советское значит отличное
Косма Шализи довольно точно характеризует стиль советской математической литературы:
I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random ProcessesИменно. За это и любим.
This is an "Introduction" for people who are already familiar with measure-theoretic probability (though there is a one-chapter summary, intended as a refresher). It is at once quite thorough, and assumes a high level of mathematical maturity and comfort with abstractions, and very practical, and assumes the reader doesn't mind pages of calculations. (This strikes me as very Soviet.)
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rugaetsya - na chrezmernuyu "abstraktnost'".
A tut lyudi, naoborot, hotyat vse "yavno" vypisat' -
no esli eto vse vremya delat', to tozhe chert znaet
chto vyjdet
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так что тут вопрос стилистики.
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pro "intuitivnoe" i "detal'noe". Nikakoj intuitivnosti
v t.n. "invariantnom vide" net, eto vse sovershenno strogo.
A differencial'nuyu formu tozhe mozhno zapisat' v koordinatah,
ona ot etogo ne perestanet byt' diff. formoj. Novikov na nih
serdit'sya ne mog - eto vse ravno chto na funkcii serdit'sya
(t.k. eto tochno takoj zhe osnovnoj matematicheskij ob'ekt).
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мне один новиковец кучу сплетен зачем-то пересказывал - вот и всплывают.