See any anthropology text. These are standard definitions for the races of man. "White" = Caucasoid, "Black" = Negroid, Asian (and their American descendants via the Bering Straits during the last Ice Age---American Indians) = Mongoloid. Sometimes the Australian aborigines are included in a separate category called "Australoid".
The "Asian" = "American Indian" = Mongoloid is proven by many different scientific studies, including genetic DNA analysis.
Google Mongoloid and "American Indian" for lots of info:
http://debussy.hon.ch/cgi-bin/HONselect?browse+I01.076.201.450.416.403
Indians, North American
Definition: An ethnic group belonging to the Mongoloid racial stock in North America.
Thanks!