“complex number”的概念、定义、习题解题方法及翻译-数学辞典

单词

complex number

释义

complex number

There is no real number x such that x2 + 1 = 0. The introduction of an ‘imaginary' number i such that i2 = −1 gives rise to the complex numbers a + bi, where a and b are real. The complex numbers subsume the real numbers (when b = 0). The set of all complex numbers is denoted ℂ. (The use of j in place of i is quite common.) Complex numbers can be added, subtracted, and multiplied as expected, remembering i2 = −1; for example:

Division by a non-zero complex number is also possible, noting: $inline$ (see inverse of a complex number). The set ℂ of complex numbers in fact forms a field. More formally, the complex number a + bi can be identified with the ordered pair (a,b) of real numbers and arithmetic operations defined formally on such pairs in light of the previous calculations. See also argument, complex analysis, fundamental theorem of algebra, modulus of a complex number, polar form of a complex number.

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数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。