英语翻译高等数学比初等数学“高等”的数学.广义地说,初等数学之外的数学都是高等数学,也有将中学较深入的代数、几何以及简单的集合论逻辑称为中等数学,作为小学初中的初等数学与本

英语翻译高等数学比初等数学“高等”的数学.广义地说,初等数学之外的数学都是高等数学,也有将中学较深入的代数、几何以及简单的集合论逻辑称为中等数学,作为小学初中的初等数学与本
英语翻译
高等数学比初等数学“高等”的数学.广义地说,初等数学之外的数学都是高等数学,也有将中学较深入的代数、几何以及简单的集合论逻辑称为中等数学,作为小学初中的初等数学与本科阶段的高等数学的过渡.通常认为,高等数学是将简单的微积分学,概率论与数理统计,以及深入的代数学,几何学,以及他们之间交叉所形成的一门基础学科,主要包括微积分学,其他方面各类课本略有差异.
请用英语翻译以上,标准一点!软件翻译的请靠边!

英语翻译高等数学比初等数学“高等”的数学.广义地说,初等数学之外的数学都是高等数学,也有将中学较深入的代数、几何以及简单的集合论逻辑称为中等数学,作为小学初中的初等数学与本
首先要说楼主的中文就文法不通,
做如下修改
高等数学是比初等数学更高层次的的数学.一般来说,初等数学之外的数学都是高等数学,也有将中学较深入的代数、几何以及简单的集合论逻辑称为中等数学,中等数学是小学和初中的初等数学与大学本科阶段的高等数学的过渡.通常认为,高等数学涉及初等微积分学、概率论与数理统计、高等代数学、几何学,以及它们的交叉学科,主要包括微积分学,在其他方面各类课本略有差异.
翻译如下：
Higher mathematics is mathematics more high-level than elementary mathematics.Generally speaking,outside of the elementary mathematics are higher mathematics,someone also call medium mathematics deeper algebra,geometry and simple mathematical logic that we learn in middle school.Medium mathematics are the primary school,elementary mathematics of junior middle school and transition of higher mathematics of stage of undergraduate course of the university.Usually think,higher mathematics involves elementary infinitesimal calculus,probability theory and mathematical statistics,higher algebra,geometry,and their cross discipline,mainly include infinitesimal calculus,all kinds of textbooks have some the difference in other respects.
其次,楼主常识错误,数学分为初等数学（就是我们从小学到高中的数学都属于初等数学）、近代数学（微积分学、概率论与数理统计、高等代数学、解析几何等,一般为大学数学系本科开设的课程）、现代数学（内容和科目非常多,自行查找）,狭义的高等数学是大学本科开设的一门公共数学课的名称.

Higher mathematics elementary mathematics "higher" than the math. General elementary mathematics, outside of the mathematics are higher mathematics, also have high school of algebra and geometry and s...

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Higher mathematics elementary mathematics "higher" than the math. General elementary mathematics, outside of the mathematics are higher mathematics, also have high school of algebra and geometry and simple set theory, as a medium mathematical logic called the primary and middle phase of elementary mathematics and the degree of higher mathematics. Higher mathematics is usually think, will simply calculus, probability and mathematical statistics, and in-depth algebra, geometry, and they formed a cross between disciplines, including doors and other aspects of calculus textbooks vary slightly

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Mathematics is a study of patterns and relationships; a science and a way of thinking; an art, characterized by order and internal consistency; a language, using carefully defined terms and symbols; a...

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Mathematics is a study of patterns and relationships; a science and a way of thinking; an art, characterized by order and internal consistency; a language, using carefully defined terms and symbols; and a tool. Teachers and other educators working together to improve mathematics education must explore a broader scope of mathematics. Mathematics should include experiences that help students to shift their thinking about mathematics and define mathematics as a study of patterns and relationships; a science and a way of thinking; an art, characterized by order and internal consistency; a language, using carefully defined terms and symbols; and a tool.
翻译如下：
数学是一种模式和关系的研究，一门科学，一种思维方式，一种艺术，由秩序和内部一致的特征，语言，运用仔细定义的术语和符号，以及一个工具。教师和共同努力来改善数学教育必须探索数学的范围更广的其他教育工作者。数学应包括经验，帮助学生转移他们对数学思想和定义的模式和关系的研究数学，科学和思维方式，一种艺术，由秩序和内部一致的特征，语言，使用定义的术语，并仔细符号;和工具。

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