Did the mammoths became extinct because the ice age was over?

Excluding a population of dwarf woolly mammoths on Wrangel Island (which lasted until 3,700 years ago), woolly mammoths became extinct 10,000 years ago. Scientists are not sure what caused the extinction of the woolly mammoths, but they have a few theories. Theories include climate change at the end of the Ice Age, human induced diseases, and human overhunting. It could have also been any combination of the above.