周易,自然宪法,人生指南,连接古今的桥梁。
周易分析,以数学分析思想为法,以文史文物为依据,追溯文字本义,理解周易,師法自然。
周易数学基础以系统复杂性分解为指导思想组织材料,包括戴德金基本定理、泰勒公式、傅里叶级数和奇异值分解等内容,其中戴德金基本定理采用兰道的《分析基础》为教材,从皮亚诺公理出发,逐步构造自然数、有理数、实数,是理解复杂性分解、构造的绝佳范本。
本讲内容以介绍‘周易分析’开始,说明引入数学分析思想和工具的必要性,并逐步引出《分析基础》内容。‘分析基础’从皮尔诺公理出发,至戴德金基本定理结束,共二十讲,是传统文化、国学逻辑训练的极好材料。
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