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1.

図書

図書
J.R. Irwin
出版情報: London : Edward Arnold, 1981  viii, 352p ; 23cm
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2.

図書

図書
A.C. Bajpai, I.M. Calus, J.A. Fairley
出版情報: London ; New York : Wiley, c1973-  2 v. (various pagings) ; 25 cm
シリーズ名: A Series of programmes on mathematics for scientists and technologists
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3.

図書

図書
Edward A. Bender
出版情報: New York : Wiley, c1978  x, 256 p. ; 24 cm
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4.

図書

図書
Mary L. Boas
出版情報: New York : Wiley, c1983  xx, 793 p. ; 25 cm
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5.

図書

図書
Joseph Malkevitch, Walter Meyer
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1974  x, 515 p. ; 24 cm
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6.

図書

図書
Bonnie Averbach, Orin Chein ; [project editor, Patricia Brewer]
出版情報: San Francisco : W. H. Freeman, c1980  xvi, 400 p. ; 25 cm
シリーズ名: A series of books in the mathematical sciences
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7.

図書

図書
M.A. Ball
出版情報: Chichester : E. Horwood , New York : Halsted Press, 1985  296 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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8.

図書

図書
G. Hadley, M.C. Kemp
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier, 1972  ix, 521 p. ; 23 cm
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9.

図書

図書
Gilbert Strang
出版情報: Wellesley, Mass. : Wellesley-Cambridge Press, c1986  ix, 758 p. ; 25 cm
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目次情報: 続きを見る
Symmetric Linear Systems / 1:
Introduction / 1.1:
Gaussian elimination / 1.2:
Positive definite matrices / 1.3:
Minimum principles / 1.4:
Eigenvalues and dynamical systems / 1.5:
A review of matrix theory / 1.6:
Equilibrium Equations / 2:
A framework for the applications / 2.1:
Constraints and Lagrange multipliers / 2.2:
Electrical networks / 2.3:
Structures in equilibrium / 2.4:
Least squares estimation and the Kalman filter / 2.5:
Equilibrium in the Continuous Case / 3:
One-dimensional problems / 3.1:
Differential equations of equilibrium / 3.2:
Laplace's equation and potential flow / 3.3:
Vector calculus in three dimensions / 3.4:
Equilibrium of fluids and solids / 3.5:
Calculus of variations / 3.6:
Analytical Methods / 4:
Fourier series and orthogonal expansions / 4.1:
Discrete Fourier series and convolution / 4.2:
Fourier integrals / 4.3:
Complex variables and conformal mapping / 4.4:
Complex integration / 4.5:
Numerical Methods / 5:
Linear and nonlinear equations / 5.1:
Orthogonalization and eigenvalue problems / 5.2:
Semi-direct and iterative methods / 5.3:
The finite element method / 5.4:
The fast Fourier transform / 5.5:
Initial-Value Problems / 6:
Ordinary differential equations / 6.1:
Stability and the phase plane and chaos / 6.2:
The Laplace transform and the z-transform / 6.3:
The heat equation vs. the wave equation / 6.4:
Difference methods for initial-value problems / 6.5:
Nonlinear conservation laws / 6.6:
Network Flows and Combinatorics / 7:
Spanning trees and shortest paths / 7.1:
The marriage problem / 7.2:
Matching algorithms / 7.3:
Maximal flow in a network / 7.4:
Optimization / 8:
Introduction to linear programming / 8.1:
The simplex method and Karmarkar's method / 8.2:
Duality in linear programming / 8.3:
Saddle points (minimax) and game theory / 8.4:
Nonlinear optimization / 8.5:
Software for scientific computing
References and acknowledgements
Solutions to selected exercises
Index
Symmetric Linear Systems / 1:
Introduction / 1.1:
Gaussian elimination / 1.2:
10.

図書

図書
James Bradley
出版情報: Reading, Mass. ; Tokyo : Addison-Wesley, c1988  xiv, 685 p. ; 24 cm
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