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Vladimir I. Arnold : = collected works /

Arnolʹd, V. I. (1937-2010.)

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Vladimir I. Arnold : = collected works /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Vladimir I. Arnold :/ edited by Alexander B. Givental ... [et al.]
其他題名:	collected works /
其他題名:	Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972
作者:	Arnolʹd, V. I.
其他作者:	Givental, Alexander B.
出版者:	Berlin :Springer, : 2009-.,
面頁冊數:	v. :ill. ;25 cm.
附註:	v. 1. Representations of functions, celestial mechanics and KAM theory, 1957-1965 --
標題:	Mathematics. -
ISBN:	9783642310300 (hbk.) :

Vladimir I. Arnold : = collected works /
Arnolʹd, V. I.1937-2010.

Vladimir I. Arnold :collected works /Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972edited by Alexander B. Givental ... [et al.] - Berlin :Springer,2009-. - v. :ill. ;25 cm.

v. 1. Representations of functions, celestial mechanics and KAM theory, 1957-1965 --

Includes bibliographical references.

A variational principle for three-dimensional steady flows of an ideal fluid -- v.2 --

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.

ISBN: 9783642310300 (hbk.) :EUR109.95 (v.2)

LCCN: 2013937321Subjects--Topical Terms:

515831
Mathematics.

LC Class. No.: QA39.3

Dewey Class. No.: 510

Vladimir I. Arnold : = collected works /
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100 1 $a Arnolʹd, V. I. $q (Vladimir Igorevich), $d 1937-2010. $3 2070402
245 1 0 $a Vladimir I. Arnold : $b collected works / $c edited by Alexander B. Givental ... [et al.]
246 3 0 $a Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972
260 # $a Berlin : $b Springer, $c 2009-.
300 $a v. : $b ill. ; $c 25 cm.
500 $a v. 1. Representations of functions, celestial mechanics and KAM theory, 1957-1965 -- $a v. 2. Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972
504 $a Includes bibliographical references.
505 0 # $g v.2 -- $t A variational principle for three-dimensional steady flows of an ideal fluid -- $t On the Riemann curvature of diffeomorphism groups -- $t Sur la topologie des écoulements stationnaires des fluides parfaits (French) -- $t Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid -- $t On the topology of three-dimensional steady flows of an ideal fluid -- $t On an a priori estimate in the theory of hydrodynamical stability -- $t On the differential geometry of infinite-dimensional Lie groups and its applications to the hydrodynamics of perfect fluids -- $t On a variational principle for the steady flows of perfect fluids and its applications to problems of non-linear stability -- $t On a characteristic class arising in quantization conditions -- $t A note on the Weierstrass preparation theorem -- $t The stability problem and ergodic properties for classical dynamical systems -- $t A remark on the ramification of hyperelliptic integrals as functions of parameters -- $t Singularities of smooth mappings -- $t Remarks on singularities of finite codimension in complex dynamical systems -- $t Braids of algebraic functions and the cohomology of swallowtails -- $t Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid -- $t On the one-dimensional cohomology of the Lie algebra of divergence-free vector fields and rotation numbers of dynamical systems -- $t The cohomology ring of the colored braid group -- $t On cohomology classes of algebraic functions invariant under Tschirnhausen transformations -- $t Trivial problems -- $t Local problems of analysis -- $t Algebraic unsolvability of the problem of stability and the problem of topological classification of singular points of analytic systems of differential equations (Russian) -- $t On some topological invariants of algebraic functions -- $t Topological invariants of algebraic functions II -- $t Algebraic unsolvability of the problem of Lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations -- $t On the arrangement of ovals of real plane algebraic curves, involutions of four-dimensional smooth manifolds, and the arithmetic of integral quadratic forms -- $t The topology of real algebraic curves (works of I.G. Petrovsky and their development) -- $t On matrices depending on parameters -- $t Lectures on bifurcations in versal families -- $t Versal families and bifurcations of differential equations (Russian) -- $t Remarks on the behaviour of a flow of a three-dimensional ideal fluid in the presence of a small perturbation of the initial vector field -- $t The asymptotic Hopf invariant and its applications -- $t A magnetic field in a moving conducting fluid (with Ya. B. Zeldovich, A.A. Ruzmaikin, and D.D. Sokolov) -- $t A magnetic field in a stationary flow with stretching in a Riemannian manifold (with Ya. B. Zeldovich, A.A. Ruzmaikin, and D.D. Sokolov) -- $t Stationary magnetic field in a periodic flow (with Ya. B. Zeldovich, A.A. Ruzmaikin, and D.D. Sokolov) -- $t 3Some remarks on the antidynamo theorem -- $t Evolution of a magnetic field under the action of transfer and diffusion -- $t The growth of a magnetic field in a three-dimensional steady incompressible flow (with E.I.Korkina) -- $t On evolution of a magnetic field under the action of drift and diffusion (Russian) -- $t Exponential scattering of trajectories and its hydrodynamical applications -- $t Kolmogorov's hydrodynamic attractors -- $t Topological methods in hydrodynamics (with B.A. Khesin) -- $t Translator's preface to J. Milnor's book "Morse theory" -- $t Henri Poincaré : selected works in three volumes. Vol. 1 New methods of celestial mechanics--preface from the editorial board. Comments -- $t Comments on the paper "On a geometric theorem" by Henri Poincaré.
520 # $a Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.
650 # 0 $a Mathematics. $3 515831
650 # 0 $a Hydrodynamics. $3 561030
650 # 0 $a Bifurcation theory. $3 544229
650 # 0 $a Geometry, Algebraic. $3 532048
700 1 # $a Givental, Alexander B. $3 2057837
740 0 2 $a Hydrodynamics, bifurcation theory, and algebraic geometry, 1965-1972.
740 0 2 $a Collected works.