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1.

電子ブック

EB
L. C. Biedenharn, Peter A. Carruthers, James D. Louck
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1984
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Introduction / 1:
The Kinematics of Rotations / 2:
Standard Treatment of Angular Momentum in Quantum mechanics / 3:
The Theory of Turns Adapted from Hamilton / 4:
The Boson Calculus Applied to the Theory of Turns / 5:
Orbital Angular Momentum and Angular Functions on the Sphere / 6:
Some Applications to Physical Problems / 7:
Introduction / 1:
The Kinematics of Rotations / 2:
Standard Treatment of Angular Momentum in Quantum mechanics / 3:
2.

電子ブック

EB
Czes Kosniowski
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1980
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Preface
Sets and groups
Background: metric spaces / 1:
Topological spaces / 2:
Continuous functions / 3:
Induced topology / 4:
Quotient topology (and groups acting on spaces) / 5:
Product spaces / 6:
Compact spaces / 7:
Hausdorff spaces / 8:
Connected spaces / 9:
The pancake problems / 10:
Manifolds and surfaces / 11:
Paths and path connected spaces / 12:
The Jordan curve theorem / 12A:
Homotopy of continuous mappings / 13:
'Multiplication' of paths / 14:
The fundamental group / 15:
The fundamental group of a circle / 16:
Covering spaces / 17:
The fundamental group of a covering space / 18:
The fundamental group of an orbit space / 19:
The Borsuk-Ulam and ham-sandwhich theorems / 20:
More on covering spaces: lifting theorems / 21:
More on covering spaces: existence theorems / 22:
The Seifert_Van Kampen theorem: I Generators / 23:
The Seifert_Van Kampen theorem: II Relations / 24:
The Seifert_Van Kampen theorem: III Calculations / 25:
The fundamental group of a surface / 26:
Knots: I Background and torus knots / 27:
Knots : II Tame knots
Table of Knots / 28A:
Singular homology: an introduction / 29:
Suggestions for further reading / 30:
Index
'Multiplication' of paths
Preface
Sets and groups
Background: metric spaces / 1:
3.

電子ブック

EB
J. W. S. Cassels
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1982
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Utility, Indifference surfaces / 1:
Pure exchange economy / 2:
Theory of the firm / 3:
Welfare economics / 4:
Linear economic models / 5:
Simple macroeconomic models / 6:
Utility, Indifference surfaces / 1:
Pure exchange economy / 2:
Theory of the firm / 3:
4.

電子ブック

EB
G. P. Johnson, R. A. Rosenbaum
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1984
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Prerequisites / 1:
Functional relationships / 2:
Rate of Change / 3:
Applications of the derivative / 4:
Further differentiation / 5:
Antidifferentation and integration / 6:
Exponential functions / 7:
Logarithmic functions / 8:
Differential equations / 9:
Further integration / 10:
Trigonometric functions. / 11:
Trigonometric functions
Prerequisites / 1:
Functional relationships / 2:
Rate of Change / 3:
5.

電子ブック

EB
L. M. Delves, J. L. Mohamed
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1985
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Preface
Introduction
The space L2(a,b) / 1:
Numerical quadrature / 2:
Introduction to the theory of linear integral equations of the second kind / 3:
The Nystrom (quadrature) method for Fredholm equations of the second kind / 4:
Quadrature methods for Volterra equations of the second kind / 5:
Eigenvalue problems and the Fredholm alternative / 6:
Expansion methods for Freholm equations of the second kind / 7:
Numerical techniques for expansion methods / 8:
Analysis of the Galerkin method with orthogonal basis / 9:
Numerical performance of algorithms for Fredholm equations of the second kind / 10:
Singular integral equations / 11:
Integral equations of the first kind / 12:
Integro-differential equations / 13:
Appendix
References
Index
The space L2(a, b)
Preface
Introduction
The space L2(a,b) / 1:
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