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1.

図書

図書
Christian Constanda
出版情報: Boca Raton : Chapman & Hall/CRC, c2010  xviii, 325 p. ; 24 cm
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目次情報: 続きを見る
Foreword
Preface to the Second Edition
Preface to the First Edition
Ordinary Differential Equations: Brief Review / Chapter 1:
First-Order Equations / 1.1:
Homogeneous Linear Equations with Constant Coefficients / 1.2:
Nonhomogeneous Linear Equations with Constant Coefficients / 1.3:
Cauchy-Euler Equations / 1.4:
Functions and Operators / 1.5:
Exercises
Fourier Series / Chapter 2:
The Full Fourier Series / 2.1:
Fourier Sine Series / 2.2:
Fourier Cosine Series / 2.3:
Convergence and Differentiation / 2.4:
Sturm-Liouville Problems / Chapter 3:
Regular Sturm-Liouville Problems / 3.1:
Other Problems / 3.2:
Bessel Functions / 3.3:
Legendre Polynomials / 3.4:
Spherical Harmonics / 3.5:
Some Fundamental Equations of Mathematical Physics / Chapter 4:
The Heat Equation / 4.1:
The Laplace Equation / 4.2:
The Wave Equation / 4.3:
Other Equations / 4.4:
The Method of Separation of Variables / Chapter 5:
Equations with More than Two Variables / 5.1:
Linear Nonhomogeneous Problems / Chapter 6:
Equilibrium Solutions / 6.1:
Nonhomogeneous Problems / 6.2:
The Method of Eigenfunction Expansion / Chapter 7:
The Fourier Transformations / 7.1:
The Full Fourier Transformation / 8.1:
The Fourier Sine and Cosine Transformations / 8.2:
Other Applications / 8.3:
The Laplace Transformation / Chapter 9:
Definition and Properties / 9.1:
Applications / 9.2:
The Method of Green's Functions / Chapter 10:
General Second-Order Linear Partial Differential Equations with Two Independent Variables / 10.1:
The Canonical Form / 11.1:
Hyperbolic Equations / 11.2:
Parabolic Equations / 11.3:
Elliptic Equations / 11.4:
The Method of Characteristics / Chapter 12:
First-Order Linear Equations / 12.1:
First-Order Quasilinear Equations / 12.2:
The One-Dimensional Wave Equation / 12.3:
Other Hyperbolic Equations / 12.4:
Perturbation and Asymptotic Methods / Chapter 13:
Asymptotic Series / 13.1:
Regular Perturbation Problems / 13.2:
Singular Perturbation Problems / 13.3:
Complex Variable Methods / Chapter 14:
Systems of Equations / 14.1:
Answers to Odd-Numbered Exercises
Appendix
Bibliography
Index
Foreword
Preface to the Second Edition
Preface to the First Edition
2.

図書

図書
edited by Robert G. Voigt, David Gottlieb, and M. Yousuff Hussaini
出版情報: Philadelphia : SIAM, 1984  vii, 267 p. ; 27 cm
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3.

図書

図書
George F. Carrier, Carl E. Pearson
出版情報: New York : Academic Press, 1976  xi, 320 p. ; 24 cm
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4.

図書

図書
Joe F. Thompson, Z.U.A. Warsi, C. Wayne Mastin
出版情報: New York : North-Holland, c1985  xv, 483 p. ; 23 cm
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5.

図書

図書
Heinrich G.W. Begehr
出版情報: Singapore ; River Edge, N.J. : World Scientific, c1994  ix, 273 p. ; 23 cm
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6.

図書

図書
Jacques-Louis Lions
出版情報: [Paris] : Gauthier-Villars, c1985  xxiv, 552 p. ; 25 cm
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7.

図書

図書
edited by S. Sengupta ... [et al.]
出版情報: Swansea : Pineridge, 1988  1069 p. ; 24 cm
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8.

図書

図書
edited by A.M. Vinogradov
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1989  vi, 242 p. ; 25 cm
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9.

図書

図書
Dean G. Duffy
出版情報: Boca Raton : Chapman & Hall/CRC, c2004  xvii, 708 p. ; 24 cm
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10.

図書

図書
edited by J. Häuser, C. Taylor
出版情報: Swansea : Pineridge, 1986  793 p. ; 24 cm
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