Elements of Mathematics. Integration II by Nicolas Bourbaki, Sterling K. Berberian

Mathematics

By Nicolas Bourbaki, Sterling K. Berberian

IntГ©gration is the 6th and final of the Books that shape the center of the Bourbaki sequence; it attracts abundantly at the previous 5 Books, especiallyВ General Topology andВ  Topological Vector areas, making it a end result of the center six. the facility of the instrument therefore formed is strikingly displayed in bankruptcy II of the author'sВ ThГ©ories Spectrales [MRВ  35 #4725], an exposition, in an insignificant 38 pages, of summary harmonic research and the constitution of in the community compact abelian groups.

The first quantity of the English translation includes Chapters 1-6; the presentВ volume completes the interpretation with the rest Chapters 7-9.

Chapters 1-5 acquired very giant revisions in a moment variation, together with alterations to a few basic definitions. Chapters 6-8 are according to the 1st versions of Chs. 1-5. The English variation has given the writer the chance to right misprints, replace references, make clear the concordance of bankruptcy 6 with the second one variations of Chapters 1-5, and revise the definition of a key inspiration in bankruptcy 6 (measurable equivalence relations).

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Leur rôle social est de produire alors ils produisent. Maintenant qui lit leurs articles ? Là c'est de l'ordre de la sociologie des intellectuels. Les revues mathématiques vendent aux bibliothèques, donc ce qu'il faut ce n'est pas que la production soit intéressante, mais qu'il y ait suffisamment de membres d'un groupe pour qu'on demande au bibliothécaire d'acheter la revue. Ce phénomène sera limité non par la qualité mathématique mais par la loi de l'offre et de la demande. Le journal of mathematical chiromancy cessera de paraître quand il n'aura plus de souscripteurs quelque soit la qualité des articles !

Il transpose ses connaissances d'un endroit à un autre. Notez qu'il n'a pas su reconnaître Bachelier14. Il a dit à propos de sa thèse qu'il y avait des idées mais que ce n'était pas rigoureux. — Écoutez, c'est le moins qu'on puisse dire ! Voyons, combien de thèses de maths sont rigoureusement justes et rigoureusement inintéressantes ! Mais dire que Poincaré est une de mes lectures favorites, non, les styles changent. Pour un exposé à l'Académie j'ai relu récemment Poisson. J'ai choisi deux pages d'un mémoire de cents pages de 1822.

Là, je crois que tu utilise le terme de vrai mathématicien de façon très subjective. J'ai plaisir à expliquer, ce n'est pas un plaisir mathématique. — Les mathématiques sont aussi ça je crois. Ce n'est pas fondamentalement mathématique, il y a des chimistes qui ont plaisir à expliquer. Pauling par exemple est quelqu'un qui expliquait bien. Un pédagogue. 21 P. Lévy, Quelques aspects de la pensée d'un mathématicien, A. Blanchard, 1970. 38 — Ça va au delà, tu es un de ceux qui ont plaisir à transmettre que les choses que tu fais sont intéressantes, or ça, il me semble que c'est le style des mathématiques de demain.

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