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1. Experimental mathematics [2015]
 Eksperimentalnoe nablyudenie matematicheskikh faktov. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010, author.
 Berkeley, California : MSRI Mathematical Sciences Research Institute ; Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — vii, 158 pages : illustrations ; 22 cm.
 Summary

 Introduction The statistics of topology and algebra Combinatorial complexity and randomness Random permutations of Young diagrams of their cycles The geometry of Frobenius numbers for additive semigroups Bibliography.
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(source: Nielsen Book Data) 9780821894163 20160618
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QA9 .A7613 2015  Unknown 
 Mathematicheskoe ponimanie prirody. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010.
 Providence, Rhode Island : AMS, American Mathematical Society, [2014]
 Description
 Book — xiv, 167 pages : illustrations ; 22 cm
 Summary

 The eccentricity of the Keplerian orbit of Mars Rescuing the empennage Return along a sinusoid The Dirichlet integral and the Laplace operator Snell's law of refraction Water depth and Cartesian science A drop of water refracting light Maximal deviation angle of a beam The rainbow Mirages Tide, Gibbs phenomenon, and tomography Rotation of a liquid What force drives a bicycle forward? Hooke and Keplerian ellipses and their conformal transformations The stability of the inverted pendulum and Kapitsa's sewing machine Space flight of a photo camera cap The angular velocity of a clock hand and Feynman's oselfpropagating pseudoeducationo Planetary rings Symmetry (and Curie's principle) Courant's erroneous theorems Illposed problems of mechanics Rational fractions of flows Journey to the center of the earth Mean frequency of explosions (according to Ya. B. Zel'dovich) and de Sitter's world The Bernoulli fountains of the Nikologorsky bridge Shape formation in a threeliter glass jar Lidov's moon landing problem The advance and retreat of glaciers The ergodic theory of geometric progressions The Malthusian partitioning of the world Percolation and the hydrodynamics of the universe Buffon's problem and integral geometry Average projected area The mathematical notion of potential Inversion in cylindrical mirrors in the subway Adiabatic invariants Universality of Hack's exponent for river lengths Resonances in the Shukhov tower, in the Sobolev equation, and in the tanks of spinstabilized rockets The theory of rigid body rotation and hydrodynamics.
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(source: Nielsen Book Data) 9781470417017 20160619
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QA39 .A7413 2014  Unknown 
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010.
 Cambridge, UK ; New York : Cambridge University Press, 2011.
 Description
 Book — x, 80 p. : ill. ; 24 cm.
 Summary

 Preface
 1. What is a Galois field?
 2. The organisation and tabulation of Galois fields
 3. Chaos and randomness in Galois field tables
 4. Equipartition of geometric progressions along a finite onedimensional torus
 5. Adiabatic study of the distribution of geometric progressions of residues
 6. Projective structures generated by a Galois field
 7. Projective structures: example calculations
 8. Cubic field tables Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780521872003 20160605
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QA247.3 .A76 2011  Unknown 
 Matematicheskie aspekty klassicheskoĭ i nebesnoĭ mekhaniki. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010.
 3rd [rev. and exp.] ed.  Berlin ; New York : Springer, 2006.
 Description
 Book — xiii, 518 p. : ill. ; 24 cm.
 Summary

 1 Basic Principles of Classical Mechanics.
 2 The nBody Problem.
 3 Symmetry Groups and Order Reduction.
 4 Variational Principles and Methods.
 5 Integrable Systems and Integration Methods.
 6 Perturbation Theory for Integrable Systems.
 7 NonIntegrable Systems.
 8 Theory of Small Oscillations.
 9 Tensor Invariants of Equations of Dynamics. Recommended Reading. Bibliography.
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(source: Nielsen Book Data) 9783540282464 20160528
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QA805 .D5613 1988 V.3:ED.3  Unknown 
 Lekt͡sii ob uravnenii͡akh s chastnymi proizvodnymi. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 Berlin ; New York : SpringerVerlag, c2004.
 Description
 Book — x, 157 p. : ill. ; 24 cm.
 Summary

 Preface to the Second Russian Edition.
 1. The General Theory to one FirstOrder Equation.
 2. The General Theory to one FirstOrder Equation (Continued).
 3. Huygens' Principle in the Theory of Wave Propagation.
 4. The Vibrating String (d'Alembert's Method).
 5. The Fourier Method (for the Vibrating String).
 6. The Theory of Oscillations. The Variational Principle.
 7. The Theory of Oscillations. The Variational Principle (Continued).
 8. Properties of Harmonic Functions.
 9. The Fundamental Solution for the Laplacian. Potentials.
 10. The Double Layer Potential.
 11. Spherical Functions. Maxwell's Theorem. The Removable Singularities Theorem.
 12. Boundary Value Problems for Laplace's Equation. Theory of Linear Equations and Systems. A. The Topological Content of Maxwell's Theorem on the Multifield Representation of Spherical Functions. B. Problems.
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(source: Nielsen Book Data) 9783540404484 20160528
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QA377 .A815 2004  Unknown 
 2nd, exp. and rev. ed.  Berlin ; New York : Springer, 2001.
 Description
 Book — 335 pages : ill. ; 25 cm.
 Summary

 Symplectic Geometry. Geometric Quantization. Integrable Systems. I.
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(source: Nielsen Book Data) 9783540626350 20160618
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QA805 .D5613 1988 V.4:ED.2  Unknown 
7. Mathematics : frontiers and perspectives [2000]
 Providence, R.I. : American Mathematical Society, c2000.
 Description
 Book — xi, 459 p. : ill. ; 26 cm.
 Summary

 A. Baker and G. W stholz, Number theory, transcendence and Diophantine geometry in the next millennium J. Bourgain, Harmonic analysis and combinatorics  How much may they contribute to each other? S.S. Chern, Back to Riemann A. Connes, Noncommutative geometry and the Riemann zeta function S.K. Donaldson, Polynomials, vanishing cycles and Floer homology W.T. Gowers, The two cultures of mathematics V.F R. Jones, Ten problems D. Kazhdan, An algebraic integration F. Kirwan, Mathematics  The right choice? P.L. Lions, On some challenging problems in nonlinear partial differential equations A.J. Majda, Real world turbulence and modern applied mathematics Yu. I. Manin, Mathematics as profession and vocation G. Margulis, Problems and conjectures in rigidity theory D. McDuff, A glimpse into symplectic geometry S. Mori, Rational curves on algebraic varieties D. Mumford, The dawning of the age of stochasticity R. Penrose, Mathematical physics of the 20th and 21st centuries K F. Roth, Limitations to regularity D. Ruelle, Conversations on mathematics with a visitor from outer space P. Sarnak, Some problems in number theory, analysis and mathematical physics S. Smale, Mathematical problems for the next century R.P. Stanley, Positivity problems and conjectures in algebraic combinatorics C. Vafa, On the future of mathematics/physics interaction A. Wiles, Twenty years of number theory E. Witten, Magic, mystery, and matrix S.T. Yau, Review of geometry and analysis. (Part contents.).
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(source: Nielsen Book Data) 9780821820704 20160527
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QA7 .M34457 2000  Unknown 
8. The Arnoldfest : proceedings of a conference in honour of V.I. Arnold for his sixtieth birthday [1999]
 Providence, R.I. : American Mathematical Society, c1999.
 Description
 Book — xvii, 555 p. : ill. ; 27 cm.
 Summary

 From Hilbert's superposition problem to dynamical systems by V. I. Arnold Recollections by J. Moser Symplectization, complexification and mathematical trinities by V. I. Arnold Topological problems in wave propagation theory and topological economy principle in algebraic geometry by V. I. Arnold Geometry and control of threewave interactions by M. S. Alber, G. G. Luther, J. E. Marsden, and J. M. Robbins Standard basis along a Samuel stratum, and implicit differentiation by E. Bierstone and P. D. Milman A global weighted version of Bezout's theorem by J. Damon Real Enriques surfaces without real points and EnriquesEinsteinHitchin 4manifolds by A. Degtyarev and V. Kharlamov On the index of a vector field at an isolated singularity by W. Ebeling and S. M. GuseinZade The exponential map on $\mathcal{D}^s_\mu$ by D. G. Ebin and G. Misiolek Zeldovich's neutron star and the prediction of magnetic froth by M. H. Freedman Arnold conjecture and GromovWitten invariant for general symplectic manifolds by K. Fukaya and K. Ono Multiplicity of a zero of an analytic function on a trajectory of a vector field by A. Gabrielov Singularity theory and symplectic topology by A. B. Givental On enumeration of meromorphic functions on the line by V. V. Goryunov and S. K. Lando Pseudoholomorphic curves and dynamics by H. Hofer and E. Zehnder Bifurcation of planar and spatial polycycles: Arnold's program and its development by Yu. S. Ilyashenko and V. Yu. Kaloshin Singularity which has no $M$smoothing by V. M. Kharlamov, S. Yu. Orevkov, and E. I. Shustin Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces by B. Khesin and A. Rosly Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations by A. Khovanskii Interactions of AndronovHopf and BogdanovTakens bifurcations by W. F. Langford and K. Zhan Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group $E_{\tau, \eta}sl_2$ by E. Mukhin and A. Varchenko Schrodinger operators on graphs and symplectic geometry by S. P. Novikov On the dominant Fourier modes in the series associated with separatrix splitting for an apriori stable, three degreeoffreedom Hamiltonian system by M. Rudnev and S. Wiggins Homology of $i$connected graphs and invariants of knots, plane arrangements, etc. by V. A. Vassiliev On Arnold's variational principles in fluid mechanics by V. A. Vladimirov and K. I. Ilin On functions and curves defined by ordinary differential equations by S. Yakovenko Global finiteness properties of analytic families and algebra of their Taylor coefficients by Y. Yomdin.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780821809457 20160528
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QA614.58 .A78 1999  Unknown 
9. Singularities and bifurcations [1994]
 Providence, R.I. : American Mathematical Society, c1994.
 Description
 Book — x, 262 p. : ill. ; 27 cm.
 Summary

 Treelike curves by F. Aicardi Plane curves, their invariants, perestroikas and classifications by V. I. Arnold The framed Morse complex and its invariants by S. A. Barannikov Vassiliev knot invariants I. Introduction by S. V. Chmutov, S. V. Duzhin, and S. K. Lando Vassiliev knot invariants II. Intersection graph conjecture for trees by S. V. Chmutov, S. V. Duzhin, and S. K. Lando Vassiliev knot invariants III. Forest algebra and weighted graphs by S. V. Chmutov, S. V. Duzhin, and S. K. Lando Symmetric quartics with many nodes by V. V. Goryunov Subprincipal Springer cones and morsifications of Laurent polynomials and $D_\mu$ singularities by V. V. Goryunov On the enumeration of curves from infinity to infinity by S. M. GuseinZade On the classification of ornaments by A. B. Merkov Boundary singularities: Topology and duality by I. Shcherbak and A. Szpirglas Invariants of ornaments by V. A. Vassiliev.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780821802373 20160528
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QA1 .A3095 V.21  Unknown 
 2nd ed.  Berlin ; New York : SpringerVerlag, c1993.
 Description
 Book — xiv, 291 p. : ill. ; 24 cm.
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QA805 .D5613 1988 V.3:ED.2  Unknown 
11. Ordinary differential equations [1992]
 Obyknovennye different͡sialʹnye uravnenii͡a. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 [3rd ed.].  Berlin ; New York : SpringerVerlag, c1992.
 Description
 Book — 334 p. : ill. ; 24 cm.
 Summary

This book puts a clear emphasis on the qualitative and geometric properties of ordinary differential equations and their solutions, helping the student to get a feel for the subject. The text is rich with examples and connections with mechanics and proceeds with physical reasoning, using it as a convenient shorthand for much longer formal mathematical reasoning. 272 illustrations.
(source: Nielsen Book Data) 9780387548135 20160527
There are dozens of books on ODEs, but none with the elegantgeometric insight of Arnol'd's book.Arnol'd puts a clear emphasis on the qualitative andgeometric properties of ODEs and their solutions, ratherthan on theroutine presentation of algorithms for solvingspecial classes of equations.Of course, the reader learnshow to solve equations, but with much more understandingof the systems, the solutions and the techniques.Vector fields and oneparameter groups of transformationscome right from the startand Arnol'd uses this "language"throughout the book. This fundamental difference from thestandard presentation allows him to explain some of the realmathematics of ODEs in a very understandable way and withouthidingthe substance.The text is also rich with examples and connections withmechanics. Where possible, Arnol'd proceeds by physicalreasoning, using it as a convenient shorthand for muchlonger formal mathematical reasoning. This technique helpsthe student get a feel for the subject.Following Arnol'd's guiding geometric and qualitativeprinciples, there are 272 figures in the book, but not asingle complicated formula. Also, the text is peppered withhistoricalremarks, which put the material in context, showing how the ideas have developped since Newton andLeibniz.This book is an excellent text for a course whose goal is amathematical treatment of differential equations and therelated physical systems.
(source: Nielsen Book Data) 9783540548133 20160527
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QA372 .A713 1992  Unknown 
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 Cambridge [England] ; New York, NY : Published for the Accademia Nazionale dei Lincei and the Scuola Normale Superiore by the Press Syndicate of the University of Cambridge, 1991.
 Description
 Book — 72 p. : ill. ; 24 cm.
 Summary

 Part I. The Zoo of Singularities:
 1. Morse theory of functions
 2. Whitney theory of mappings
 3. The WhitneyCayley umbrella
 4. The swallowtail
 5. The discriminants of the reflection groups
 6. The icosahedron and the obstacle bypassing problem
 7. The unfurled swallowtail
 8. The folded and open umbrellas
 9. The singularities of projections and of the apparent contours Part II. Singularities of Bifurcation Diagrams:
 10. Bifurcation diagrams of families of functions
 11. Stability boundary
 12. Ellipticity boundary and minima functions
 13. Hyperbolicity boundary
 14. Disconjugate equations, Tchebyshev system boundaries and Schubert singularities in flag manifolds
 15. Fundamental system boundaries, projective curve flattenings and Schubert singularities in Grassmann manifolds.
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(source: Nielsen Book Data) 9780521422802 20160528
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QA614.58 .A77 1991  Unknown 
 Gi͡uĭgens i Barrou, Nʹi͡uton i Guk. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 Basel ; Boston : Birkhaüser Verlag, c1990.
 Description
 Book — 118 p. : ill. ; 21 cm.
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QA300 .A73513 1990  Unknown 
14. Theory of singularities and its applications [1990]
 Providence, R.I. : American Mathematical Society, c1990.
 Description
 Book — ix, 333 p. : ill. ; 24 cm.
 Summary

 Ten problems by V. I. Arnold Topology of complements to discriminants and loop spaces by V. A. Vassiliev Cohomology of knot spaces by V. A. Vassiliev Nonlinear generalization of the Maslov index by A. B. Givental Singularities of light hypersurfaces and structure of hyperbolicity sets for systems of partial differential equations by B. A. Khesin Degree of smoothness for visible contours of convex hypersurfaces by I. A. Bogaevsky Real vanishing inflections and boundary singularities by Yu. M. Baryshnikov Indices for extremal embeddings of 1complexes by Yu. M. Baryshnikov Bifurcation of flattenings and Schubert cells by M. E. Kazarian Projections of generic surfaces with boundaries by V. V. Goryunov Generating ideals of Lagrangian varieties by V. M. Zakalyukin Nonisolated hypersurface singularities by A. G. Aleksandrov Structure of uniform estimates in partial phase deformation by V. N. Karpushkin On the stratification and singularities of the Stokes hypersurface of one and twoparameter families of polynomials by V. P. Kostov Euler characteristics for links of Schubert cells in the space of complete flags by B. Z. Shapiro and A. D. Vainshtein Weierstrass preparation theorem for finitely smooth modules by V. I. Bakhtin Singularities for projections of integral manifolds with applications to control and observation problems by A. N. Shoshitaishvili.
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(source: Nielsen Book Data) 9780821841006 20160528
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QA1 .A3095 V.1  Unknown 
15. Mathematical methods of classical mechanics [1989]
 Matematicheskie metody klassicheskoĭ mekhaniki. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010.
 2nd ed.  New York : SpringerVerlag, c1989.
 Description
 Book — ix, 516 p. : ill. ; 24 cm.
 Summary

 NEWTONIAN MECHANICS: Experimental facts. Investigation of the equations of motion. LAGRANGIAN MECHANICS: Variational principles. Lagrangian mechanics on manifolds. Oscillations. Rigid Bodies.. HAMILTONIAN MECHANICS: Differential forms. Symplectic manifolds. Canonical formalism. Introduction to perturbation theory. Appendices.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780387968902 20160528
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Engineering Library (Terman), Science Library (Li and Ma)
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QA805 .A6813 1989  Unknown 
Science Library (Li and Ma)  Status 

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QA805 .A6813 1989  Unknown 
16. Dynamical systems [1988  ]
 Dinamicheskie sistemy. English.
 Berlin ; New York : SpringerVerlag, c1988
 Description
 Book — v. : ill. ; 24 cm.
 Summary

 v. 1. Ordinary differential equations and smooth dynamical systems
 v. 2. Ergodic theory with applications to dynamical systems and statistical mechanics / edited by Ya. G. Sinai
 v. 3. [Mathematical aspects of classical and celestial mechanics]
 v. 4. Symplectic geometry and its applications / edited by V.I. Arnol'd, S.P. Novikov
 v. 5. Bifurcation theory and catastrophe theory / V.I. Arnol'd (Ed.)
 v. 6. Singularity Theory I / V.I. Arnol'd (Ed.)
 v. 7. Integrable systems nonholonomic dynamical systems
 v. 8. Singularity theory II  Applications
 v.9. Dynamical systems with hyperbolic behaviour
 v. 10. General theory of vortices / V.V. Kozlov (Ed.).
(source: Nielsen Book Data) 9783540170013 20160527
From the reviews: "...As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising...The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview..." American Mathematical Monthly, Nov. 1989 "This is a book to curl up with in front of a fire on a cold winter's evening..." SIAM Reviews, Sept. 1989.
(source: Nielsen Book Data) 9783540572411 20160528
'The reading is very easy and pleasant for the nonmathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ...indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced...What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book'  "Journal de Physique".
(source: Nielsen Book Data) 9783540170006 20160528
This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics. For example, the wellknown HamiltonJacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations.
(source: Nielsen Book Data) 9783540422075 20160528
From the reviews of the first edition:"...Here ...a wealth of material is displayed for us, too much to even indicate in a review...Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992.
(source: Nielsen Book Data) 9783540626350 20160618
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Some individual vols. of this title also cataloged separately. 

QA805 .D5613 1988 V.1  Unknown 
QA805 .D5613 1988 V.2  Unknown 
QA805 .D5613 1988 V.3  Unknown 
QA805 .D5613 1988 V.4  Unknown 
QA805 .D5613 1988 V.4  Unknown 
QA805 .D5613 1988 V.5  Unknown 
QA805 .D5613 1988 V.6  Unknown 
QA805 .D5613 1988 V.7  Unknown 
QA805 .D5613 1988 V.8  Unknown 
QA805 .D5613 1988 V.9  Unknown 
QA805 .D5613 1988 V.10  Unknown 
 Dopolnitelʹnye glavy teorii obyknovennykh different͡sialʹnykh uravneniĭ. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 2nd ed.  New York : SpringerVerlag, c1988.
 Description
 Book — xii, 351 p. : ill. ; 25 cm.
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QA372 .A6913 1988  Unknown 
18. Catastrophe theory [1986]
 Teorii͡a katastrof. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 2nd rev. and expanded ed.  Berlin ; New York : SpringerVerlag, c1986.
 Description
 Book — ix, 108 p. : ill. ; 21 cm.
 Summary

From the reviews: "This is a short, critical and nonmathematical review of catastrophe theory which will provide a useful introduction to the subject". Physics Bulletin.
(source: Nielsen Book Data) 9780387161990 20160527
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QA614.58 .A7613 1986  Unknown 
19. Singularities of differentiable maps [1985  1988]
 Osobennosti different͡siruemykh otobrazheniĭ. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 Boston : Birkhäuser, 19851988.
 Description
 Book — 2 v. ; 23 cm.
 Summary

 v. 1. The classification of critical points, caustics and wave fronts
 v. 2. Monodromy and asymptotics of integrals
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QA614.58 .A7513 1985 V.1  Unknown 
QA614.58 .A7513 1985 V.2  Unknown 
20. Obyknovennye different͡sialʹnye uravnenii͡a [1984]
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 Izd. 3e, perer. i dop.  Moskva : "Nauka," Glav. red. fizikomatematicheskoĭ litry, 1984.
 Description
 Book — 271 p. : ill. ; 23 cm.
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QA372 .A7 1984  Unknown 