This is a continuation of yesterday's point regarding Bach's ability to compose for the unaccompanied soloist. Nathan Milstein (d. 1992), violinist, glided through this movement with sparkling energy, conviction, and grace.
Often, you will see cryptic-looking numbers next to titles of classical works. These are catalog numbers. Since there are so many classical pieces with the same generic titles (such as Air, Suite No. 3, Concerto No.1), catalog numbers ensure that each work has its own distinct identification. Bach's works are cataloged using the preface "BMV," which stands for Bach-Werke-Verzeichnis ( Bach Works Catalogue).