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1.

図書
図書
1. Classical electrodynamics : a modern perspective
Kurt Lechner
出版情報: [Cham] : Springer, c2018  xix, 688 p. ; 25 cm
シリーズ名: Unitext for physics
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2.

図書
図書
2. Mathematical physics in theoretical chemistry (: pbk)
edited by S.M. Blinder, J.E. House
出版情報: Amsterdam : Elsevier, c2019  xv, 408 p. ; 24 cm
シリーズ名: Developments in physical & theoretical chemistry
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3.

図書
図書
3. The earth's dissipative structures : fundamental wave properties of substance
Oleg V. Petrov
出版情報: Cham : Springer, c2019  xv, 270 p. ; 25 cm
シリーズ名: Springer geophysics
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4.

図書
図書
4. Knots and physics. 4th ed (: pbk)
Louis H. Kauffman
出版情報: Singapore : World Scientific, c2013  xviii, 846 p. ; 24 cm
シリーズ名: Series on knots and everything ; v. 53
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5.

図書
図書
5. Lectures on complex networks (: hbk ; : pbk)
Sergey N. Dorogovtsev
出版情報: Oxford ; New York : Oxford University Press, 2010  ix, 134 p. ; 25 cm
シリーズ名: Oxford master series in physics ; 20
Oxford master series in statistical, computational, and theoretical physics
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目次情報: 続きを見る
First steps towards networks / 1：
Euler's graph / 1.1：
Examples of graphs / 1.2：
Shortest path length / 1.3：
Lattices and fractals / 1.4：
Milgram's experiment / 1.5：
Directed networks / 1.6：
What are random networks? / 1.7：
Degree distribution / 1.8：
Clustering / 1.9：
Adjacency matrix / 1.10：
Classical random graphs / 2：
Two classical models / 2.1：
Loops in classical random graphs / 2.2：
Diameter of classical random graphs / 2.3：
The birth of a giant component / 2.4：
Finite components / 2.5：
Small and large worlds / 3：
The world of Paul Erdos / 3.1：
Diameter of the Web / 3.2：
Small-world networks / 3.3：
Equilibrium versus growing trees / 3.4：
Giant connected component at birth is fractal / 3.5：
Dimensionality of a brush / 3.6：
From the Internet to cellular nets / 4：
Levels of the Internet / 4.1：
The WWW / 4.2：
Cellular networks / 4.3：
Co-occurrence networks / 4.4：
Uncorrelated networks / 5：
The configuration model / 5.1：
Hidden variables / 5.2：
Neighbour degree distribution / 5.3：
Loops in uncorrelated networks / 5.4：
Statistics of shortest paths / 5.5：
Uncorrelated bipartite networks / 5.6：
Percolation and epidemics / 6：
Connected components in uncorrelated networks / 6.1：
Ultra-resilience phenomenon / 6.2：
Finite-size effects / 6.3：
k-cores / 6.4：
Epidemics in networks / 6.5：
Self-organization of networks / 7：
Random recursive trees / 7.1：
The Barabási-Albert model / 7.2：
General preferential attachment / 7.3：
Condensation phenomena / 7.4：
Accelerated growth / 7.5：
The BKT transition / 7.6：
Deterministic graphs / 7.7：
Correlations in networks / 8：
Degree-degree correlations / 8.1：
How to measure correlations / 8.2：
Assortative and disassortative mixing / 8.3：
Why are networks correlated? / 8.4：
Degree correlations and clustering / 8.5：
Weighted networks / 9：
The strength of weak ties / 9.1：
World-wide airport network / 9.2：
Modelling weighted networks / 9.3：
Motifs, cliques, communities / 10：
Cliques in networks / 10.1：
Statistics of motifs / 10.2：
Modularity / 10.3：
Detecting communities / 10.4：
Hierarchical architectures / 10.5：
Navigation and search / 11：
Random walks on networks / 11.1：
Biased random walks / 11.2：
Kleinberg's problem / 11.3：
Navigability / 11.4：
Google PageRank / 11.5：
Traffic / 12：
Traffic in the Internet / 12.1：
Congestion / 12.2：
Cascading failures / 12.3：
Interacting systems on networks / 13：
The Ising model on networks / 13.1：
Critical phenomena / 13.2：
Synchronization / 13.3：
Games on networks / 13.4：
Avalanches as branching processes / 13.5：
Optimization / 14：
Critique of preferential attachment / 14.1：
Optimized trade-offs / 14.2：
The power of choice / 14.3：
Outlook / 15：
Further reading
References
Index
From the Internet to cellular networks
First steps towards networks / 1：
Euler's graph / 1.1：
Examples of graphs / 1.2：
6.

図書
図書
6. Geometric formulation of classical and quantum mechanics
Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily
出版情報: Singapore : World Scientific, c2011  xi, 392 p. ; 24 cm
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7.

図書
図書
7. Mathematical physics with partial differential equations
James R. Kirkwood
出版情報: Amsterdam : Academic Press, c2013  xii, 418 p. ; 24 cm
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目次情報: 続きを見る
Preface
Preliminaries / 1：
Self-Adjoint Operators / 1-1：
Fourier Coefficients
Exercises
Curvilinear Coordinates / 1-2：
Scaling Factors
Volume Integrals
The Gradient
The Laplacian
Spherical Coordinates
Other Curvilinear Systems
Applications
An Alternate Approach (Optional)
Approximate Identities and the Dirac-δ Function / 1-3：
Approximate Identities
The Dirac-δ Function in Physics
Some Calculus for the Dirac-δ Function
The Dirac-δ Function in Curvilinear Coordinates
The Issue of Convergence / 1-4：
Series of Real Numbers
Convergence versus Absolute Convergence
Series of Functions
Power Series
Taylor Series
Some Important Integration Formulas / 1-5：
Other Facts We Will Use Later
Another Important Integral
Vector Calculus / 2：
Vector Integration / 2-1：
Path Integrals
Line Integrals
Surfaces
Parameterized Surfaces
Integrals of Scalar Functions Over Surfaces
Surface Integrals of Vector Functions
Divergence and Curl / 2-2：
Cartesian Coordinate Case
Cylindrical Coordinate Case
Spherical Coordinate Case
The Curl
The Curl in Cartesian Coordinates
The Curl in Cylindrical Coordinates
The Curl in Spherical Coordinates
Green's Theorem, the Divergence Theorem, and Stokes' Theorem / 2-3：
The Divergence (Gauss') Theorem
Stokes' Theorem
An Application of Stokes' Theorem
An Application of the Divergence Theorem
Conservative Fields
Green's Functions / 3：
Introduction
Construction of Green's Function Using the Dirac-δ Function / 3-1：
Construction of Green's Function Using Variation of Parameters / 3-2：
Construction of Green's Function from Eigenfunctions / 3-3：
More General Boundary Conditions / 3-4：
The Fredholm Alternative (or, What If 0 Is an Eigenvalue?) / 3-5：
Green's Function for the Laplacian in Higher Dimensions / 3-6：
Fourier Series / 4：
Basic Definitions / 4-1：
Methods of Convergence of Fourier Series / 4-2：
Fourier Series on Arbitrary Intervals
The Exponential Form of Fourier Series / 4-3：
Fourier Sine and Cosine Series / 4-4：
Double Fourier Series / 4-5：
Exercise
Three Important Equations / 5：
Laplace's Equation / 5-1：
Derivation of the Heat Equation in One Dimension / 5-2：
Derivation of the Wave Equation in One Dimension / 5-3：
An Explicit Solution of the Wave Equation / 5-4：
Converting Second-Order PDEs to Standard Form / 5-5：
Sturm-Liouville Theory / 6：
The Self-Adjoint Property of a Sturm-Liouville Equation / 6-1：
Completeness of Eigenfunctions for Sturm-Liouville Equations / 6-2：
Uniform Convergence of Fourier Series / 6-3：
Separation of Variables in Cartesian Coordinates / 7：
Solving Laplace's Equation on a Rectangle / 7-1：
Laplace's Equation on a Cube / 7-2：
Solving the Wave Equation in One Dimension by Separation of Variables / 7-3：
Solving the Wave Equation in Two Dimensions in Cartesian Coordinates by Separation of Variables / 7-4：
Solving the Heat Equation in One Dimension Using Separation of Variables / 7-5：
The Initial Condition Is the Dirac-δ Function
Steady State of the Heat Equation / 7-6：
Checking the Validity of the Solution / 7-7：
Solving Partial Differential Equations in Cylindrical Coordinates Using Separation of Variables / 8：
An Example Where Bessel Functions Arise
The Solution to Bessel's Equation in Cylindrical Coordinates / 8-1：
Solving Laplace's Equation in Cylindrical Coordinates Using Separation of Variables / 8-2：
The Wave Equation on a Disk (Drum Head Problem) / 8-3：
The Heat Equation on a Disk / 8-4：
Solving Partial Differential Equations in Spherical Coordinates Using Separation of Variables / 9：
An Example Where Legendre Equations Arise / 9-1：
The Solution to Bessel's Equation in Spherical Coordinates / 9-2：
Legendre's Equation and Its Solutions / 9-3：
Associated Legendre Functions / 9-4：
Laplace's Equation in Spherical Coordinates / 9-5：
The Fourier Transform / 10：
The Fourier Transform as a Decomposition / 10-1：
The Fourier Transform from the Fourier Series / 10-2：
Some Properties of the Fourier Transform / 10-3：
Solving Partial Differential Equations Using the Fourier Transform / 10-4：
The Spectrum of the Negative Laplacian in One Dimension / 10-5：
The Fourier Transform in Three Dimensions / 10-6：
The Laplace Transform / 11：
Properties of the Laplace Transform / 11-1：
Solving Differential Equations Using the Laplace Transform / 11-2：
Solving the Heat Equation Using the Laplace Transform / 11-3：
The Wave Equation and the Laplace Transform / 11-4：
Solving PDEs with Green's Functions / 12：
Solving the Heat Equation Using Green's Function / 12-1：
Green's Function for the Nonhomogeneous Heat Equation
The Method of Images / 12-2：
Method of Images for a Semi-infinite Interval
Method of Images for a Bounded Interval
Green's Function for the Wave Equation / 12-3：
Green's Function and Poisson's Equation / 12-4：
Appendix: Computing the Laplacian with the Chain Rule
References
Index
Preface
Preliminaries / 1：
Self-Adjoint Operators / 1-1：
8.

図書
図書
8. Differential geometry of lightlike submanifolds (: [pbk.])
Krishan L. Duggal, Bayram Sahin
出版情報: Basel : Birkhäuser, c2010  xii, 475 p. ; 24 cm
シリーズ名: Frontiers in mathematics
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9.

図書
図書
9. Electronic structure calculations on graphics processing units : from quantum chemistry to condensed matter physics
Ross C. Walker and Andreas W. Goetz, editors
出版情報: Chichester, West Sussex : John Wiley & Sons, 2016  xxviii, 334 p. ; 25 cm
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10.

図書
図書
10. Physical mathematics. 2nd ed
Kevin Cahill
出版情報: Cambridge : Cambridge University Press, 2019  xxii, 757 p. ; 26 cm
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