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引言在應用數學範圍以内,我们要遇到數字和公式。但是我們對於這些數字和這些公式的看法,和純粹數學工作者的看法,有一定不同的地方。例如e,π,2~(1/2)這些無理數,應用數學工作者不能採用它們的準確數值,只能採用它們的近似數值,如2.7183;3.1415;1.414。對於公式的看法,純粹數學工作者要求簡潔、明顯、完整。但應用數學工作者的要求便不同,並且看所用的計算工具不同而有所不同。例如:如何容易計算,如
Introduction Within the scope of applied mathematics, we have to encounter numbers and formulas. But our view of these numbers and these formulas is somewhat different from that of pure mathematicians. For example, e, π, 2~(1/2) these irrational numbers, application mathematicians cannot use their exact values, only their approximate values, such as 2.7183; 3.1415; 1.414. For the formula’s view, pure mathematicians demand simplicity, obviousness, and completeness. However, the requirements of applied mathematicians are different, and they differ depending on the calculation tools used. For example: how easy to calculate, such as