On more than one occasion I have been told that the B-Tree index is the index structure which was designed after the A-Tree index. Another common misconception is that it stands for Binary-Tree. As logical as those may seem, they are false. The ‘B’ in B-Tree does not actually have any specific meaning. Check out Ed McCreight’s explanation here (16:08) where he admits that the name discussion was never settled.
In its most basic form, the B-Tree index is a hierarchy of data pages (page structures lightly touched on in the next post of this series). The lowest level is called the leaf level, the highest level is the index root, and all levels in between are the intermediate levels. This structure is an improvement over the Binary Tree index because its balanced nature greatly improved the performance of maintenance operations such as, INSERT, DELETE, and UPDATE.
On the terminological point, I’d always heard that the “B” stood for “Balanced” because of the level flatness—in contrast to a “normal” tree, you wouldn’t have more than a pre-defined number of levels separation (usually one) between leaf nodes.