数学分水岭，数学对程序员究竟有多重要？
好的程序员不需要掌握太深奥的数学知识，但若要成为一个伟大的程序员，强大的数学知识就是一项必备的要求。当大家软件技术之间不想伯仲时，数学能力往往就是一道分水岭，可以拉开很大的距离。
每个计算机系毕业的人，大都学过不少数学课，而且不少学校的计算机系的数学课，通常比一般的其他工科专业的数学要难一些，比如不上高等数学，而是学数学分析，不上线性代数而去上高等代数。但是，大部分毕业了后去做程序员的人，即使是所谓的名校计算机系毕业的，大都工作中也基本完全用不上学的那些数学，基本上，一半时间在CRUD，另一半时间在处理各类字符串、链表、Hash表，知道在面试中回答各种排序的时间复杂度是他们需要的数学的上线了。
而在念书的时候，虽然上大学之前，有不少内行的外行的，年老的年轻的人告诉你，数学很重要啊。但是，通常来说，各个学校的计算机系的同学么，爱好学习的，可能重视的也是Thinking in Java，C++ Primer之类的语言书，或者设计模式之类的架构书，抑或是算法与数据结构这些玩意儿；而像我这样天天偷懒放羊的，也不会把数学当作是什么重要的课程好好学习。所以，“数学真重要”，这句话，似乎对于大家来说，始终只是飘在天上的一句话，随风飘逝了。
于是，五年过去了，程序员们都有了不少的工作经验了，如果不是对工作毫无追求混吃等死的程序员的话，对于天天干活的语言，不论是Java还是C++应该都熟能生巧了，所谓的设计模式、重构、自动化测试等等也手到擒来了，大部分人的title上都加上了Senior了，牛一点的后面大概还跟上了一个Manager，然而，大家都开始考虑一个新的问题——“30岁以后怎么冡"//www.11684.com/special/2k/" target="_blank" class="keylink">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"clearfix">
