The American Revolutionary War (1775–1783), the American War of Independence, or simply the Revolutionary War in the United States, began as a war between the Kingdom of Great Britain and the Thirteen Colonies, but gradually grew into a world war between Britain on one side and the newly formed United States, France, Netherlands, Spain, and Mysore on the other. The main result was an American victory and European recognition of the independence of the United States, with mixed results for the other powers. The war was the result of the political American Revolution.
In London, as political support for the war plummeted after Yorktown, British Prime Minister Lord North resigned in March 1782. In April 1782, the Commons voted to end the war in America. Preliminary peace articles were signed in Paris at the end of November, 1782; the formal end of the war did not occur until the Treaty of Paris (for the U.S.) and theTreaties of Versailles (for the other Allies) were signed on September 3, 1783. The last British troops left New York City on November 25, 1783, and the United States Congress of the Confederation ratified the Paris treaty on January 14, 1784.
Britain negotiated the Paris peace treaty without consulting her Native American allies and ceded all Native American territory between the Appalachian Mountains and the Mississippi River to the United States. Full of resentment, Native Americans reluctantly confirmed these land cessions with the United States in a series of treaties, but the fighting would be renewed in conflicts along the frontier in the coming years, the largest being the Northwest Indian War. The British would continue to support the Indians against the new American nation especially when hostilities resumed 29 years later in the War of 1812.
As a result of this war, the thirteen colonies were free to create a new government with their own flag, map and a constituion.
Here there are some videos about the colonization