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1.

図書

図書
Alexander Solodov, Valery Ochkov
出版情報: Berlin : Springer, c2005  xi, 232 p. ; 24 cm
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Differential Mathematical Models
Integrable Differential Equations
Dynamic Model of the System with Heat Engineering
Stiff Differential Equations
Heat Transfer near the Critical Point
The Faulkner-Skan Equation of Boundary Layer
The Rayleigh Equation: Hydronamic Instability
Kinematic Waves of Concentration in Ion-Exchange Filters
Kinematic Shock Waves
Numerical Modeling of the CPU-board Temperature Field
Temperature Waves
Differential Mathematical Models
Integrable Differential Equations
Dynamic Model of the System with Heat Engineering
2.

図書

図書
S. Albeverio ... [et al.] ; with an appendix by Pavel Exner
出版情報: Providence, R.I. : AMS Chelsea Pub., 2005  xiv, 488 p. ; 27 cm
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Preface to second edition
Preface
Introduction
The One-Center Point Interaction / Part I:
The One-Center Point Interaction in Three Dimensions / Chapter I.1:
Basic Properties / I.1.1:
Approximations by Means of Local as well as Nonlocal Scaled Short-Range Interactions / I.1.2:
Convergence of Eigenvalues and Resonances / I.1.3:
Stationary Scattering Theory / I.1.4:
Notes
Coulomb Plus One-Center Point Interaction in Three Dimensions / Chapter I.2:
Approximations by Means of Scaled Coulomb-Type Interactions / I.2.1:
The One-Center [delta]-Interaction in One Dimension / I.2.3:
Approximations by Means of Local Scaled Short-Range Interactions / I.3.1:
The One-Center [delta]'-Interaction in One Dimension / I.3.3:
The One-Center Point Interaction in Two Dimensions / Chapter I.5:
Point Interactions with a Finite Number of Centers / Part II:
Finitely Many Point Interactions in Three Dimensions / Chapter II.1:
Multiple Well Problems / II.1.1:
Finitely Many [delta]-Interactions in One Dimension / II.1.5:
Finitely Many [delta]'-Interactions in One Dimension / II.2.1:
Finitely Many Point Interactions in Two Dimensions / Chapter II.4:
Point Interactions with Infinitely Many Centers / Part III:
Infinitely Many Point Interactions in Three Dimensions / Chapter III.1:
Periodic Point Interactions / III.1.1:
Crystals / III.1.4:
Straight Polymers / III.1.5:
Monomolecular Layers / III.1.6:
Bragg Scattering / III.1.7:
Fermi Surfaces / III.1.8:
Crystals with Defects and Impurities / III.1.9:
Infinitely Many [delta]-Interactions in One Dimension / Chapter III.2:
Periodic [delta]-Interactions / III.2.1:
Half-Crystals / III.2.4:
Quasi-periodic [delta]-Interactions / III.2.5:
Crystals with Defects and Impurity Scattering / III.2.6:
Infinitely Many [delta]'-Interactions in One Dimension / Chapter III.3:
Infinitely Many Point Interactions in Two Dimensions / Chapter III.4:
Random Hamiltonians with Point Interactions / Chapter III.5:
Preliminaries / III.5.1:
Random Point Interactions in Three Dimensions / III.5.2:
Random Point Interactions in One Dimension / III.5.3:
Appendices
Self-Adjoint Extensions of Symmetric Operators / A:
Spectral Properties of Hamiltonians Defined as Quadratic Forms / B:
Schrodinger Operators with Interactions Concentrated Around Infinitely Many Centers / C:
Boundary Conditions for Schrodinger Operators on (0, [infinity]) / D:
Time-Dependent Scattering Theory for Point Interactions / E:
Dirichlet Forms for Point Interactions / F:
Point Interactions and Scales of Hilbert Spaces / G:
Nonstandard Analysis and Point Interactions / H:
A Very Short Introduction to Nonstandard Analysis / H.1:
Point Interactions Using Nonstandard Analysis / H.2:
Elements of Probability Theory / I:
Relativistic Point Interactions in One Dimension / J:
References
Index
K Seize ans apres
Bibliography
Errata and Addenda
Preface to second edition
Preface
Introduction
3.

図書

図書
Richard H. Enns
出版情報: Boston : Birkhäuser, c2005  xiv, 390 p. ; 24 cm.
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Preface
Introduction
The Appetizers / Part I:
Linear ODEs of Physics
Applications of Series
Vectors and Matrices
The Entrees / Part II:
Linear PDEs of Physics
Complex Variables
Integral Transform
Calculus of Variations
NLODEs & PDEs of Physics / Part IItThe Desserts:
Numerical Methods
Bibliography
Index
Preface
Introduction
The Appetizers / Part I:
4.

図書

図書
Giovanni Giachetta & Luigi Mangiarotti, Gennadi Sardanashvily
出版情報: New Jersey : World Scientific, c2005  x, 703 p. ; 24 cm
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5.

図書

図書
Avinash Khare
出版情報: Singapore : World Scientific, c2005  xiii, 300 p. ; 23 cm
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6.

図書

図書
edited by Freddy Dumortier, Henk Broer, Jean Mawhin ... [et al.]
出版情報: Singapore : World Scientific, c2005  xix, 1159 p. ; 23 cm
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7.

図書

図書
Glen A. Hansen, Rod W. Douglass, Andrew Zardecki
出版情報: London, UK : Imperial College Press, 2005  xvi, 515 p. ; 24 cm
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8.

図書

図書
editors, Chiun-Chuan Chen, Michel Chipot, Chang-Shou Lin
出版情報: New Jersey : World Scientific, c2005  viii, 276 p. ; 23 cm
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9.

図書

図書
Andrew J. Sommese, Charles W. Wampler,II
出版情報: New Jersey : World Scientific, c2005  xxii, 401 p. ; 26 cm
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10.

図書

図書
Michio Masujima
出版情報: Weinheim : Wiley-VCH, c2005  xi, 377 p. ; 25 cm
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Preface
Introduction
Function Spaces, Linear Operators and Green's Functions / 1:
Function Spaces / 1.1:
Ortho normal System of Functions / 1.2:
Linear Operators / 1.3:
Eigen values and Eigen functions / 1.4:
The Fredholm Alternative / 1.5:
Self-adjoint Operators / 1.6:
Green's Functions for Differential Equations / 1.7:
Review of Complex Analysis / 1.8:
Review of Fourier Transform / 1.9:
Integral Equations and Green's Functions / 2:
Introduction to Integral Equations / 2.1:
Relationship of Integral Equations with Differential Equations and Green's Functions / 2.2:
Sturm-Liouville System / 2.3:
Green's Function for Time-Dependent Scattering Problem / 2.4:
Lippmann-Schwinger Equation / 2.5:
Problems for Chapter 2 / 2.6:
Integral Equations of Volterra Type / 3:
Iterative Solution to Volterra Integral Equation of the Second Kind / 3.1:
Solvable cases of Volterra Integral Equation / 3.2:
Problems for Chapter 3 / 3.3:
Integral Equations of the Fredholm Type / 4:
Iterative Solution to the Fredholm Integral Equation of the Second Kind / 4.1:
Resolvent Kernel / 4.2:
Pincherle-Goursat Kernel / 4.3:
Fredholm Theory for a Bounded Kernel / 4.4:
Solvable Example / 4.5:
Fredholm Integral Equation with a Translation Kernel / 4.6:
System of Fredholm Integral Equations of the Second Kind / 4.7:
Problems for Chapter 4 / 4.8:
Hilbert-Schmidt Theory of Symmetric Kernel / 5:
Real and Symmetric Matrix / 5.1:
Real and Symmetric Kernel / 5.2:
Bounds on the Eigen values / 5.3:
Rayleigh Quotient / 5.4:
Completeness of Sturm-Liouville Eigen functions / 5.5:
Generalization of Hilbert-Schmidt Theory / 5.6:
Generalization of Sturm-Liouville System / 5.7:
Problems for Chapter 5 / 5.8:
Singular Integral Equations of Cauchy Type / 6:
Hilbert Problem / 6.1:
Cauchy Integral Equation of the First Kind / 6.2:
Cauchy Integral Equation of the Second Kind / 6.3:
Carleman Integral Equation / 6.4:
Dispersion Relations / 6.5:
Problems for Chapter 6 / 6.6:
Wiener-Hopf Method and Wiener-Hopf Integral Equation / 7:
The Wiener-Hopf Method for Partial Differential Equations / 7.1:
Homogeneous Wiener-Hopf Integral Equation of the Second Kind / 7.2:
General Decomposition Problem / 7.3:
Inhomogeneous Wiener-Hopf Integral Equation of the Second Kind / 7.4:
Toeplitz Matrix and Wiener-Hopf Sum Equation / 7.5:
Wiener-Hopf Integral Equation of the First Kind and Dual Integral Equations / 7.6:
Problems for Chapter 7 / 7.7:
Nonlinear Integral Equations / 8:
Nonlinear Integral Equation of Volterra type / 8.1:
Nonlinear Integral Equation of Fredholm Type / 8.2:
Nonlinear Integral Equation of Hammerstein type / 8.3:
Problems for Chapter 8 / 8.4:
Calculus of Variations: Fundamentals / 9:
Historical Background / 9.1:
Examples / 9.2:
Euler Equation / 9.3:
Generalization of the Basic Problems / 9.4:
More Examples / 9.5:
Differential Equations, Integral Equations, and Extremization of Integrals / 9.6:
The Second Variation / 9.7:
Weierstrass-Erdmann Corner Relation / 9.8:
Problems for Chapter 9 / 9.9:
Calculus of Variations: Applications / 10:
Feynman's Action Principle in Quantum Mechanics / 10.1:
Feynman's Variational Principle in Quantum Statistical Mechanics / 10.2:
Schwinger-Dyson Equation in Quantum Field Theory / 10.3:
Schwinger-Dyson Equation in Quantum Statistical Mechanics / 10.4:
Weyl's Gauge P / 10.5:
Preface
Introduction
Function Spaces, Linear Operators and Green's Functions / 1:
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