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zhcosin / elementary-math

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初等数学笔记,LaTeX 排版,内容涉及代数、数论、几何、组合等。

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初等数学学习笔记

这个文档工程是我学习初等数学的笔记,全文使用 LaTeX 进行排版, PDF 文档可前往 https://coding.net/u/zhcosin/p/math-notes-publish/git/blob/master/elementary-math-note.pdf 下载,并且会在这个页面不定期更新(落后于本工程中的源文件更新)。

这份笔记包含了代数、几何、数论等方面内容,并按章节划分为初等数论、函数与方程、数列、不等式、组合与概率、平面几何、解析几何、立体几何等,笔记中所使用的材料绝大部分来自于参考文献中所列出的那些书籍,它们也是我最近几年所读过的书籍(没有哪一本是读完过的)。

写作这份笔记的初衷,是因为毕业时没有选择数学教育行业,在日复一日的工作循环持续了几年后,突然自己的数学水平基本上没有任何进步,由此决定以写作笔记为契机,让自己能够常有所思,常有所得,不求短期的悬梁刺股立竿见影,但求数学知识能随时间的增长而积累,以在今后,不会因低下的数学水平而自我懊恼,留下遗憾。

曾经为是否公开这份笔记的源码而纠结了几个月的时间,现在再次决定公开它,计较太多实在没啥益处,但愿这是我最后一次就这个问题做决定。

笔记中的图片都是用 Asymptote 绘制的,编译之前需要先使用 texlive 自带的 Asymptote 程序将源文件(*.asy)转换为pdf文件,我只写了一个 linux 脚本 build-pic.sh ,没有提供相应的 windows 批处理脚本,这是因为我实在没搞定如何使用 windows 的脚本来递归的将目录下的 asy 文件调用 Asymptote 转换成 pdf 文件,虽然我笔记主要是在 windows 下写成的,但因为我每绘制一张图都会将它生成 pdf 文件,所以我这并不存在这个问题,如果有谁愿意帮我写一个 windows 脚本来完成这件工作,我非常感激,说明一下,利用 Asymptote*.asy 源文件生成 pdf 的命令是 asy -f pdf xxx.asy

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