Description
In preparing the second edition the author has striven to adjust to this greater maturity of the readers. At the same time the essentially elemen- tary character of the exposition has not been sacrificed. Indeed, nothing could be gained by addressing only the ablest students. Therefore, as in the first edition, the presentation is comparatively broad in the beginning, except for condensed reviews of familiar material, and rises only slowly to a higher level of conciseness. The author has tried to emphasize economy of thought in order to make the reader aware of the intrinsic unity which is so characteristic of the subject. We enumerate the most important changes from the first edition: 1. The exponential and trigonometric functions are now defined by means of power series. In order to do so it was necessary to introduce an early elementary section on complex power series, a procedure that is not without didactic value in itself.
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