或者任何见过严格数学证明的类似课程,那么 Jay Cummings 的《实分析:一本长篇数学教材》(Real Analysis: A Long-Form Mathematics Textbook)[0]绝对是一本极佳的实分析入门书。这是一次节奏飞快但严谨深入的分析学之旅。我本来写了更长的评论,但我不得不……

    If you have taken some "intro to proofs" or "intro to abstract algebra" or "intro linear algebra" or any other such course where you've seen rigorous proofs, then Jay Cummings' "Real Analysis: A Long-Form Mathematics Textbook" [0] is simply a phenomenal introduction to real analysis. It's a fast paced tour de force through rigorous analysis. I actually wrote a longer comment, but I had to…

  • ……Hammack(入行工具)Kuldeep Singh 的《线性代数》(严格的教程:结合了教材的严谨与教程的易读性)Dos Reis 的《抽象代数》(严格的教程)Lara Alcock 的《实分析》(这本书把数列的严格定义讲得极其浅显易懂)Jay Cummings 的《实分析》(比上面那本干货多得多,精神内核非常相似)《实分析》……

    …Hammack (tools of the trade) Linear Algebra by Kuldeep Singh (rigorous tutorial: combines the rigor of a textbook and the ease of use of tutorial) Abstract Algebra by the Dos Reis (rigorous tutorial) Real Analysis by Lara Alcock (this books makes the rigorous definition of sequences trivial) Real Analysis by Jay Cummings (contains much more info than the one above and is very similar in spirit) Real Analysis…

  • Jay Cummings 写的《实分析:一本长篇数学教材》[0]终于帮我拿下了初等实分析。学习过程飞快、顺畅又高效。不过每个人的体验可能有所不同,毕竟这本书并不是……

    Real Analysis: A Long-Form Mathematics Textbook by Jay Cummings [0] finally helped me conquer elementary real analysis. It was fast, smooth and streamlined experience. Your millage may vary, though, as this one wasn't…

  • Jay Cummings 写的《实分析:一本长篇数学教材》。读起来非常轻松欢快,完全没有你光是看一眼数学书就会感受到的那种沉重感。不过话说回来,它已经被无数人挑刺校对过了(主要是……

    Real Analysis: A Long-Form Mathematics Textbook by Jay Cummings. It's a very brisk read and lacks that heavy-handed feel you get from even looking at math books. That said, it's been edited by bajillion people (mostly…

  • Jay Cummings 写过一本叫《实分析:一本长篇数学教材》的书,我强烈推荐去看看。如果配合一本更“进阶”的书一起用,会是一个很棒的补充。《实分析:一本长篇数学教材》https://www.amazon.com/dp/1724510126/

    there is a book by jay cummings called real analysis: a long-form mathematics textbook that i highly recommend checking out. used with a more "advanced" book, it could be a nice complement. Real Analysis: A Long-Form Mathematics Textbook https://www.amazon.com/dp/1724510126/

  • ……入门书简单到随便拉个人甚至他们的老妈都能轻松读懂:Susanna Epp 的《离散数学》、Lara Alcock 的《如何思考分析》、Kuldeep Singh 的《线性代数:循序渐进》、Jay Cummings 的《实分析:一本长篇数学教材》、Karin Saoub 的《图论之旅》。上面提到的这些书都是初级读物的例子,你现在就可以直接上手……

    …intro books are so easy anyone and they momma can read these with utmost ease: Discrete Math by Susanna Epp How to Think about Analysis by Lara Alcock Linear Algebra: Step by Step by Kuldeep Singh Real Analysis: A Long-Form Mathematics Textbook by Jay Cummings A Tour Through Graph Theory by Karin Saoub The above mentioned books are a few examples of elementary books that you can get started with right this…

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