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>> "Reading Mathematics is not at all a linear experience ...Understanding the text requires cross references, scanning, pausing and revisiting" The key proble
by alok-g 16y ago
>> "Reading Mathematics is not at all a linear experience ...Understanding the text requires cross references, scanning, pausing and revisiting"
The key problem I face is when cross-references go outside of the current article, since almost certainly then those cited articles would cite some more themselves and you can never get to the bottom of it. Even worse is when the author references something from outside without stating it, an example of which could be using some variable without defining it.
Stephen Hawking believes what Euclid did in culminating mathematical knowledge (into self-contained 13 volumes) is something that is needed again but has never been done in the modern times. His "God Created The Integers" I suppose is a small attempt in that direction.
I would have imagined Eric Wittgenstein's mathematics online encyclopedia (http://mathworld.wolfram.com/ http://mathworld.wolfram.com/) could be such a book. But it has too much backward and "forward" cross-referencing.
I am currently reading Bertrand Russell's Principia Mathematica in my free time.
- oostevo 16y ago_The Princeton Companion to Mathematics_ is the closest thing to what you're looking for that I know of. I have a copy, and it's wonderful for looking up common topics in mathematics. The problem is that math is so enormous as a field that you'd essentially have to print and bind every journal article ever written to truly encompass all of the current mathematical knowledge.