词条 | 美国中学几何 |
释义 | 图书信息作者:约瑟夫·雷伊(Joseph·Ray) (作者) 出版社: 上海三联书店; 第1版 (2011年4月30日) 平装正文语种: 英语 ISBN: 9787542635204 条形码: 9787542635204 内容简介《美国中学几何》内容简介:We are honored and happy to bring this classic Arithmetic by Joseph Ray. These popular books sold more than any other arithmetic in America, in fact over 120 million copies and are still used in modern American schools and families. As you can see, this set of Arithmetic textbooks is organized in an orderly manner around the discipline of arithmetic itself. Ray emphasized critical thinking in his classroom. He believed that his students needed to learn how to apply what they learned to real-life situations. Rather than giving his pupils simple problems to solve, he preferred word problems. Students can increase their reading comprehension skills, and learn to think. This is an extraordinary math text beyond what would be found in any high school anywhere. It is 600 pages and is concerned with the geometry of conics and should be studied by the advanced student. 编辑推荐《美国中学几何》编辑推荐:这套《美国中学几何》系列与麦加菲编写的《美国语文读本》,应该说对美国教育产生了很大影响。两套教材自19世纪以来,被10000多所学校使用,累计销量分别高达1.22亿册,至今仍作为“家庭学校”(Homeschooling)的推荐教材。雷伊数学课本,是一套系统完整的中小学数学教材,从简单的算术开始,到高级的代数与解析几何。在近50年里,雷伊数学课本一直被作为美国标准数学教材,10000多所学校采用,超过一亿的美国孩子用此套数学教材接受教育。直到,现在仍作为学生学习和备考AST的参考用书。 对中国学生来说,这套系列教材,能帮助学生用英语学习数学,既提高他们的英语水平,也帮助他们将来更好地适应西方学科考试。 作者简介约瑟夫·雷伊 约瑟夫·雷伊教授于1807年出生于美国弗吉尼亚俄亥俄县,小时在地方学校接受教育,学业优秀。16岁时,他就开始步入其教师生涯,1825年到富兰克林学院求学,跟随乔尔·马丁教授学习医学。1828年毕业后进入俄亥俄医学院学习,1831年毕业。大学毕业后,他在辛辛那提的伍德沃德中学找了份当教师的工作,开始教数学。1836年,俄亥俄司法当局准许伍德沃德中学由高中升格为辛辛那提伍德学院,雷伊成为该学院的一名教授。1851年,该校以变为一所公立高中,雷伊一直在此担任校长,直至去世。 雷伊最杰出的贡献是他编写的系列数学教材,并以此闻名。这套数学课本与他在伍德学院的同事麦加菲编写的《美国语文读本》,一同被作为美国学校的语文和数学教材,近50年内,美国上万学校使用这两套教材,累计销量均超过1.22亿册,对美国教育产生了极大影响。 雷伊教授对俄亥俄州的教师职业培训也发挥了很大作用,他帮助建立西部文化中心与职业教师学院,将好的教学技术与经验传授给老师。他加入俄亥俄州教师协会成员,并于1853年任其会长,此外还担任《俄亥俄教育》杂志社的副总编。 目录THE NATURE,DIVISIONS,AND METHOD OF THE SCIENCE.1 Ⅰ.DETERMINATE GEOMETRY.4 Ⅱ.INDETERMINATE GEOMETRY. 24 BOOK I PLANE CO-ORDINATES PART Ⅰ.THE REPRESENTATION OF FORM BY ANALYTIC SYMBOLS CHAPTER 1 THE OLDER GEOMETRY:BILINEAR AND POLAR CO-ORDINATES. .48 Ⅰ. THE POINT48 Ⅱ. THE RIGHT LINE.77 Ⅲ. PAIRS OF RIGHT LINES.129 Ⅳ. THE CIRCLE.138 Ⅴ. THE ELLIPSE.148 Ⅵ. THE HYPERBOLA168 Ⅶ. THE PARABOLA180 Ⅷ. LOCUS OF SECOND ORDER IN GENERAL 193 CHAPTER 2 THE MODERN GEOMETRY:TRILINEAR AND TANGENTIAL CO-ORDINATES199 Ⅰ.TRILINEAR CO-ORDINATES199 Ⅱ.TANGENTIAL CO-ORDINATES.224 PART Ⅱ. THE PROPERTIES OF CONICS. CHAPTER 1. THE RIGHT LINE .245 CHAPTER 2. THE CIRCLE.259 CHAPTER 3 THE ELLIPSE.296 Ⅰ.THE CURVE REFERRED TO ITS AXES296 Ⅱ.THE CURVE REFERRED TO ANY TWO GONJUGATES 335 Ⅲ.THE CURVE REFERRED TO ITS FOCI354 Ⅳ.AREA OF THE ELLIPSE357 Ⅴ.EXAMPLES ON THE ELLIPSE358 CHAPTER 4. THE HYPERBOLA362 Ⅰ.THE CURVE REFERRED TO ITS AXES 362 Ⅱ.THE CURVE REFERRED TO ANY TWO CONJUGATES399 Ⅲ.THE CURVE REFERRED TO ITS FOCI413 Ⅳ.THE CURVE REFERRED TO ITS ASYMPTOTES 414 Ⅴ.AREA OF THE HYPERBOLA.428 Ⅵ.EXAMPLES ON THE HYPERBOLA428 CHAPTER 5. THE PARABOLA.430 Ⅰ.THE CURVE REFERRED TO ITS AXIS AND VERTEX 430 Ⅱ.THE CURVE IN TERMS OF ANY DIAMETER. 454 Ⅲ.THE CURVE REFERRED TO ITS FOCUS. 467 Ⅳ.AREA OF THE PARABOLA468 Ⅴ.EXAMPLES ON THE PARABOLA.470 CHAPTER 6. THE CONIC IN GENERAL.472 BOOK II CO-ORDINATES IN SPACE CHAPTER 1. THE POINT.513 CHAPTER 2. LOCUS OF FIRST ORDER IN SPACE.525 CHAPTER 3. LOCUS OF SECOND ORDER IN SPACE542 |
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