I do not know if it is exactly what you want, but Chapter Zero ( http://www.amazon.com/Chapter-Zero-Fundamental-Abstract-Math... )comes close. It talks about a lot of the foundational mathematics that and symbolism that is often never taught to non-math majors,…
Here's my list: Basic 1. Chapter Zero (Carol Schumacher) 2. Naive Set Theory (Paul Halmos) Linear Algebra 1. Finite-Dimensional Vector Space (Paul Halmos) 2. Linear Algebra Done Right (Steven Axler) Real Analysis 1. Real Mathematical…
…picking up an intro to proofs type book like [1]. The reviews are mixed but I would take that with a grain of salt as I suspect many of them were written by bitter students. [1] https://www.amazon.com/Chapter-Zero-Fundamental-Abstract-Mat...
I've personally read An Introduction to Mathematical Reasoning: Numbers, Sets and Functions Paperback by Peter Eccles and Chapter Zero by Carol Schumacher and would recommend them both. Sadly, this is not an easy thing to learn and requires a lot of work and most importantly discipline. You mustn't let yourself be at all complacent.…
…already mentioned consider Numeracy. It was influential for me when I was an undergraduate and touches on numerous topics. Also, if you want to start at the beginniner, there is a very good book called Chapter Zero that starts with nothing and is easily accessible to anyone willing to study it.
I would second that, and add a recommendation for "Chapter Zero" which is a book targetted at the high school/early college level which provides an introduction to those fundamentals that are often skipped in the rush towards calculus.
我不知道这算不算正合你心意，但《第零章》（Chapter Zero，http://www.amazon.com/Chapter-Zero-Fundamental-Abstract-Math... ）很接近了。它讲了很多非数学专业往往从来没学过的基础数学和符号系统……
I do not know if it is exactly what you want, but Chapter Zero ( http://www.amazon.com/Chapter-Zero-Fundamental-Abstract-Math... )comes close. It talks about a lot of the foundational mathematics that and symbolism that is often never taught to non-math majors,…
这是我的书单：基础篇 1. 《Chapter Zero》（Carol Schumacher）2. 《天真集合论》（Naive Set Theory，Paul Halmos）；线性代数 1. 《有限维向量空间》（Finite-Dimensional Vector Space，Paul Halmos）2. 《线性代数应该这样学》（Linear Algebra Done Right，Steven Axler）；实分析 1. 《实数学……
Here's my list: Basic 1. Chapter Zero (Carol Schumacher) 2. Naive Set Theory (Paul Halmos) Linear Algebra 1. Finite-Dimensional Vector Space (Paul Halmos) 2. Linear Algebra Done Right (Steven Axler) Real Analysis 1. Real Mathematical…
……搞一本像 [1] 这样的数学证明入门书来看看。评价褒贬不一，但我建议别全信，因为我怀疑很多差评都是被虐惨了的学生写的。[1] https://www.amazon.com/Chapter-Zero-Fundamental-Abstract-Mat...
…picking up an intro to proofs type book like [1]. The reviews are mixed but I would take that with a grain of salt as I suspect many of them were written by bitter students. [1] https://www.amazon.com/Chapter-Zero-Fundamental-Abstract-Mat...
我个人读过彼得·埃克尔斯（Peter Eccles）写的《数学推理导论：数、集合与函数》（平装本）以及卡罗尔·舒马赫（Carol Schumacher）的《第零章》（Chapter Zero），这两本我都推荐。遗憾的是，这玩意儿学起来并不轻松，需要付出大量努力，最重要的是自律。你绝不能有丝毫的自满。……
I've personally read An Introduction to Mathematical Reasoning: Numbers, Sets and Functions Paperback by Peter Eccles and Chapter Zero by Carol Schumacher and would recommend them both. Sadly, this is not an easy thing to learn and requires a lot of work and most importantly discipline. You mustn't let yourself be at all complacent.…
……除了已经提到的，还可以考虑一下《数感》（Numeracy）。我本科时它对我影响很大，涉及的主题非常广泛。另外，如果你想从零基础小白开始，有一本叫《第零章》（Chapter Zero）的极佳好书，从零讲起，任何愿意静下心来学的人都能轻松读懂。
…already mentioned consider Numeracy. It was influential for me when I was an undergraduate and touches on numerous topics. Also, if you want to start at the beginniner, there is a very good book called Chapter Zero that starts with nothing and is easily accessible to anyone willing to study it.
我附议，并且追加推荐一本《第零章》（Chapter Zero），这是一本面向高中/大学低年级水平的书，对那些为了赶进度学微积分而经常被略过的基础知识做了很好的介绍。
I would second that, and add a recommendation for "Chapter Zero" which is a book targetted at the high school/early college level which provides an introduction to those fundamentals that are often skipped in the rush towards calculus.