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1.

図書

図書
Claude Cohen-Tannoudji, Bernard Diu, Franck Laloë ; translated from the French by Susan Reid Hemley, Nicole Ostrowsky, Dan Ostrowsky
出版情報: New York : Wiley , Paris : Hermann, c1977  2 v. (xv, 1524 p.) ; 25 cm
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目次情報: 続きを見る
An Elementary Approach to the Quantum Theory of Scattering by a Potential Electron Spin
Addition of Angular Momenta
Stationary Perturbation Theory
An Application of Perturbation Theory
The Fine and Hyperfine Structure of the Hydrogen Atom
Approximation Methods for Time-Dependent Problems
Systems of Identical Particles
Appendixes: Fourier Series and the Fourier Transform
The Dirac delta; " Function"
The Lagrangian and Hamiltonian in Classical Mechanics
Index
An Elementary Approach to the Quantum Theory of Scattering by a Potential Electron Spin
Addition of Angular Momenta
Stationary Perturbation Theory
2.

図書

図書
David Gilbarg, Neil S. Trudinger
出版情報: Berlin ; New York : Springer-Verlag, 1977 c1957  x, 401 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 224
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Introduction / Chapter 1:
Linear Equations / Part I:
Laplace''s Equation / Chapter 2:
The Mean Value Inequalities / 2.1:
Maximum and Minimum Principle / 2.2:
The Harnack Inequality / 2.3:
Green''s Representation / 2.4:
The Poisson Integral / 2.5:
Convergence Theorems / 2.6:
Interior Estimates of Derivatives / 2.7:
The Dirichlet Problem; the Method of Subharmonic Functions / 2.8:
CapacityProblems / 2.9:
The Classical Maximum Principle / Chapter 3:
The Weak Maximum Principle / 3.1:
The Strong Maximum Principle / 3.2:
Apriori Bounds / 3.3:
Gradient Estimates for Poisson''s Equation / 3.4:
A Harnack Inequality / 3.5:
Operators in Divergence FormNotesProblems / 3.6:
Poisson''s Equation and Newtonian Potential / Chapter 4:
H+ lder Continuity / 4.1:
The Dirichlet Problem for Poisson''s Equation / 4.2:
H+ lder Estimates for the Second Derivatives / 4.3:
Estimates at the Boundary / 4.4:
H+ lder Estimates for the First DerivativesNotes Problems / 4.5:
Banach and Hilbert Spaces / Chapter 5:
The Contraction Mapping / 5.1:
The Method of Cintinuity / 5.2:
The Fredholm Alternative / 5.3:
Dual Spaces and Adjoints / 5.4:
Hilbert Spaces / 5.5:
The Projection Theorem / 5.6:
The Riesz Representation Theorem / 5.7:
The Lax-Milgram Theorem / 5.8:
The Fredholm Alternative in Hilbert Spaces / 5.9:
Weak CompactnessNotesProblems / 5.10:
Classical Solutions; the Schauder Approach / Chapter 6:
The Schauder Interior Estimates / 6.1:
Boundary and Global Estimates / 6.2:
The Dirichlet Problem / 6.3:
Interior and Boundary Regularity / 6.4:
An Alternative Approach / 6.5:
Non-Uniformly Elliptic Equations / 6.6:
Other Boundary Conditions; the Obliue Derivative Problem / 6.7:
Appendix 1: Interpolation Inequalities / 6.8:
Appendix 2: Extension LemmasNotesProblems / 6.9:
Sobolev Spaces / Chapter 7:
L^p spaces / 7.1:
Regularization and Approximation by Smooth Functions / 7.2:
Weak Derivatives / 7.3:
The Chain Rule / 7.4:
The W^(k,p) Spaces / 7.5:
Density Theorems / 7.6:
Imbedding Theorems / 7.7:
Potential Estimates and Imbedding Theorems / 7.8:
The Morrey and John-Nirenberg Estimes / 7.9:
Compactness Results / 7.10:
Difference Quotients / 7.11:
Extension and InterpolationNotesProblems / 7.12:
Generalized Solutions and Regularity / Chapter 8:
Solvability of the Dirichlet Problem / 8.1:
Diferentiability of Weak Solutions / 8.3:
Global Regularity / 8.4:
Global Boundedness of Weak Solutions / 8.5:
Local Properties of Weak Solutions / 8.6:
Local Estimates at the Boundary / 8.7:
H+ lder Estimates for the First Derivatives / 8.11:
The Eigenvalue ProblemNotesProblems / 8.12:
Strong Solutions / Chapter 9:
Maximum Princiles for Strong Solutions / 9.1:
L^p Estimates: Preliminary Analysis / 9.2:
The Marcinkiewicz Interpolation Theorem / 9.3:
The Calderon-Zygmund Inequality / 9.4:
L^p Estimates / 9.5:
A Local Maximum Principle / 9.6:
H+ lder and Harnack Estimates / 9.8:
Local Estimates at the BoundaryNotesProblems / 9.9:
Quasilinear Equations / Part II:
Maximum and Comparison Principles / Chapter 10:
The Comparison Principle / 10.1:
Maximum Principles / 10.2:
A Counterexample / 10.3:
Comparison Principles for Divergence Form Operators / 10.4:
Maximum Principles for Divergence Form Operators Notes Problems / 10.5:
Topological Fixed Point Theorems and Their Application / Chapter 11:
The Schauder Fixes Point Theorem / 11.1:
The Leray-Schauder Theorem: a Special Case / 11.2:
An Application / 11.3:
The Leray-Schauder Fixed Point Theorem / 11.4:
Variational ProblemsNotes / 11.5:
Equations in Two Variables / Chapter 12:
Quasiconformal Mappings / 12.1:
h+ lder Gradient Estimates for Linear Equations / 12.2:
The Dirichlet Problem for Uniformly Elliptic Equations / 12.3:
Non-Uniformly Elliptic EquationsNotesProblems / 12.4:
H+ lder Estimates for the Gradient / Chapter 13:
Equations of Divergence Form / 13.1:
Equations of General Form; the Interior Estimate / 13.2:
Equations of General Form; the Boundary Estimate / 13.4:
Application to the Dirichlet ProblemNotes / 13.5:
Boundary Gradient Estimates / Chapter 14:
General Domains / 14.1:
Convex Domains / 14.2:
Boundary Curvature Conditions / 14.3:
Non-Existence Results / 14.4:
Continuity Estimates / 14.5:
Appendix: Boundary Curvature and the Distance FunctionNotesProblems / 14.6:
Introduction / Chapter 1:
Linear Equations / Part I:
Laplace''s Equation / Chapter 2:
3.

図書

図書
by Einar Hille
出版情報: New York : Chelsea Pub. Co., 1977-1982  2 v. ; 24 cm
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目次情報: 続きを見る
Number systems / 1:
The real number system / 1.1:
Further properties of real numbers / 1.2:
The complex number system 2. The complex plane / 1.3:
Geometry of complex numbers / 2.1:
Curves and regions in the complex plane / 2.2:
Regions and convexity / 2.3:
Paths / 2.4:
The extended plane; stereographic projection 3. Fractions, powers, and roots / 2.5:
Fractional linear transformations / 3.1:
Properties of Mobius transformations / 3.2:
Powers / 3.3:
Roots / 3.4:
The function $(z^2 +1)/(2z)$ 4. Holomorphic functions / 3.5:
Complex-valued functions and continuity / 4.1:
Differentiability; holomorphic functions / 4.2:
The Cauchy-Riemann equations / 4.3:
Laplace's equation / 4.4:
The inverse function / 4.5:
Conformal mapping / 4.6:
Function spaces 5. Power series / 4.7:
Infinite series / 5.1:
Operations on series / 5.2:
Double series / 5.3:
Convergence of power series / 5.4:
Power series as holomorphic functions / 5.5:
Taylor's series / 5.6:
Singularities; noncontinuable power series 6. Some elementary functions / 5.7:
The exponential function / 6.1:
The logarithm / 6.2:
Arbitrary powers; the binomial series / 6.3:
The trigonometric functions / 6.4:
Inverse trigonometric functions 7. Complex integration / 6.5:
Integration in the complex plane / 7.1:
Cauchy's theorem / 7.2:
Extensions / 7.3:
Cauchy's integral / 7.4:
Cauchy's formulas for the derivatives / 7.5:
Integrals of the Cauchy type / 7.6:
Analytic continuation: Schwarz's reflection principle / 7.7:
The theorem of Morera / 7.8:
The maximum principle / 7.9:
Uniformly convergent sequences of holomorphic functions 8. Representation theorems / 7.10:
The maximum modulus / 8.1:
The Laurent expansion / 8.3:
Isolated singularities / 8.4:
Meromorphic functions / 8.5:
Infinite products / 8.6:
Entire functions / 8.7:
The Gamma function 9. The calculus of residues / 8.8:
The residue theorem / 9.1:
The principle of the argument / 9.2:
Summation and expansion theorems / 9.3:
Inverse functions / 9.4:
Some properties of point sets / Appendix A:
Some properties of polygons / Appendix B:
On the theory of integration / Appendix C:
Bibliography
Index
Number systems / 1:
The real number system / 1.1:
Further properties of real numbers / 1.2:
4.

図書

図書
出版情報: Guernsey : Hodgson, 1977  2v. ( 1928 [i.e. 1918 ] p ) ; 26 cm
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5.

図書

図書
edited by H. Haken
出版情報: Berlin ; New York : Springer-Verlag, 1977  x, 274 p. ; 25 cm
シリーズ名: Springer series in synergetics ; v. 2
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6.

図書

図書
edited by Margaret Labash Young, Harold Chester Young, and Anthony T. Kruzas ; Randa J. D'Aoust and John Schmittroth, Jr., associate editors ; Doris Sears ... [et al.], assistant editors
出版情報: Detroit : Gale Research Co., c1977  2 v. ; 29 cm
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7.

図書

図書
Krée, Paul
出版情報: Paris : Secrétariat mathématique, 1977  1 v. (various foliations) ; 30 cm
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8.

図書

図書
Robert C. Tausworthe
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1977-1979  2 v ; 24 cm
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目次情報:
pt. 2: standards
pt. 2: standards
9.

図書

図書
unter Mitarbeit von P. Becker ... [et al.] ; herausgegeben von L.J. Pongratz ; unter Mitwirkung von K.H. Wewetzer
出版情報: Göttingen ; Toronto ; Zürich : Verlag für Psychologie C.J. Hogrefe, c1977-1978  2 v. (xxvii, 3335 p.) ; 25 cm
シリーズ名: Handbuch der Psychologie ; Bd. 8
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10.

図書

図書
Charles S. Tapiero
出版情報: New York : Gordon and Breach, c1977  2 v. (xxi, 642 p.) ; 24 cm
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