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高等教育出版社:《数学史通论》教学教材电子书(翻译版)A History of Mathematics An Introduction [数学史通论·第二版].(美)维克多·J·卡茨
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The first three chapters cover the standard material on sets, relations, and functions and algorithms. Next come chapters on logic, counting, and probability. We then have three chapters on graph theory: graphs, directed graphs, and binary trees. Finally there are individual chapters on properties of the integers, languages, machines, ordered sets and lattices, and Boolean algebra, and appendices on vectors and matrices, and algebraic systems. The chapter on functions and algorithms includes a discussion of cardinality and countable sets, and complexity. The chapters on graph theory include discussions on planarity, traversability, minimal paths, and Warshall’s and Huffman’s algorithms. We emphasize that the chapters have been written so that the order can be changed without difficulty and without loss of continuity
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1 Fundamentals 2 Collections 3 Counting and Relations 4 More Proof 5 Functions 6 Probability 7 Number Theory 8 Algebra 9 Graphs 10 Partially Ordered Sets
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《计算机问题求解》课程参考书籍资料:《Mathematics for Computer Science》PDF电子书(revised Wednesday 6th June, 2018,Eric Lehman、F Thomson Leighton、Albert R Meyer)
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信息安全专业参考书籍:《Mathematics for Computer Science》计算机科学数学(revised Monday 5th June, 2017,Eric Lehman、F Thomson Leighton、Albert R Meyer)
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• §1.1 函数概念 • §1.2 常用经济函数 • §1.3 极限概念 • §1.4 极限的运算 • §1.5 无穷小量与无穷大量 • §1.6 函数连续
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§3.1 不定积分的概念 §3.2 不定积分的计算方法 §3.3 定积分概念及性质 §3.4 积分学基本公式 § 3.5 定积分的换元积分法与分部积分法 §3.7 定积分的应用
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北京外国语大学:《经济数学 Mathematics in Economics》课程教学资源(课件讲稿,上)第4章 二元函数(二元函数的图象)
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n阶行列式 定义(§1.1)、 性质(§1.2、§1.3); 克莱姆法则: n元线性方程组与n阶行列式的关系(§1.4)
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矩阵的运算 几种特殊矩阵 分块矩阵 逆矩阵 初等矩阵
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