# Is Knopp's “Theory and Application of Infinite Series” out of date?

Is Knopp's Theory and Application of Infinite Series out of date? It's looks terrific to me, but the Dover edition I bought new maybe a year ago: http://preview.tinyurl.com/2eprqps seems to be the same as an edition published in 1951 and may go back as far as 1921. 60 or 90 years is a lot of math years. How about it? Does my book leave out some important developments? Is it old-fashioned in some other ways?

I've seen this question: what is the current state of the art in methods of summing "exotic" series? but it doesn't have a full answer yet.

Thanks

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The real problem I see with this book is the first couple chapters where he lays down the foundations. He talks at extreme length almost philosophically about the construction of the real numbers in an almost Shakespearean style. It could be cut down by 2/3 and be much more readable. Also, he uses "nests" instead of Cauchy sequences to complete $\Bbb Q$. In modern treatments it's almost always Cauchy sequences. But once he gets past this, the rest of the book read just like modern math, the meat and potatoes of it is great and wouldn't need to be modified for a current student of the 21st century.