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1.

図書

図書
Grigor A. Barsegian
出版情報: London : Taylor & Francis, c2002  ix, 176 p. ; 25 cm
シリーズ名: Asian mathematics series / edited by Chung-Chun Yang ; vol. 5
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Preface
Tangent Variation Principle
Satellite Principles
Modification of Length-area Principle
Estimates for collections of Gamma-Lines
Estimates of lengths of Gamma-Lines for angular-quasiconformal mappings
Remarks on applying of estimates of L (D, Gamma)
Nevanlinna and Ahilfors Theories
Additions
Basic concepts and outcomes of Nevanlinna Value Distribution theory and Ahlfors theory of covering surfaces
Geometric deficient values
On some
Preface
Tangent Variation Principle
Satellite Principles
2.

図書

図書
Abdul-Majid Wazwaz
出版情報: Lisse ; Tokyo : A.A. Balkema, c2002  xi, 459 p. ; 25 cm
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3.

図書

図書
Robert Botet, Marek Płoszajczak
出版情報: Singapore ; River Edge, N.J. : World Scientific, c2002  xix, 369 p. ; 24 cm
シリーズ名: World Scientific lecture notes in physics ; v. 65
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4.

図書

図書
Christopher Parker, Peter Rowley
出版情報: London : Springer, c2002  xi, 361 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
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5.

図書

図書
Ken A. Brown, Ken R. Goodearl
出版情報: Basel : Birkhäuser, c2002  ix, 348 p. ; 24 cm
シリーズ名: Advanced courses in mathematics CRM Barcelona
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6.

図書

図書
Michael Frame and Benoit B. Mandelbrot, editors ; foreword by Lynn Arthur Steen
出版情報: [Washington, D.C.] : Mathematical Association of America, c2002  xiii, 206 p., [4] p. of plates ; 28 cm
シリーズ名: MAA notes ; 58
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Foreword / Lynn Arthur Steen
Preface
Introductory Essays
Some Reasons for the Effectiveness of Fractals in Mathematics Education / Benoit B. Mandelbrot ; Michael Frame1.:
Unsolved Problems and Still-Emerging Concepts in Fractal Geometry / 2.:
Fractals, Graphics, and Mathematics Education / 3.:
Mathematics and Society in the 20th Century / 4.:
Classroom Experiences
Teaching Fractals and Dynamical Systems at The Hotchkiss School / Melkana Brakalova ; David Coughlin5.:
Reflecting on Wada Basins: Some Fractals with a Twist / Dane Camp6.:
Learning and Teaching about Fractals / Donald M. Davis7.:
The Fractal Geometry of the Mandelbrot Set: Periods of the Bulbs / Robert L. Devaney8.:
Fractals--Energizing the Mathematics Classroom / Vicki Fegers ; Mary Beth Johnson9.:
Other Chaos Games / Sandy Fillebrown10.:
Creating and Teaching Undergraduate Courses and Seminars in Fractal Geometry: a Personal Experience / Michel Lapidus11.:
Exploring Fractal Dimensions by Experiment / Ron Lewis12.:
Fractal Themes at Every Level / Kenneth G. Monks13.:
Art and Fractals: Artistic Explorations of Natural Self-Similarity / Brianna Murratti14.:
Order and Chaos, Art and Magic: a First College Course in Quantitative Reasoning Based on Fractals and Chaos / David Peak15.:
A Software Driven Undergraduate Fractals Course / Douglas C. Ravenel16.:
A Final Word
The Fractal Ring from Art to Art through Mathematics, Finance, and the Sciences / 17.:
Appendices
Panorama of Fractals and Their Uses. An Alphabetic Wordbook-Index / 18.:
Reports of Some Field Experiences / 19.:
Guide to Topics
References
About the Editors and Other Contributors
Index
Foreword / Lynn Arthur Steen
Preface
Introductory Essays
7.

図書

図書
A. Galves, J.K. Hale, C. Rocha, editors
出版情報: Providence, R.I. : American Mathematical Society, c2002  xiv, 353 p. ; 26 cm
シリーズ名: Fields Institute communications ; 31
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8.

図書

図書
M. O. Deville, P. F. Fischer, E. H. Mund
出版情報: Cambridge : Cambridge University Press, 2002  xxvii, 499 p. ; 24 cm.
シリーズ名: Cambridge monographs on applied and computational mathematics ; 9
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Preface
Fluid mechanics and computation: an introduction / 1:
Approximation methods for elliptic problems / 2:
Parabolic and hyperbolic problems / 3:
Mutidimensional problems / 4:
Steady Stokes and Navier-Stokes equations / 5:
Unsteady Stokes and Navier-Stokes equations / 6:
Domain decomposition / 7:
Vector and parallel implementations / 8:
Preliminary mathematical concepts / Appendix A:
Orthogonal polynomials and discrete transforms / Appendix B:
Preface
Fluid mechanics and computation: an introduction / 1:
Approximation methods for elliptic problems / 2:
9.

図書

図書
Prem K. Kythe, Pratap Puri
出版情報: Boston : Birkhäuser, c2002  xviii, 508 p. ; 25 cm
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10.

図書

図書
by Nikolay Sidorov ... [et al.]
出版情報: Dordrecht ; London : Kluwer Academic Publishers, c2002  xx, 548 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 550
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Preface
On Regularization of Linear Equations on the Basis of Perturbation Theory / 1.:
Generalised Jordan chains, sets and root numbers of linear operators
Regularization of linear equations with Fredholm operators / 2.:
Principal theorem on regularization of linear equations by the perturbation method / 3.:
Regularization of linear equations on the basis of perturbation theory in Hilbert spaces / 4.:
Computation of eigenvalues and eigenvectors of linear operators by pseudo-perturbation method / 5.:
Notes / 6.:
Investigation of Bifurcation Points of a Nonlinear Equations
Lyapunov-Schmidt BEq in the problem of a bifurcation point
General existence theorems for the bifurcation points
Construction of asymptotics in a neighborhood of a bifurcation point
Asymptotic bifurcation points
On perturbation of the branch points of nonlinear equations
Notes and generalization
Regularization of Computation of Solutions in a Neighborhood of the Branch Point
Construction of the regularizing equation in the problem at a branch point
Definition and properties of simple solutions
Regularization of calculations of simple solutions of nonlinear equations
Regularization of method for continuation along parameter in a neighborhood of a branch point
Notes and remarks
Iterations, Interlaced Equations and Lyapunov Convex Majorants in Nonlinear Analysis
Iterations and uniformization of branching solutions in nonlinear analysis
BEq and the selection of the initial approximation / 1.1:
On the role of supporting lines and Newton diagrams in the construction of the initial approximation / 1.2:
A one-step iteration method / 1.3:
An N-step iteration method / 1.4:
On regularization in the sense of Tikhonov, modifications and possible generalizations of an N-step method / 1.5:
Remarks / 1.6:
Interlaced and potential BEq
The property of (S, K)-interlacing of an equation and its inheritance by the BEq / 2.1:
(T, M)-interlaced and (T[superscript 2], M)-interlaced BEq / 2.2:
[alpha]-parametric interlaced BEq / 2.3:
Interlaced BEq of potential type / 2.4:
Surface bundle of a domain of free parameters / 2.5:
Parametrization of solutions and the method of successive approximations / 2.6:
On the role of Lyapunov convex majorants in the nonlocal existence theorems of implicit functions
Majorants independent of parameters / 3.1:
Majorants depending on a parameter / 3.2:
Investigation of the existence domain of the solution of equation F(u, [varepsilon]) = 0. / 3.3:
Methods of Representation Theory and Group Analysis in Bifurcation Theory
Nonlinear equations invariant under transformation groups
Lyapounov-Schmidt BEq and some methods of their reduction
Some applications
Hereditary symmetry of branching equations and resolving systems
Invariance properties of BEq
Resolving systems for differential equations with Fredholm operator at the derivative and their symmetry
On the Grobman-Hartman theorem for equations with degenerate operator at the derivative
Construction and investigation of the branching equation by group analysis methods
BEq of solutions invariant relative to subgroups of the original equation group symmetry
Potential BEq
Direct methods of BEq group invariance usage for its general form construction by admitted group symmetry
Applications of Lie--Ovsyannikov theorem about invariant manifolds for the construction of BEq general form by allowing group symmetry / 4.1:
Non-linearly perturbed Helmholtz equations
Domain symmetry and bifurcational solutions asymptotics / 5.1:
Periodic solutions / 5.2:
Capillary--gravity waves in fluid layers
Capillary--gravity waves in a floating fluid spatial layer / 6.1:
Capillary--gravity waves at the interface of two fluids flow / 6.2:
Capillary--gravity waves on a cylindrical surface / 6.3:
Ferrofluid layer in a magnetic field / 6.4:
Fluid phase state crystallization problem in statistical crystal theory / 7.:
The statement of the problem / 7.1:
Subspaces N(B[subscript s]). Their expansions on irreducible subspaces relative to O[subscript h] / 7.2:
The BEq construction / 7.3:
Asymptotics of small solutions families for n[subscript s] = 1, 3 / 7.4:
Solutions invariant relative to normal divisors O[subscript h] / 7.5:
Andronov--Hopf bifurcation under group symmetry conditions / 8.:
BEq derivation in non-stationary bifurcation / 8.1:
Symmetry inheritance theorem / 8.2:
BEq construction by group analysis methods / 8.3:
On the asymptotics of small solutions / 8.4:
Stability of the bifurcating solutions / 9.:
Singular Differential Equations in Banach Spaces
Fundamental operator functions
Generalized functions in Banach spaces
Fundamental operator functions of singular differential operators
Fundamental operator functions of singular integral and integro-differential operators
The initial value problem for a differential equation having a Noetherian operator at the derivative. Periodic solutions and the property of convergence
Auxiliary information on Jordan sets of Noetherian operators
The initial value problem for a linear differential equation
The initial value problem for a nonlinear differential equation
Integral pseudo-solutions
Non-stationary differential equations with singularities
The initial value problem for a non-stationary linear equation and systems of 1st kind integral Volterra equations
The initial value problem for a non-stationary linear differential equation and a system of integral Volterra equations with a singularity
Branching differential equations of the initial value problem with singularity
The initial value problem for a nonlinear differential equation and equations with a singular point / 3.4:
Partial differential equations with the Fredholm operator in the main part
The theory of semigroups and groups of operators with kernels
Relative resolvents. Relatively adjoint elements
Relatively spectrally bounded operators and analytical groups of operators with kernells
Relatively sectorial operators and analytical semigroups of operators with kernels / 5.3:
Steady-State Solutions of the Vlasov--Maxwell System
Introduction
Stationary solutions of a VM system
The reduction of VM system to the resolving elliptic system (2.28), (2.29)
The reduction of the resolving system to the unique resolving equation
Existence of solutions of the boundary value problem (2.40)-(2.42)
Applications of the reduction theorems
Normalized solutions for a one-component distribution function
Non-stationary problem
Bifurcation points and nontrivial solutions of the stationary VM system
Statement of the boundary value problem and the problem at a bifurcation point / 4.2:
Resolution of the bifurcation equation / 4.3:
The existence theorem for bifurcation points and the construction of asymptotic solutions / 4.4:
Appendices
Positive solutions of the nonlinear singular boundary value problem of magnetic insulation / A:
References
Preface
On Regularization of Linear Equations on the Basis of Perturbation Theory / 1.:
Generalised Jordan chains, sets and root numbers of linear operators
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