@PotomacBobIn North America most bows were fashioned rapidly, and from unseasoned wood. That was all they needed, so they never really developed the art of bow making as was done in Europe, Asia, and to a lesser degree in the Middle East.
Europe and Asia both developed Short Bows in ancient times (and they remained in use for hunting, and sometimes by peasant levies or poor bandits into at least the 19th Century). For various reasons (not the least being physical size and strength of Roman skirmishers or axillaries) the Romans developed a form of crossbow using mechanical strength rather than physical strength. Continental Europe continued that method.
The Welsh, and later the English learned to selectively fashion bows made from specially selected parts of Yew trees, making use of layers, in particular the "heartwood" of the Yew tree. They also seasoned (aged) the wood to obtain desired qualities. Mongols, Scythians, and Parthians used bone, horn, and other materials. They would often stretch their recurve bows all winter long (in reverse of the way it would be strung to shoot) to provide increased tension (power).
The Pre-Columbian peoples of North America didn't need to put as much effort into construction of bows. Trees to produce suitable materials were uncommon, and unknown to those people. After the arrival of the Europeans, obtaining firearms was more practical than further developing their bows (although they continued to use them for hunting, and for combat into the 20th century).
That is the abridged "Readers Digest" version.