I thought about this question recently when reading about early japan history. Their writting system and the chinese one are well know, but what about the numbers? Surely an empire so fond of administration such as China would have invented one.
I'm particularly curious about these ones because on the other hand they did retain their writting characters to this day, but the question apply to as much civilisations as you can answers, I find it very interesting what early isolated humans thought of writting past the "adding sticks" phase. All the better if we have pictures of it.
Also, were the indians the only ones to invent the zéro? How did it went?
Finally, I vaguely remember hearing that one of the precolombians civilisations had a twenty based system rather than the ten based one we're accustomed to. Were there others différents systems?
hi! there is lots of room for more input on your questions, but I thought I'd find some existing threads that might help out. I didn't find anything on Chinese & Japanese mathematics, but you may be interested in these:
Mathematics:
If the Sumerians already had place value number systems why did the Romans use Roman numerals?
How much mathematics was used in Greek and Roman architecture?
Did Roman numerals handicap the past when dealing with mathematics, and if so how badly?
You can't really do traditional math with roman numerals, so how did the ancient Romans do math?
Zero:
comment in AMA History of Science
thread in Were there any scientific discoveries in the Americas that were unknown in the Old World?
How did mathematics work before the introduction of the number zero?
Bases:
Has there been any society in history that developed a numbering system other than base-10?
Were there any ancient civilizations that used something other than base 10 for their mathematics?
Is there any instance of people counting with a number system other than base 10?
in /r/AskAnthropology: How ubiquitous is/was the base 10 numerical system now and throughout history?
... and this article looks interesting; while I can't access it, it has a nice graphic