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  • AdvancedMathematics(高等数学2)[平装]
  • 共1个商家     23.80元~23.80
  • 作者:陈明明(作者,编者),于晶贤(作者,编者),李金秋(作者),等(作者,编者),郭振宁(编者)
  • 出版社:化学工业出版社;第1版(2011年1月1日)
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  • ISBN:9787122102133

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    《高等数学(2)》:高等学校规划教材

    目录

    Chapter 8 Vector Algebra and Analytic Geometry of Space1
    Chapter 9 The multivariable differential calculus and
    Chapter 10 Multiple Integrals104
    Chapter 11 Line and Surface Integrals146
    Chapter 12 Infinite Series188

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    Some of the things we measure are determined simply by their magnitudes. To record mass, length or time, for example, we need only write down a number and name an appropriate unit of measure. We need more information to describe a force, displacement, or velocity. To describe a force, we need to record the direction in which it acts as well as how large it is. To describe a body's displacement, we have to say in what direction it moved as well as how far. To describe a body's velocity, we have to know where the body is headed as well as how fast it is going.
    A quantity that has both magnitude and direction, such as force, displacement, or velocity, is called a vector. A vector is usually represented by a line segment with an arrow, a directed line segment. The length of the directed line segment represents the magnitude of the vector and the arrow points in the direction of the vector. The vector represented by the directed line segment from the initial point A to the terminal point B is denoted by AB(Figure 8-1)。