1  12
 Semirechenskai͡a oblastʹ kak kolonīi͡a i rolʹ v neĭ Chuĭskoĭ doliny
 Vasilʹev, V. A.
 Petrograd : G.U.Z. i Z. otdi͡el zemelʹnykh uluchshenīĭ, 1915.
 Description
 Book — viii, 277 p. : ill., map.
 Online
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MFICHE 379 20988  Inlibrary use 
3. Applied PicardLefschetz theory [2002]
 Vasilʹev, V. A., 1956
 Providence, RI : American Mathematical Society, c2002.
 Description
 Book — xi, 324 p. : ill. ; 26 cm.
 Summary

 Introduction Local monodromy theory of isolated singularities of functions and complete intersections Stratified PicardLefschetz theory and monodromy of hyperplane sections Newton's theorem on the nonintegrability of ovals Lacunas and local Petrovskiicondition for hyperbolic differential operators with constant coefficients Calculation of local Petrovskiicycles and enumeration of local lacunas close to real singularities Homology of local systems, twisted monodromy theory, and regularization of improper integration cycles Analytic properties of surface potentials Multidimensional hypergeometric functions, their ramification, singularities, and resonances Bibliography Index.
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QA3 .A4 NO.97  Unknown 
4. Introduction to topology [2001]
 Vvedenie v topologii͡u. English
 Vasilʹev, V. A., 1956
 Providence, R.I. : American Mathematical Society, c2001.
 Description
 Book — xiii, 149 p. : ill. ; 22 cm.
 Summary

 Topological spaces and operations with them Homotopy groups and homotopy equivalence Coverings Cell spaces ($CW$complexes) Relative homotopy groups and the exact sequence of a pair Fiber bundles Smooth manifolds The degree of a map Homology: Basic definitions and examples main properties of singular homology groups and their computation Homology of cell spaces Morse theory Cohomology and Poincare duality Some applications of homology theory Multiplication in cohomology (and homology) Index of notations Subject index.
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QA611 .V3813 2001  Unknown 
 Dopolnenii͡a k diskriminantam gladkikh otobrazheniĭ. English
 Vasilʹev, V. A., 1956
 Rev. ed.  Providence, R.I. : American Mathematical Society, c1994.
 Description
 Book — ix, 265 p. : ill. (some col.) ; 26 cm.
 Summary

 Introduction Cohomology of braid groups and configuration spaces Applications: Complexity of algorithms, superpositions of algebraic functions and interpolation theory Topology of spaces of real functions without complicated singularities Stable cohomology of complements of discriminants and caustics of isolated singularities of holomorphic functions Cohomology of the space of knots Invariants of ornaments Appendix $1.$ Classifying spaces and universal bundles. Join Appendix $2.$ Hopf algebras and $H$spaces Appendix $3.$ Loop spaces Appendix $4.$ Germs, jets, and transversality theorems Appendix $5.$ Homology of local systems Bibliography.
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SAL3 (offcampus storage), Science Library (Li and Ma)
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QA612.76 .V3713 1994  Available 
Science Library (Li and Ma)  Status 

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QA612.76 .V3713 1994  Unknown 
 Dopolnenii͡a k diskriminantam gladkikh otobrazheniĭ. English
 Vasilʹev, V. A., 1956
 Providence, R.I. : American Mathematical Society, 1992.
 Description
 Book — 208 p.
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA612.76 .V3713 1992  Unknown 
7. Rolʹ khudozhnika v prot͡sesse vzaimodeĭstvii͡a kulʹtur : tvorcheskai͡a dei͡atelʹnostʹ A.A. Kokeli͡a [2016]
 Vasilʹev, V. A. (Vladimir Aleksandrovich)
 Cheboksary : Izdatelʹstvo Chuvashskogo universiteta, 2016
 Description
 Book — 321 pages ; 20 cm
 Online
SAL3 (offcampus storage)
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ND699 .K5545 V37 2016  Available 
 Vasilʹev, V. A. (Vladislav Andreevich)
 Dordrecht : Springer Netherlands, 1987.
 Description
 Book — 1 online resource (264 pages) Digital: text file.PDF.
 Summary

 1 Autowave processes and their role in natural sciences
 1.1 Autowaves in nonequilibrium systems
 1.2 Mathematical model of an autowave system
 1.3 Classification of autowave processes
 1.4 Basic experimental data
 2 Physical premises for the construction of basic models
 2.1 Finite interaction velocity. Reduction of telegrapher's equations
 2.2 Nonlinear diffusion equation. Finite diffusion velocity
 2.3 Diffusion in multicomponent homogeneous systems
 2.4 Integrodifferential equations and their reduction to the basic model
 2.5 Anisotropic and dispersive media
 2.6 Examples of basic models for autowave systems
 3 Ways of investigation of autowave systems
 3.1 Basic stages of investigation
 3.2 A typical qualitative analysis of stationary solutions in the phase plane
 3.3 Study of the stability of stationary solutions
 3.4 Smallparameter method
 3.5 Axiomatic approach
 3.6 Discrete models
 3.7 Fast and slow phases of spacetime processes
 3.8 Grouptheoretical approach
 3.9 Numerical experiment
 4 Fronts and pulses: elementary autowave structures
 4.1 A stationary excitation front
 4.2 A typical transient process
 4.3 Front velocity pulsations
 4.4 Stationary pulses
 4.5 The formation of travelling pulses
 4.6 Propagation of pulses in a medium with smooth inhomogeneities
 4.7 Pulses in a medium with a nonmonotonic dependence v = v(y)
 4.8 Pulses in a trigger system
 4.9 Discussion
 5 Autonomous wave sources
 5.1 Sources of echo and fissioning front types
 5.2 Generation of a TP at a border between 'slave' and 'trigger' media
 5.3 Stable leading centres
 5.4 Standing waves
 5.5 Reverberators: a qualitative description
 6 Synchronization of autooscillations in space as a selforganization factor
 6.1 Synchronization in homogeneous systems
 6.2 Synchronization in inhomogeneous systems. Equidistant detuning case
 6.3 Complex autowave regimes arising when synchronization is violated
 6.4 A synchronous network of autooscillators in modern radio electronics
 7 Spatially inhomogeneous stationary states: dissipative structures
 7.1 Conditions of existence of stationary inhomogeneous solutions
 7.2 Bifurcation of solutions and quasiharmonical structures
 7.3 Multitude of structures and their stability
 7.4 Contrast dissipative structures
 7.5 Dissipative structures in systems with mutual diffusion
 7.6 Localized dissipative structures
 7.7 Selforganization in combustion processes
 8 Noise and autowave processes
 8.1 Sources of noise in active kinetic systems and fundamental stochastic processes
 8.2 Parametric and multiplicative fluctuations in local kinetic systems
 8.3 The mean life time of the simplest ecological preypredator system
 8.4 Internal noise in distributed systems and spatial selforganization
 8.5 External noise and dissipative structures
 linear theory
 8.6 Nonlinear effects
 the twobox model
 8.7 Wave propagation and phase transitions in media with distributed multiplicative noise
 9 Autowave mechanisms of transport in living tubes
 9.1 Autowaves in organs of the gastrointestinal tract
 9.2 Waves in small bloodvessels with muscular walls
 9.3 Autowave phenomena in plasmodia of Myxomycetes
 Concluding Remarks
 References.
 Dordrecht ; Boston : D. Reidel ; Norwell, MA, U.S.A. : Distributors for the U.S.A. and Canada, Kluwer Academic Publishers, 1987.
 Description
 Book — 262 p. : ill. ; 23 cm.
 Online
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Q325 .A89 1987  Available 
 Samoĭlov, V. I. (Viktor Ivanovich)
 Moskva : Izdvo "Poltėks", 1993.
 Description
 Book — 2 v. ; 20 cm.
 Summary

 v. 1. Sovremennoe i͡adernoe oruzhie kak nasledie vtoroĭ mirovoĭ voĭny i "Kholodnoĭ voĭny"
 v. 2. Kak sdelatʹ i͡adernoe oruzhie "svi͡ashchennoĭ korovoĭ" chelovechestva?
 Online
SAL1&2 (oncampus storage)
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U264 .S246 1993 V.2  Available 
 [Kherson] Khersonskoe kn.gazet. izdvo, 1962.
 Description
 Book — 406 p. 21 cm.
 Online
Hoover Institution Library & Archives
Hoover Institution Library & Archives  Status 

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12. Singularity Theory I [1998]
 Arnold, V. I.
 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 1998.
 Description
 Book — 1 online resource (V, 245 pages 55 illustrations)
 Summary

 1. Critical Points of Functions.
 1. Invariants of Critical Points. 1
 .1. Degenerate and Nondegenerate Critical Points. 1
 .2. Equivalence of Critical Points. 1
 .3. Stable Equivalence. 1
 .4. The Local Algebra and the Multiplicity of a Singularity. 1
 .5. Finite Determinacy of an Isolated Singularity. 1
 .6. Lie Group Actions on Manifolds. 1
 .7. Versal Deformations of a Critical Point. 1
 .8. Infinitesimal Versality. 1
 .9. The Modality of a Critical Point. 1
 .10. The Level Bifurcation Set. 1
 .11. Truncated Versal Deformations and the Function Bifurcation Set.
 2. The Classification of Critical Points. 2
 .1. Normal Forms. 2
 .2. Classes of Low Modality. 2
 .3. Singularities of Modality ? 2. 2
 .4. Simple Singularities and Klein Singularities. 2
 .5. Resolution of Simple Singularities. 2
 .6. Unimodal and Bimodal Singularities. 2
 .7. Adjacency of Singularities. 2
 .8. Real Singularities.
 3. Reduction to Normal Forms. 3
 .1. The Newton Diagram. 3
 .2. Quasihomogeneous Functions and Filtrations. 3
 .3. The Multiplicity and the Generators of the Local Algebra of a SemiQuasihomogeneous Function. 3
 .4. Quasihomogeneous Maps. 3
 .5. Quasihomogeneous Diffeomorphisms and Vector Fields. 3
 .6. The Normal Form of a SemiQuasihomogeneous Function. 3
 .7. The Normal Form of a Quasihomogeneous Function. 3
 .8. The Newton Filtration. 3
 .9. The Spectral Sequence. 3
 .10. Theorems on Normal Forms for the Spectral Sequence.
 2. Monodromy Groups of Critical Points.
 1. The PicardLefschetz Theory. 1
 .1. Topology of the Nonsingular Level Manifold. 1
 .2. The Classical Monodromy and the Variation Operator. 1
 .3. The Monodromy of a Morse Singularity. 1
 .4. The Monodromy Group of an Isolated Singularity. 1
 .5. Vanishing Cycles and Distinguished Bases. 1
 .6. The Intersection Matrix of a Singularity. 1
 .7. Stabilization of Singularities. 1
 .8. Dynkin Diagrams. 1
 .9. Transformations of a Basis and of its Dynkin Diagram. 1
 .10. The Milnor Fibration over the Complement of the Level Bifurcation Set. 1
 .11. The Topological Type of a Singularity Along the ?Constant Stratum.
 2. Dynkin Diagrams and Monodromy Groups. 2
 .1. Intersection Matrices of Singularities of Functions of Two Variables. 2
 .2. The Intersection Matrix of a Direct Sum of Singularities. 2
 .3. Pham Singularities. 2
 .4. The Polar Curve and the Intersection Matrix. 2
 .5. Modality and Quadratic Forms of Singularities. 2
 .6. The Monodromy Group and the Intersection Form. 2
 .7. The Monodromy Group in the SkewSymmetric Case.
 3. Complex Monodromy and Period Maps. 3
 .1. The Cohomology Bundle and the GaussManin Connection. 3
 .2. Sections of the Cohomology Bundle. 3
 .3. The Vanishing Cohomology Bundle. 3
 .4. The Period Map. 3
 .5. The Residue Form. 3
 .6. Trivializations of the Cohomology Bundle. 3
 .7. The Classical Complex Monodromy. 3
 .8. Differential Equations and Asymptotics of Integrals. 3
 .9. Nondegenerate Period Maps. 3
 .10. Stability of Period Maps. 3
 .11. Period Maps and Intersection Forms. 3
 .12. The Characteristic Polynomial and the Zeta Function of the Monodromy Operator.
 4. The Mixed Hodge Structure in the Vanishing Cohomology. 4
 .1. The Pure Hodge Structure. 4
 .2. The Mixed Hodge Structure. 4
 .3. The Asymptotic Hodge Filtration in the Fibres of the Cohomology Bundle. 4
 .4. The Weight Filtration. 4
 .5. The Asymptotic Mixed Hodge Structure. 4
 .6. The Hodge Numbers and the Spectrum of a Singularity. 4
 .7. Computing the Spectrum. 4
 .8. Semicontinuity of the Spectrum. 4
 .9. The Spectrum and the Geometric Genus. 4
 .10. The Mixed Hodge Structure and the Intersection Form. 4
 .11. The Number of Singular Points of a Complex Projective Hypersurface. 4
 .12. The Generalized Petrovski?Ole?nik Inequalities.
 5. Simple Singularities. 5
 .1. Reflection Groups. 5
 .2. The Swallowtail of a Reflection Group. 5
 .3. The ArtinBrieskorn Braid Group. 5
 .4. Convolution of Invariants of a Coxeter Group. 5
 .5. Root Systems and Weyl Groups. 5
 .6. Simple Singularities and Weyl Groups. 5
 .7. Vector Fields Tangent to the Level Bifurcation Set. 5
 .8. The Complement of the Function Bifurcation Set. 5
 .9. Adjacency and Decomposition of Simple Singularities. 5
 .10. Finite Subgroups of SU2, Simple Singularities, and Weyl Groups. 5
 .11. Parabolic Singularities.
 6. Topology of Complements of Discriminants of Singularities. 6
 .1. Complements of Discriminants and Braid Groups. 6
 .2. The mod2 Cohomology of Braid Groups. 6
 .3. An Application: Superposition of Algebraic Functions. 6
 .4. The Integer Cohomology of Braid Groups. 6
 .5. The Cohomology of Braid Groups with Twisted Coefficients. 6
 .6. Genus of Coverings Associated with an Algebraic Function, and Complexity of Algorithms for Computing Roots of Polynomials. 6
 .7. The Cohomology of Brieskorn Braid Groups and Complements of the Discriminants of Singularities of the Series C and D. 6
 .8. The Stable Cohomology of Complements of Level Bifurcation Sets. 6
 .9. Characteristic Classes of Milnor Cohomology Bundles. 6
 .10. Stable Irreducibility of Strata of Discriminants.
 3. Basic Properties of Maps.
 1. Stable Maps and Maps of Finite Multiplicity. 1
 .1. The LeftRight Equivalence. 1
 .2. Stability. 1
 .3. Transversality. 1
 .4. The ThomBoardman Classes. 1
 .5. Infinitesimal Stability. 1
 .6. The Groups l and K. 1
 .7. Normal Forms of Stable Germs. 1
 .8. Examples. 1
 .9. Nice and SemiNice Dimensions. 1
 .10. Maps of Finite Multiplicity. 1
 .11. The Number of Roots of a System of Equations. 1
 .12. The Index of a Singular Point of a Real Germ, and Polynomial Vector Fields.
 2. Finite Determinacy of MapGerms, and Their Versal Deformations. 2
 .1. Tangent Spaces and Codimensions. 2
 .2. Finite Determinacy. 2
 .3. Versal Deformations. 2
 .4. Examples. 2
 .5. Geometric Subgroups. 2
 .6. The Order of a Sufficient Jet. 2
 .7. Determinacy with Respect to Transformations of Finite Smoothness.
 3. The Topological Equivalence. 3
 .1. The Topologically Stable Maps are Dense. 3
 .2. Whitney Stratifications. 3
 .3. The Topological Classification of Smooth MapGerms. 3
 .4. Topological Invariants. 3
 .5. Topological Triviality and Topological Versality of Deformations of SemiQuasihomogeneous Maps.
 4. The Global Theory of Singularities.
 1. Thom Polynomials for Maps of Smooth Manifolds. 1
 .1. Cycles of Singularities and Topological Invariants of Maps. 1
 .2. Thom's Theorem on the Existence of Thom Polynomials. 1
 .3. Resolution of the Singularities of the Closures of the ThomBoardman Classes. 1
 .4. Thorn Polynomials for Singularities of First Order. 1
 .5. Survey of Results on Thom Polynomials for Singularities of Higher Order.
 2. Integer Characteristic Classes and Universal Complexes of Singularities. 2
 .1. Examples: the Maslov Index and the First Pontryagin Class. 2
 .2. The Universal Complex of Singularities of Smooth Functions. 2
 .3. Cohomology of the Complexes of R0Invariant Singularities, and Invariants of Foliations. 2
 .4. Computations in Complexes of Singularities of Functions. Geometric Consequences. 2
 .5. Universal Complexes of Lagrangian and Legendrian Singularities. 2
 .6. On Universal Complexes of General Maps of Manifolds.
 3. Multiple Points and Multisingularities. 3
 .1. A Formula for Multiple Points of Immersions, and Embedding Obstructions for Manifolds. 3
 .2. Triple Points of Singular Surfaces. 3
 .3. Multiple Points of Complex Maps. 3
 .4. SelfIntersections of Lagrangian Manifolds. 3
 .5. Complexes of Multisingularities. 3
 .6. Multisingularities and Multiplication in the Cohomology of the Target Space of a Map.
 4. Spaces of Functions with Critical Points of Mild Complexity. 4
 .1. Functions with Singularities Simpler than A3. 4
 .2. The Group of Curves Without Horizontal Inflexional Tangents. 4
 .3. Homotopy Properties of the Complements of Unfurled Swallowtails.
 5. Elimination of Singularities and Solution of Differential Conditions. 5
 .1. Cancellation of Whitney Umbrellas and Cusps. The Immersion Problem. 5
 .2. The SmaleHirsch Theorem. 5
 .3. The w.h.e. and hPrinciples. 5
 .4. The GromovLees Theorem on Lagrangian Immersions. 5
 .5. Elimination of ThomBoardman Singularities. 5
 .6. The Space of Functions with no A3 Singularities.
 6. Tangential Singularities and Vanishing Inflexions. 6
 .1. The Calculus of Tangential Singularities. 6
 .2. Vanishing Inflexions: The Case of Plane Curves. 6
 .3. Inflexions that Vanish at a Morse Singular Point. 6
 .4. Integration with Respect to the Euler Characteristic, and its Applications. References. Author Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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