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The piece is in three movements, and takes approximately 43 minutes to perform:
Adagio sostenuto - Presto - Adagio (about 15 minutes in length)
Andante con variazioni (about 18 minutes)
Presto (about 10 minutes)
The sonata opens with a slow 18-bar introduction, of which only the first four bars of the solo violin are in the A-Major-key. The piano enters, and the harmony begins to turn darker towards the minor key, until the main body of the movement — an angry A-minor Presto— begins. Here, the piano part matches the violin's in terms of difficulty. Near the end, Beethoven brings back part of the opening Adagio, before closing the movement in an anguished coda.
There could hardly be a greater contrast with the second movement, a placid tune in F major followed by five distinctive variations. The first variation transliterates the theme into a lively triple meter while embellishing it with trills, while in the second the violin steals the melody and enlivens it even further. The third variation, in the minor, returns to a darker and more meditative state. The fourth recalls the first and second variations with its light, ornamental, and airy feel. The fifth and final variation, the longest, caps the movement with a slower and more dramatic feel, nevertheless returning to the carefree F major.
The calm is broken by a crashing A major chord in the piano, ushering in the virtuosic and exuberant third movement, a 6/8 tarantella in rondo form. After moving through a series of slightly contrasting episodes, the theme returns for the last time, and the work ends jubilantly in a rush of A major.
This finale was originally composed for another, earlier, sonata for violin and piano by Beethoven, the Op. 30, no. 1, in A major. (Wikipedia)
