组合证明的艺术
[美]阿瑟 T.本杰明(Arthur T.Benjamin) 著 詹妮弗 J.奎How much do you like this book?
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本书作者采取对话式的风格讲述了关于组合数学的有趣的内容,使读者能感受到阅读的愉悦。书中时不时会有一些惊喜,比如用图像化的处理方法以及用易于推广的证明方式,证明了许多组合数学中重要的恒等式。 全书共有 9 章: 第 1 章介绍了斐波那契数列的组合解释;第 2 章介绍了广义斐波那契数列和卢卡斯数列;第 3 章通过对平铺进行着色,引入了线性递推的组合解释;第 4 章介绍了连分式;第 5 章介绍了有关二项式系数的内容;第 6 章讨论了正负号交错的二项式恒等式;第 7 章探究了调和数与第一类斯特林数之间的关系;第 8 章介绍了连续整数和、 费马小定理、 威尔逊定理以及一部分拉格朗日定理的逆定理;第9 章介绍了进阶斐波那契恒等式和其他一些恒等式。 本书可作为组合数学课程的补充读物,读者无论是高中生还是数学方面的研究人员,均会不同程度地受益。
Categories:
Year:
2019
Publisher:
机械工业出版社
Language:
chinese
Pages:
204
Series:
图解直观数学译丛
File:
PDF, 32.85 MB
Your tags:
IPFS:
CID , CID Blake2b
chinese, 2019
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