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Treatise on Analysis
Treatise on Analysis is a translation by Ian G. Macdonald of the nine-volume work Éléments d'analyse on mathematical analysis by Jean Dieudonné, and is an expansion of his textbook Foundations of Modern Analysis. It is a successor to the various Cours d'Analyse by Augustin-Louis Cauchy, Camille Jordan, and Édouard Goursat.
The first volume was originally a stand-alone graduate textbook with a different title. It was first written in English and later translated into French, unlike the other volumes which were first written in French. It has been republished several times and is much more common than the later volumes of the series.
The contents include
The second volume includes
The third volume includes chapter XVI on differential manifolds and chapter XVII on distributions and differential operators.
The fourth volume includes
Volume V consists of chapter XXI on compact Lie groups.
Volume VI consists of chapter XXII on harmonic analysis (mostly on locally compact groups)
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Treatise on Analysis
Treatise on Analysis is a translation by Ian G. Macdonald of the nine-volume work Éléments d'analyse on mathematical analysis by Jean Dieudonné, and is an expansion of his textbook Foundations of Modern Analysis. It is a successor to the various Cours d'Analyse by Augustin-Louis Cauchy, Camille Jordan, and Édouard Goursat.
The first volume was originally a stand-alone graduate textbook with a different title. It was first written in English and later translated into French, unlike the other volumes which were first written in French. It has been republished several times and is much more common than the later volumes of the series.
The contents include
The second volume includes
The third volume includes chapter XVI on differential manifolds and chapter XVII on distributions and differential operators.
The fourth volume includes
Volume V consists of chapter XXI on compact Lie groups.
Volume VI consists of chapter XXII on harmonic analysis (mostly on locally compact groups)