Vladimir I. Arnold - Collected Works (Record no. 93130)
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| fixed length control field | 06273nam a22005295i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-642-31031-7 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220082515.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 131211s2014 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783642310317 |
| -- | 978-3-642-31031-7 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-642-31031-7 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC19.2-20.85 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBWH |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT003000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Arnold, Vladimir I. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Vladimir I. Arnold - Collected Works |
| Medium | [electronic resource] : |
| Remainder of title | Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 / |
| Statement of responsibility, etc | by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg : |
| -- | Imprint: Springer, |
| -- | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIII, 465 p. 20 illus. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Vladimir I. Arnold - Collected Works ; |
| Volume number/sequential designation | 2 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Variational principle for three-dimensional steady-state flows of an ideal fluid -- 2 On the Riemann curvature of diffeomorphism groups -- 3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French) -- 4 Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid -- 5 On the topology of three-dimensional steady flows of an ideal fluid -- 6 On an a priori estimate in the theory of hydrodynamical stability -- 7 On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids -- 8 On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability -- 9 Characteristic class entering in quantization conditions -- 10 A note on Weierstrass auxiliary theorem -- 11 A letter to the editors (in Russian) -- 12 The stability problem and ergodic properties for classical dynamical systems -- 13 Remark on the branching of hyperelliptic integrals as functions of the parameters -- 14 Singularities of smooth mappings -- 15 Braids of algebraic functions and the cohomology of swallowtails -- 16 Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid -- 17 Remarks on singularities of finite codimension in complex dynamical systems -- 18 One-dimensional cohomologies of the Lie algebras of non-divergence vector fields, and rotation numbers of dynamic systems -- 19 The cohomology ring of the colored braid group -- 20 Trivial problems -- 21 Cohomology classes of algebraic functions invariant under Tschirnhausen transformations -- 22 Local Problems of Analysis -- 23 Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations (in Russian) -- 24 On some topological invariants of algebraic functions -- 25 Topological invariants of algebraic functions II -- 26 Algebraic unsolvability of the problem of Ljapunov stability and the problem of the topological classification of singular points of an analytic system of differential equations -- 27 On matrices depending on parameters -- 28 Distribution of ovals of the real plane of algebraic curves of involutions of four-dimensional smooth manifolds and the arithmetic of integer valued quadratic forms -- 29 Versal families and bifurcations of differential equations (in Russian) -- 30 Notes on the three-dimensional flow pattern of a perfect fluid in the presence of a small perturbation of the initial velocity field -- 31 Lectures on bifurcations in versal families -- 32 The topology of real algebraic curves (in Russian) -- 33 The asymptotic Hopf invariant and its applications -- 34 Magnetic field in a moving conducting fluid -- 35 A magnetic field in a stationary flow with stretching in a Riemannian space -- 36 The large-scale structure of the universe I. General properties. One- and two-dimensional models -- 37 Elements of the large-scale structure of the universe -- 38 Some remarks on the antidynamo theorem -- 39 Steady-state magnetic field in a periodic flow -- 40 Evolution of a magnetic field under the action of transfer and diffusion -- 41 The growth of a magnetic field in a three-dimensional steady incompressible fluid -- 42 Evolution of a magnetic field under the action of drift and diffusion (in Russian) -- 43 Exponential scattering of trajectories and its hydrodynamical applications -- 44 Kolmogorov's hydrodynamic attractors -- 45 Topological methods in hydrodynamics -- 46 Problemes mathématiques de l'hydrodynamique et de la magnétohydrodynamique (in English) -- 47 Translator's Preface to J. Milnor's book "Morse Theory" -- 48 Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments -- 49 Comments on the paper "On a geometric theorem" by Henri Poincaré. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, algebraic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical physics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Applications in the Physical Sciences. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Methods in Physics. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Givental, Alexander B. |
| Relator term | editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Khesin, Boris A. |
| Relator term | editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Varchenko, Alexander N. |
| Relator term | editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vassiliev, Victor A. |
| Relator term | editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Viro, Oleg Ya. |
| Relator term | editor. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783642310300 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Vladimir I. Arnold - Collected Works ; |
| Volume number/sequential designation | 2 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-31031-7 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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