单词 | Complex Number | ||||||||||||||||||||||||||||||||||||||||||||
释义 | Complex NumberThe complex numbers are the Field Through the Euler Formula, a complex number
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The Powers of complex numbers can be written in closed form as follows:
The first few are explicitly
(Abramowitz and Stegun 1972).See also Absolute Square, Argument (Complex Number), Complex Plane, i, Imaginary Number, Modulus, Phase, Phasor, Real Number, Surreal Number
Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 16-17, 1972. Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 353-357, 1985. Courant, R. and Robbins, H. ``Complex Numbers.'' §2.5 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 88-103, 1996. Morse, P. M. and Feshbach, H. ``Complex Numbers and Variables.'' §4.1 in Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 349-356, 1953. Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Complex Arithmetic.'' §5.4 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 171-172, 1992. |
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