It is been some years since I completed my graduate studies in mathematics at a Spanish university. I remember one of the most pleasant and enriching moments I experienced was when reading Euclid´s Elements. This book taught me how modern maths is written and what classic geometry is all about. Also taught me a new way of thinking about maths.

Since I started learning maths, I have been curious about how maths developed in the Indian and Chinese cultures. This is why I wanted to ask the following question: Is there a book (or collections of books) that have been essential when developing mathematics in the Indian or Chinese cultures (similar to what Euclid´s Elements did in ancient Greece and Europe)?

PS: I have heard that Asians were a very advanced culture when talking about combinatory. Is there any reference for that?

  • 1
    $\begingroup$ On the subject of combinatorics you should study about Pingala. $\endgroup$
    – user10963
    May 10 at 10:35
  • $\begingroup$ China has "The Nine Chapters on the Mathematical Art". This is a monumental and fascinating work compiled sometime around 100 BC, and then annotated by Liu Hui in 263 AD. I have an English translation (S. Kanghsen, J. Crossley, and A.W.C. Lun) and it's one of my prized possessions. See the Wikipedia article for a list of contents and some history. $\endgroup$
    – Brant
    Aug 14 at 2:00

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