用实部构建复变函数
本文探讨了如何通过实部来构建复变函数。作者指出，任意解析函数的实部一旦确定，其虚部便由柯西-黎曼方程唯一确定（至多相差一个常数）。具体而言，给定一个调和函数作为实部，可以构造出相应的解析函数。文章还讨论了相关数学技巧及其在实际问题中的应用。
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The article explains how complex elementary functions, such as the sine and cosine of a complex number, can be computed using only real functions of real variables. While some functions require more complicated equations than the basic examples, this approach can be extended to all elementary functions.
John D. Cook discusses notes based on Henry Baker's approach to implementing complex-variable functions using real-variable functions, decomposing f(x+iy) into real and imaginary parts u(x,y) and v(x,y).