Cartan, Henri. Differential Calculus. Differential Forms (Differentsial'noe ischislenie. Differentsial'nye formy). First Russian edition, 1971.

Картан, Анри. Дифференциальное исчисление. Дифференциальные формы / перевод с французского Б. К. Калякина и А. Н. Тюрина ; под редакцией Б. А. Фукса.
Москва : Мир, 1971. 392 страницы ; 22 x 15 см.
Твердый издательский переплет.
Первое русское издание, объединяющее два отдельных французских тома (Calcul différentiel и Formes différentielles, Hermann, Paris, 1967) в одну книгу с единой нумерацией глав - по совету самого автора.
Переплет очень хороший: ткань чистая, без пятен и потертостей. Блок очень хороший: бумага слегка потемневшая от времени, шитье крепкое, текст полный.
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Cartan, Henri (1904-2008). Differential Calculus. Differential Forms / translated from the French by B. K. Kalyakin and A. N. Tyurin ; edited by B. A. Fuks.
Moscow : Mir Publishing House, 1971. 392 pp. ; 22 x 15 cm.
Hardcover.
First and only Russian edition, combining the two separate French volumes (Calcul différentiel and Formes différentielles, Hermann, Paris, 1967) into a single book with unified chapter numbering, at the author's own suggestion.
Binding very good: cloth clean, no stains or rubbing. Text block very good: paper lightly toned with age, sewing firm, text complete throughout.

The first Russian edition of a lecture course by one of twentieth-century France's most influential mathematicians. Henri Cartan (1904-2008) was the son of Élie Cartan, the geometer who originated the theory of differential forms, and one of the founding members of the Bourbaki collective in 1934; his postwar seminar at the École Normale Supérieure trained a generation of leading mathematicians, including Jean-Pierre Serre and Alexander Grothendieck, both future Fields Medalists. His own principal contributions lay in sheaf theory, homological algebra (developed jointly with Samuel Eilenberg in their celebrated 1956 book), and the theory of several complex variables. The present volume reproduces his lectures for the "Mathématique II" course at the University of Paris, covering differential calculus and differential equations in Banach spaces, the theory of differential forms and the multivariable integration built upon it, and an introduction to the calculus of variations and to the moving-frame method in the differential geometry of curves and surfaces, a technique his father had likewise pioneered; one commentator has described the book as a kind of monument to the elder Cartan's creation of exterior form theory. Beyond mathematics, Cartan was a prominent human-rights campaigner from the 1970s onward, leading the international mathematicians' committee that secured the 1976 release of the Soviet dissident mathematician Leonid Plyushch from psychiatric confinement and advocating for persecuted mathematicians worldide, work that stood in pointed contrast to the political climate in which this very book found Soviet readers through Mir's translation program.