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1.

図書
図書
1. Geometric modeling
Michael E. Mortenson
出版情報: New York : Wiley, c1985  xvi, 763 p. ; 25 cm
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Curves
Hermite Curves
Bezier Curves
B-Spline Curves
Surfaces
The Bicubic Hermite Surface
Bezier Surfaces
B-Spline Surfaces
Solids
Complex Model Construction
Relational Geometric Synthesis
Appendices
Bibliography
Index
Curves
Hermite Curves
Bezier Curves
2.

図書
図書
2. An introduction to mathematical modeling
Edward A. Bender
出版情報: New York : Wiley, c1978  x, 256 p. ; 24 cm
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3.

図書
図書
3. Principles of mathematical modeling
Clive L. Dym, Elizabeth S. Ivey
出版情報: New York : Academic Press, c1980  xiii, 260 p. ; 25 cm
シリーズ名: Computer science and applied mathematics
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Preface and Acknowledgments
General Notions; Agenda / 1：
Foundations / Part A：
Dimensional Analysis / 2：
Dimensions and Units
Dimensional Analysis--Motivation
Dimensional Analysis--The Process
Units
Summary
Problems
Scaling / 3：
Size and Shape
Size and Function
Size and Limits
Consequences of Choosing a Scale
Approximation and Reasonableness of Answers / 4：
Taylor Series
Binomial Expansion
Trigonometric Series
Algebraic Approximations and Significant Figures
Validating the Model--Errors
Averaging--Mean, Median, Mode
Curve Fitting: Least Squares Method; The Continuum Hypothesis
Validating the Model--Testing
Applications / Part B：
Free Oscillations of a Pendulum / 5：
Results of an Experiment
Some Dimensional Analysis
Equations of Motion
More Dimensional Analysis
Linear Model of the Pendulum
Energy Considerations--Conservation
Energy Considerations--Dissipation
Nonlinear Model of the Pendulum
Transformation of Equations of Motion / Appendix：
Forced Motion of Linerr Oscillators / 6：
The Spring-Mass Oscillator
Building Vibration
Automobile Suspension System
Acoustic Resonator
Particle Moving in a Magnetic Field
Electrical Circuits and the Electrical-Mechanical Analogy
Forced Motion of a Linear Oscillator: Resonance and Impedance
Traffic Flow Models / 7：
Macroscopic Traffic Flow Theory--I. Continuum Hypothesis
Macroscopic Traffic Flow Theory--II. The Fundamental Diagram
Linear Car-Following Models
Stability Analysis for Linear Car-Following Models
Nonlinear Car-Following Models
Exponential Models / 8：
Exponential Behavior
Exponential Functions
Radioactive Decay
Discharge of a Capacitor in an RC Circuit
Charging a Capacitor in an RC Circuit
Inflation
Compound Interest
Growth in Demand for Highways
Population Growth
The Lotka-Volterra Equations
Lanchester's Law
Operations Research: Linear Programming / 9：
Optimization via the Calculus
Optimization via Linear Programming
The Transportation Problem
Network Analysis
Diffraction and Scale / 10：
Diffraction Geometry
Diffraction Gratings
X-Ray and Atomic Particle Diffraction
Sound Wave Diffraction
Elementary Transcendental Functions / Appendix I：
The Differential Equation dN/dt = [lambda]N / Appendix II：
The Differential Equation m d[superscript 2]x/dt[superscript 2] + kx = F(t) / Appendix III：
Bibliography and References
Index
Preface and Acknowledgments
General Notions; Agenda / 1：
Foundations / Part A：
4.

図書
図書
4. Graphs, models, and finite mathematics
Joseph Malkevitch, Walter Meyer
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1974  x, 515 p. ; 24 cm
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5.

図書
図書
5. Teaching and applying mathematical modelling (: Ellis Horwood Limited ; : Halsted Press)
editors, J.S. Berry ... [et al.]
出版情報: Chichester : E. Horwood , New York : Halsted Press, 1984  xvi, 491 p. ; 24 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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6.

図書
図書
6. Dynamic system identification : experiment design and data analysis
Graham C. Goodwin and Robert L. Payne
出版情報: New York : Academic Press, 1977  x, 291 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 136
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7.

図書
図書
7. Modelling of dynamical systems (v. 1 ; v. 2)
edited by H. Nicholson
出版情報: Stevenage [Hertfordshire] ; New York : P. Peregrinus on behalf of the Institution of Electrical Engineers, c1980-1981  2 v. ; 24 cm
シリーズ名: IEE control engineering series ; v. 12-13
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8.

図書
図書
8. Mathematical modeling with computers
Samuel L. S. Jacoby, Janusz S. Kowalik, chapter 3 by H. Blair Burner
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1980  xi, 292 p. ; 24 cm
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9.

図書
図書
9. Mathematical models and applications : with emphasis on the social, life, and management sciences
[by] Daniel P. Maki [and] Maynard Thompson
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1973  xv, 492 p. ; 24 cm
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10.

図書
図書
10. Mathematical modeling and digital simulation for engineers and scientists
Jon M. Smith
出版情報: New York : Wiley, c1977  xii, 332 p. ; 24 cm
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