A collection of influential jazz standards that together define American musical history for much of the twentieth century is referred to as what?
The Great Jazz Standard Book
The Great American Standards
The Great Jazz Songbook
The Great American Songbook

The Great American Songbook

Explanation:

"The Great American Songbook" is a collection and canon of the most significant jazz standards and popular song that influences American culture from the beginning of the 20th century and continues to do so today. It is sometimes referred to simply “American Standards”.

Some of the artists included are Harold Arlen, Cole Porter, George Gershwin, and Richard Rodgers. It also includes many popular Broadway, Hollywood, and theater music pieces. They are considered to be basic knowledge of all jazz musicians, even in the modern age.