Posted at: Offers to Sell and Export | Posted on: Mon 07 Jun, 2010 9:54 am | Product Category: Reference books [3760]

More **Book Freeshipping Dynamical Systems Singularity Theory**:

**Reference books [3760]**

Book Freeshipping**Photos Catalog**

Book Freeshipping**Business Cards**

Book Freeshipping**Members Directory**

Book Freeshipping**Videos**

Book Freeshipping**email alerts**

Offers to Sell and Export

Free Business Magazines

Book Freeshipping

Book Freeshipping

Book Freeshipping

Book Freeshipping

Book Freeshipping

Offers to Sell and Export

Free Business Magazines

Product

Details

Author Arnol'd.V.L

Press Science Press

Isbn 7030234952/9787030234957

Publication Date Jan 2009

Pages 235

Size 16K

Edition First

Cover Hardcover

Language English

Page material gelatine plate paper

Product Description:

This book contains a list of open problems, conjectures and directions for future research.It will be of great interest for mathematicians and physicists as a reference and research aid.This volume of the Encyclopaedia is devoted to applications of singularity theory in mathematics and physics. The authors Arnol'd, Vasil'ev, Goryunov and Lyashko study bifurcation sets arising in various contexts such as the stability of singular points of dynamical systems, boundaries of the domains of ellipticity and hyperbolicity of partial differential equations, boundaries of spaces of oscillating linear equations with variable coefficients and boundaries of fundamental systems of solutions.

The book also treats applications of the following topics: functions on manifolds with boundary, projections of complete intersections, caustics, wave fronts, evolvents, maximum functions, shock waves, Petrovskij lacunas and generalizations of Newton's topological proof that Abelian integrals are transcendental.

Content:

Chapter 1. Classification of Functions and Mappings

1. Functions on a Manifold with Boundary

1.1. Classification of Functions on a Manifold with a Smooth Boundary

1.2. Versal Deformations and Bifurcation Diagrams

1.3. Relative Homology Basis

1.4. Intersection Form

1.5. Duality of Boundary Singularities

1.6. Functions on a Manifold with a Singular Boundary

2. Complete Intersections

2.1. Start of the Classification

2.2. Critical and Discriminant Sets

2.3. The Nonsingular Fiber

2.4. Relations Between the'Tyurina and Milnor Numbers

2.5. Adding a Power of a New Variable

2.6. Relative Monodromy

2.7. Dynkin Diagrams

2.8. Parabolic and Hyperbolic Singularities

2.9. Vector Fields on a Quasihomogeneous Complete Intersection

2.10. The Space of a Miniversal Deformation of a Quasihomogeneous Singularity

2.11. Topological Triviality of Versal Deformations

3. Projections and Left-Right Equivalence

3.1. Projections of Space Curves onto the Plane

3.2. Singularities of Projections of Surfaces onto the Plane

3.3. Projections of Complete Intersections

3.4. Projections onto the Line

3.5. Mappings of the Line into the Plane

3.6. Mappings of the Plane into Three-Space

4. Nonisolated Singularities of Functions

4.1. Transversal Type of a Singularity

4.2. Realization

4.3. Topology of the Nonsingular Fiber

4.4. Series of Isolated Singularities

4.5. The Number of Indices of a Series

4.6. Functions with a One-Dimensional Complete Intersection as Critical Set and with Transversal Type A1

5. Vector Fields Tangent to Bifurcation Varieties

5.1. Functions on Smooth Manifolds

5.2. Projections onto the Line

5.3. Isolated Singularities of Complete Intersections

5.4. The Equation of a Free Divisor

6. Divergent and Cyclic Diagrams of Mappings

6.1. Germs of Smooth Functions

6.2. Envelopes

6.3. Holomorphic Diagrams

Chapter 2. Applications of the Classification of Critical Points of Functions

1. Legendre Singularities

1.1. Equidistants

1.2. Projective Duality

1.3. Legendre Transformation

1.4. Singularities of Pedals and Primitives

1.5. The Higher-Dimensional Case

2. Lagrangian Singularities

2.1. Caustics

2.2. The Manifold of Centers

2.3. Caustics of Systems of Rays

2.4. The Gauss Map

2.5. Caustics of Potential Systems of Noninteracting Particles

2.6. Coexistence of Singularities

3. Singularities of Maxwell Sets

3.1. Maxwell Sets

3.2. Metamorphoses of Maxwell Sets

3.3. Extended Maxwell Sets

3.4. Complete Maxwell Set Close to the Singularity A5

3.5. The Structure of Maxwell Sets Close to the Metamorphosis As

3.6. Enumeration of the Connected Components of Spaces of

Nondegenerate Polynomials

4. Bifurcations of Singular Points of Gradient Dynamical Systems

4.1. Thorn's Conjecture

4.2. Singularities of Corank One

4.3. Guckenheimer's Counterexample

4.4. Three-Parameter Families of Gradients

4.5. Normal Forms of Gradient Systems D4

4.6. Bifurcation Diagrams and Phase Portaits of Standard Families.

4.7. Multiparameter Families

Chapter 3. Singularities of the Boundaries of Domains of Function Spaces

1. Boundary of Stability

1.1. Domains of Stability

1.2. Singularities of the Boundary of Stability in Low-Dimensional Spaces

1.3. Stabilization Theorem

1.4. Finiteness Theorem

2. Boundary of Ellipticity

2.1. Domains of Ellipticity

2.2. Stabilization Theorems

2.3. Boundaries of Ellipticity and Minimum Functions

2.4. Singularities of the Boundary of Ellipticity in Low-Dimensional Spaces

3. Boundary of Hyperbolicity

3.1. Domain of Hyperbolicity

3.2. Stabilization Theorems

3.3. Local Hyperbolicity

3.4. Local Properties of Domains of Hyperbolicity

4. Boundary of the Domain of Fundamental Systems

4.1. Domain of Fundamental Systems and the Bifurcation Set

4.2. Singularities of Bifurcation Sets of Generic Three-Parameter Families

4.3. Bifurcation Sets and Schubert Cells

4.4. Normal Forms

4.5. Duality

4.6. Bifurcation Sets and Tangential Singularities

4.7. The Group of Transformations of Sets and Finite Determinacy

4.8. Bifurcation Diagrams of Flattenings of Projective Curves

5. Linear Differential Equations and Complete Flag Manifolds

Chapter 4. Applications of Ramified Integrals and Generalized Picard- Lefschetz Theories

1. Newton's Theorem on Nonintegrability

1.1. Newton's Theorem and Archimedes's Example

1.2. Multi-dimensional Newton Theorem (Even Case)

1.3. Obstructions to Inegrability in the Odd-Dimensional Case

1.4. Newton's Theorem for Nonconvex Domains

1.5. The Case of Nonsmooth Domains

1.6. Homological Formulation and the General Statement ofthe Problem

1.7. Localization and Lowering the Dimension in the Calculation of Monondromy

1.8. General Construction of the Variation Operators

1.9. The "Cap" Element

1.10. Ramification of Cycles Close to Nonsingular Points

1.11. Ramification Close to Individual Singularities

1.12. Stabilization of Monodromy Close to Strata of Positive Dimension

1.13. Ramification Around the Asymptotic Directions and Monodromy of Boundary Singularities

1.14. Pham's Formulas

1.15. Problems, Conjectures, Complements

2. Ramification of Solutions of Hyperbolic Equations

2.1. Hyperbolic Operators and Hyperbolic Polynomials

2.2. Wave Front of a Hyperbolic Operator

2.3. Singularities of Wave Fronts and Generating Functions

2.4. Lacunas, Sharpness, Diffusion

2.5. Sharpness and Diffusion Close to the Simplest Singularities of Wave Fronts

2.6. The Herglotz-Petrovskii-Leray Integral Formula

2.7. The Petrovskii Criterion

2.8. Local Petrovskii Criterion

2.9. Local Petrovskii Cycle

2.10. C∞-Inversion of the Petrovskii Criterion, Stable Singularities of Fronts and Sneaky Diffusion

2.11. Normal Forms of Nonsharpness Close to Singularities of Wave Fronts

2.12. Construction of Leray and Petrovskii Cycles for Strictly Hyperbolic Polynomials

2.13. Problems

3. Integrals of Ramified Forms and Monodromy of Homology with Nontrivial Coefficients

3.1. The Hypergeometric Function of Gauss

3.2. Homology of Local Systems

3.3. Meromorphy of the Integral of the Function P?

3.4. The Integral of the Function pof P

3.5. Monodromy and Linear Independence of Hypergeometric Functions

3.6. Twisted Picard-Lefschetz Theory of Isolated Singularities of Smooth Functions and Representations of Hecke Algebras

Chapter 5. Deformations of Real Singularities and Local Petrovskii Lacunas

1. Local Petrovskii Cycles and their Properties

1.1. Definition of Local Petrovskii Cycles

1.2. Complex Conjugation

1.3. Boundary of the Petrovskii Class

1.4. Computation of Petrovskii Cocycles in Terms of Vanishing Cycles

1.5. Stabilization

2. Local Lacunas for Concrete Singularities

2.1. Local Lacunas for Singularities that are Stably Equivalent to Extrema

2.2. The Number of Local Lacunas for the Tabulated Singularit

3. Complements of Discriminants of Real Singularities

3.1. Components of the Complement of the Discriminant of Simple Singularities

3.2. A Regular Search Algorithm for Morse Decompositions of Singularities

3.3. Remarks on the Realization of the Algorithm

3.4. Problems and Perspectives

Bibliography

Author Index

Subject Index

……

Contact Name: Jing

Company Name: Hangzhou Wholesale Tech Trading Co., Ltd

Email:

Tel: 0086-571-86980049

Fax: 0086-571-86980049

Street Address: A-2211, Xinqingnian

Square, Gongshu District, Hangzhou,

310015, China

Website: http://www.book-wholesale.com

Member name: BookWholesale

Country: China

Member Since: 13 May 2010

Total Leads: 4528 BookWholesale Import Export Business Leads

Business focus: Books, Nonfiction, Fiction, Chinese for Foreigners, Comics, Literature, Textbooks, Language, Cooking, Chinese Classics, Children, Business, Computer

Chat:

Verify: Safe Import Export Tips

Product Category: Reference books [3760]

- Book Freeshipping Dynamical Systems 10 General Theory Of Vortices - By BookWholesale - On Sat 05 Jun, 2010 1:16 am: book contains a mathematical exposition of analogies between classical hamiltonian mechanics geometrical optics and hydrodynamics this theory hig....

- Book Freeshipping Bifurcation Theory And Catastrophe Theory - By BookWholesale - On Mon 07 Jun, 2010 1:25 am: book with reffeshing clarity theexposition is masterful amp #65292 with penetrating insights
content
preface
chapter 1 bifurcations of equilibri....

- Dynamical Systems With Hyperbolic Behaviour Book Freeshiping - By BookWholesale - On Tue 08 Jun, 2010 3:55 am: book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out quot large subsets quot of the phase space such syst....

- Book Geometry3 Theory Of Surfaces Freeshipping - By BookWholesale - On Mon 07 Jun, 2010 10:00 am: theory of surfaces by burago y d english hardcover 2009
product details
author burago y d
press science press
isbn 7030235002 9787030235008
....

- Book Freeshipping Computational Invariant Theory - By BookWholesale - On Mon 07 Jun, 2010 9:39 am: book is about the computational aspects of invariant theory of central interest is the question how the invariant ring of a given group action can be ....

- Book Freeshipping Theory And Practice Of Histological Techniques 6th Ed - By BookWholesale - On Tue 08 Jun, 2010 5:04 am: book has been revised for several times ever since the publication of the first edition and it has been an important tool book for histologists and pa....

- Book Linear Algebraic Groups, Invariant Theory Freeshipping - By BookWholesale - On Mon 07 Jun, 2010 1:24 am: book contains two contributions on closely related subjects the theory of linear algebraic groups and invariant theory the first part is written by ....

- Book Freeshipping Inverse Problem Theory And Methods For Model Parameter Estimation - By BookWholesale - On Mon 07 Jun, 2010 1:36 am: book by the same author in this version there are many algorithmic details for monte carlo methods least- squares discrete problems and least-squar....

- Zhejiang Kepu Water Industry Co Ltd: Jacky Of Zhejiang Kepu Water Industry, A Piping Systems And Irrigation Equipments Supplier From China
- Umur Basim Ve Kirt. San. Ve Tic. A. S.: Canan Istemi Of Umur Basim Ve Kirt San Ve Tic From Turkey In The Production Of Continuous Form Printing
- Vedard Security Alarms: Karl From Vedard Security Alarms From China

TradersCity.com shall not be held liable for any user posted/submitted content including but not limited to trade leads, profiles, images, and any other data. TradersCity.com does not and did not verify any of users posted/submitted data nor is implicitly or explicitly recommending these business offers. TradersCity does not verify truthfulness, accuracy, completeness, nor legality of any businesses, services, and leads posted here. TradersCity does not represent Sellers or Buyers in any transaction between users of the website and is unable to make any opinion in regard to their performance in any transaction. TradersCity neither guarantees nor undertakes in any dispute between sellers and buyers. Protect your business from fraud by trading safely