第三章：作者研究了某一类负系数的单叶调和函数，得到它的一些充要条件等。

In the last chapter: the author investigates certain kind of harmonic univalent function with negative coefficients and obtain some sufficient-necessary conditions for this new kind function.

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它共分六个部分：映射定理；单叶调和函数的数值估计；特殊映射；变分方法；境界性质和在极小曲面中的应用。

It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary behavior and applications to minimal surfaces.

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本文的第四章研究的是单叶调和函数模的偏差估计，我们将拟共形映射理论与调和函数理论相互结合起来，用新定义的角伸缩商宋对单叶调和函数的模给出新的估计。

We research it by some new knowledge combining the quasiconformal theory with the harmonic theory. A new estimate of modulus is given which is relation to the angular dilatation.

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