Source: http://www.hr.tpu.ru/read/geometry-of-differential-equations
Timestamp: 2019-04-20 11:12:26+00:00

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Fibre bundles, now a vital part of differential geometry, also are of significant significance in smooth physics - corresponding to in gauge thought. This e-book, a succinct creation to the topic by way of renown mathematician Norman Steenrod, was once the 1st to offer the topic systematically. It starts off with a basic creation to bundles, together with such themes as differentiable manifolds and overlaying areas.
The purpose of those lecture notes is to provide an basically self-contained creation to the fundamental regularity idea for power minimizing maps, together with fresh advancements in regards to the constitution of the singular set and asymptotics on method of the singular set. really expert wisdom in partial differential equations or the geometric calculus of adaptations is no longer required.
V. Mamontov, V. M. Men'shikov, and V. V. Pukhnachev, "Group analysis of differential equations," in: Fundamental Studies of the Physical-Mathematical and Technical Sciences [in Russian], Nauka, Novosibirsk (1977), pp. 4043. L. N. Orlova, "A system of two partial differential equations of the first and second order for two functions of two independent variables," Uch. Zap. Mosk. Gos. Pedagog. Inst. im. V. I. Lenina, 271, No. 7, 103-112 (1967). L. N. Orlova, "Geometry of a quasilinear systems consisting of one first and one second order partial differential equation," in: Geometry of Homogeneous Spaces [in Russian], Moscow (1976), pp.
L. V. Ovsyannikov, N. Kh. Ibrigimov, E. V. Mamontov, V. M. Men'shikov, and V. V. Pukhnachev, "Group analysis of differential equations," in: Fundamental Studies of the Physical-Mathematical and Technical Sciences [in Russian], Nauka, Novosibirsk (1977), pp. 4043. L. N. Orlova, "A system of two partial differential equations of the first and second order for two functions of two independent variables," Uch. Zap. Mosk. Gos. Pedagog. Inst. im. V. I. Lenina, 271, No. 7, 103-112 (1967). L. N. Orlova, "Geometry of a quasilinear systems consisting of one first and one second order partial differential equation," in: Geometry of Homogeneous Spaces [in Russian], Moscow (1976), pp.
229-231. V. B. Tret'yakov, L. E. Evtushik, and N. V. Stepanov, "Reductive Cartan connection, associated with the space of m-extents over second order tangency support elements," in: Proceedings of the Seminar of the Department of Geometry. Kazan University [in Russian], Vol. 8, 89-94 (1975). V. A. Truppova, "Structual equations of the space of one-dimensional second order tangent elements," [in Russian], Irkutsk. Politekh. Inst. ). V. A. Truppova, "Intrinsic fundamental object of the surface V=~+~," [in Russian], Irkutsk.

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