Is miami Beach and South beach the same city?

Visitors in Miami are often mistakenly using the following terminologies as the same location:

MIami, Miami Beach, South Beach. Please read the following article that compares and Miami Beach. Miami Beach lodging are abundant and dispersed throughout the all city from South Beach to North Beach.

Miami Beach is a city by itself, one of its neighborhoods is called South Beach. South Beach is one of the oldest neighborhoods of Miami Beach located in the South part of the city. For this reason Miami Beach city hall is located in South Beach. The most visited part of Miami Beach is also South Beach that spans from first street to around 22 street and Collins. Tourists will most of the time want to book a Miami Beach lodging located in South Beach. The art deco district is also located in the South Beach neighborhoods. Reserving a Miami Beach lodging located in South Beach will be for that reason more expensive that in North Beach or mid beach.