{"product_id":"cartan-elie-theory-of-finite-continuous-groups-and-differential-geometry-teoriya-konechnykh-nepreryvnykh-grupp-i-differentsialnaya-geometriya-first-russian-edition-1963-in-russian","title":"Cartan, Élie. Theory of Finite Continuous Groups and Differential Geometry (Teoriya konechnykh nepreryvnykh grupp i differentsial'naya geometriya). First Russian edition, 1963. In Russian.","description":"\u003cp\u003eКартан, Эли. Теория конечных непрерывных групп и дифференциальная геометрия, изложенные методом подвижного репера \/ перевод с французского профессора С. П. Финикова.\u003cbr\u003eМосква : Издательство Московского университета, 1963. 368 страниц ; увеличенный формат.\u003cbr\u003eТвердый переплет. Тираж 6 000 экземпляров.\u003cbr\u003eПервое русское издание (французский оригинал: 1930).\u003cbr\u003eПереплет хороший: поверхностные потертости по всей площади крышек. Блок хороший: бумага слегка потемневшая, шитье крепкое, текст полный.\u003cbr\u003e***\u003cbr\u003eCartan, Élie (1869-1951). Theory of Finite Continuous Groups and Differential Geometry, Treated by the Method of the Moving Frame \/ translated from the French by Prof. S. P. Finikov.\u003cbr\u003eMoscow : Moscow University Press, 1963. 368 pp. ; increased format.\u003cbr\u003eHardcover. Print run of 6,000 copies.\u003cbr\u003eFirst Russian edition (French original: 1930).\u003cbr\u003eBinding good: surface rubbing across the boards. Text block good: paper lightly toned, sewing firm, text complete throughout.\u003c\/p\u003e\n\u003cp\u003eThe first and only Russian edition of a foundational work by one of the greatest differential geometers of the twentieth century. Élie Cartan was born in 1869 in Dolomieu, in the French Alps, the son of a village blacksmith; his exceptional early promise earned him a scholarship path that led to the École Normale Supérieure and, eventually, to a professorship at the University of Paris. His 1894 doctoral dissertation laid the algebraic foundations for the structure theory of Lie groups, and he went on to develop the theory of exterior differential forms and differential systems, the moving-frame method presented in this volume, and, in 1913, the mathematical theory of spinors, discovered years before physicists found them indispensable to quantum mechanics. The moving-frame method collected here, attaching a frame of reference to each point of a curve or surface and tracking its motion through the structure equations he formulated with Darboux and Maurer, remains a standard technique in differential geometry and underlies the tetrad formalism used in general relativity. He was the father of Henri Cartan, the equally distinguished twentieth-century mathematician and founding Bourbaki member. The translator, Sergei Pavlovich Finikov, was himself a leading figure in Soviet differential geometry and one of the principal conduits through which Cartan's exterior-forms methods entered Russian mathematics, having earlier written his own monograph on Cartan's method of exterior forms.\u003c\/p\u003e","brand":"Stanza Rare Books","offers":[{"title":"Default Title","offer_id":44658936152106,"sku":null,"price":60.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0701\/6359\/5306\/files\/IMG_1210.jpg?v=1786036831","url":"https:\/\/stanzararebooks.com\/products\/cartan-elie-theory-of-finite-continuous-groups-and-differential-geometry-teoriya-konechnykh-nepreryvnykh-grupp-i-differentsialnaya-geometriya-first-russian-edition-1963-in-russian","provider":"Stanza Rare Books","version":"1.0","type":"link"}