The method of coordinates
著者
書誌事項
The method of coordinates
Birkhäuser, c1990
- : us
- : sz
- タイトル別名
-
Metod koordinat
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注記
Reprint. Originally published: Cambridge: M.I.T. Press, 1967. (Library of school mathematics; v. 1)
内容説明・目次
内容説明
The need for improved mathematics education at the high school and
college levels has never been more apparent than in the 1990s. As
early as the 1960s, I. M. Gel'fand and his colleagues in the USSR
thought hard about this same question and developed a style for
presenting basic mathematics in a clear and simple form that engaged
the curiosity and intellectual interest of thousands of high school
and college students. These same ideas, this same content, unchanged
by over thirty years of experience and mathematical development, are
available in the present books to any student who is willing to read,
to be stimulated and to learn.
"The Method of Coordinates" is a way of transferring geometric images
into formulas, a method for describing pictures by numbers and letters
denoting constants and variables. It is fundamental to the study of
calculus and other mathematical topics. Teachers of mathematics will
find here a fresh understanding of the subject and a valuable path to
the training of students in mathematical concepts and skills.
目次
Preface.- Foreword.- Introduction.- PART I.- Chapter 1. The Coordinates of Points on a Line.- 1. The Number Axis.- 2. The Absolute Value of Number.- 3. The Distance Between Two Points.- Chapter 2. The Coordinates of Points in the Plane.- 4. The Coordinate Plane.- 5. Relations Connecting Coordinates.- 6. The Distance Between Two Points.- 7. Defining Figures.- 8. We Begin to Solve Problems.- 9. Other Systems of Coordinates.- Chapter 3. The Coordinates of a Point in Space.- 10. Coordinate Axes and Planes.- 11. Defining Figures in Space.- PART II.- Chapter 1. Introduction.- 1. Some General Considerations.- 2. Geometry as an Aid in Calculation.- 3. The Need for Introducing Four-Dimensional Space.- 4. The Peculiarities of Four-Dimensional Space.- 5. Some Physics.- Chapter 2. Four-Dimensional Space.- 6. Coordinate Axes and Planes.- 7. Some Problems.- Chapter 3. The Four-Dimensional Cube.- 8. The Definition of the Sphere and the Cube.- 9. The Structure of the Four-Dimensional Cube.- 10. Problems on the Cube.
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