Tell me about the form of this waltz. How would you divide it into sections?
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Introduction (bars 1 to 8), A (bar 9), B (bar 25), A (bar 41), C in E major (bar 58), A′ (bar 100) and the coda (bar 112).
The repeat sign at bar 25 means B and A are played twice, so you hear Intro–A–B–A–B–A–C–A′–Coda, while the printed order is Intro–A–B–A–C–A′–Coda. That is why books call it ternary with an introduction, or a modified rondo: both describe the same music.
It is not in sonata form, so say A, B and C, not first and second subject.