Publisher's Synopsis
Excerpt from Functions of a Complex Variable, Vol. 1: Being Part I of Volume II
The first part of this volume has undergone only slight changes, while the rather important modifications that have been made appear only in the last chapters.
In the first edition I was able to devote but a few pages to partial differential equations of the second order and to the calculus of variations. In order to present in a less summary manner such broad subjects, I have concluded to defer them to a third volume, which will contain also a sketch of the recent theory of integral equations. The suppression of the last chapter has enabled me to make some additions, of which the most important relate to linear differential equations and to partial differential equations of the first order.
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