| 作 者: | 齐龙新 |
| 出版社: | 电子工业出版社 |
| 丛编项: | |
| 版权说明: | 本书为公共版权或经版权方授权,请支持正版图书 |
| 标 签: | 暂缺 |
| ISBN | 出版时间 | 包装 | 开本 | 页数 | 字数 |
|---|---|---|---|---|---|
| 未知 | 暂无 | 暂无 | 未知 | 0 | 暂无 |
第一章
数学文化总论
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第一节
什么是数学文化
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第二节
数学文化的四个层面
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一、知识系统
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二、工具系统
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三、价值系统
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四、史实系统
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第三节
数学文化的人本特性
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一、精神特性
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二、物质特性
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三、行为特性
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四、审美特性
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第二章
数学历史
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第一节
数学名著
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一、《九章算术》
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二、《数书九章》
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三、《算数书》
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第二节
数学故事
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一、毕达哥拉斯的故事
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二、高斯的故事
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三、哥德巴赫的故事
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第三节
数学名题
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一、米勒问题
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二、斐波那契数列
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三、阿基米德穷竭法
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四、柯西不等式
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五、角谷猜想
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六、阿波罗尼奥斯圆
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七、回文数
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八、勾股数
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九、平均数
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十、皮克定理
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十一、数字黑洞
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十二、伯努利不等式
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十三、正整数方幂和
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十四、切比雪夫多项式
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十五、马尔科夫定理
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十六、四色问题
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十七、莱布尼茨三角形
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十八、黄金分割比
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第三章
数学精神
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第一节
理性求真
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第二节
创新意识
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第四章
数学应用
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第一节
营销决策类
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第二节
金融经济类
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第三节
环境保护类
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第四节
建设工程类
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第五节
交通运输类
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第六节
概率统计类
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第七节
日常民生类
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第五章
数学之美
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第一节
和谐美
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一、结构形式的和谐统一
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二、项、项数、次数的和谐统一
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三、转换的和谐统一
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第二节
简洁美
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第三节
对称美
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第四节
奇异美
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一、解法多样的奇异美
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二、解法之巧的奇异美
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第六章
数学语言
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第七章
交汇拓展
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第八章
数学游戏
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附录一
本书习题参考答案
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附录二
高考数学文化最新动态
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参考文献
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