It is a successor to the various Cours d'Analyse by Augustin-Louis Cauchy, Camille Jordan, and Édouard Goursat.
Volume VI consists of chapter XXII on harmonic analysis (mostly on locally compact groups) Volume VII consists of the first part of chapter XXIII on linear functional equations.
Volume VIII consists of the second part of chapter XXIII on linear functional equations.
Volume IX contains chapter XXIV on elementary differential topology.
Dieudonne planned a final volume containing chapter XXV on nonlinear problems, but this was never published.