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1.

図書
図書
1. Mathematics for engineering. 2nd ed
W. Bolton
出版情報: Oxford : Newnes, 2000  x, 339 p. ; 25 cm
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目次情報: 続きを見る
Preface
Number and mensuration / Section A：
Number and units / 1：
Introduction / 1.1：
Significant figures / 1.2：
Indices / 1.3：
SI units / 1.4：
Problems
Mensuration / 2：
Areas and perimeters / 2.1：
Volumes and surface areas / 2.3：
Irregular areas / 2.4：
Volumes of irregular solids / 2.5：
Algebra / Section B：
Algebraic equations / 3：
Manipulating equations / 3.1：
Manipulation of formulae / 3.3：
Manipulation of units / 3.4：
Linear equations / 4：
Solving linear equations / 4.1：
Simultaneous equations / 4.3：
Quadratic equations / 5：
Factors / 5.1：
Completing the square / 5.3：
Solving by formula / 5.4：
Equations in action / 6：
Straight line motion / 6.1：
Electrical circuits / 6.3：
Further algebra / Section C：
Sequences and series / 7：
Sequences / 7.1：
Series / 7.3：
Binomial series / 7.4：
Approximations / 7.5：
Exponentials / 8：
The exponential / 8.1：
Manipulating exponentials / 8.4：
Logarithms / 9：
Properties of logarithms / 9.1：
Solving exponential equations / 9.4：
Trigonometry / Section D：
Trigonometric ratios / 10：
Degrees and radians / 10.1：
Ratios for common angles / 10.3：
The sine rule / 10.5：
The cosine rule / 10.6：
The areas of triangles / 10.7：
Further trigonometry / 11：
Trigonometric relationships / 11.1：
Trigonometric ratios of sums of angles / 11.3：
Vectors / 12：
Addition of vectors / 12.1：
Subtraction of vectors / 12.3：
Resolution of vectors / 12.4：
Graphs / Section E：
Cartesian graphs / 13：
Graphs of equations / 13.3：
Graphs of trigonometric functions / 13.4：
Graphs of exponentials / 13.5：
Adding and subtracting functions / 13.6：
Solving equations graphically / 13.7：
Gradients / 13.8：
Areas under graphs / 13.9：
Straight-line motion / 14：
Distance-time graphs / 14.1：
Velocity-time graphs / 14.3：
Linear graphs / 15：
Finding linear laws / 15.1：
Reduction of laws to linear form / 15.3：
Log graph paper / 15.4：
Polar coordinates / 16：
Polar graphs / 16.1：
Alternating waveforms / 17：
Average value / 17.1：
Root-mean-square value / 17.3：
Phasors / 17.4：
Adding phasors / 17.5：
Subtracting phasors / 17.6：
Calculus / Section F：
Differentiation / 18：
Derivative of y = ax[superscript n] / 18.1：
Basic rules / 18.4：
Derivatives of trigonometric functions / 18.5：
Derivatives of exponential functions / 18.6：
Derivatives of logarithmic functions / 18.7：
The second derivative / 18.8：
Derivatives / 18.9：
Further differentiation / 19：
The product rule / 19.1：
The quotient rule / 19.3：
Function of a function / 19.4：
Maxima and minima / 20：
Turning points / 20.1：
Integration / 21：
Integration as the reverse of differentiation / 21.1：
Integration as the area under a graph / 21.3：
Calculus in action / 22：
Work / 22.1：
Root-mean square values / 22.4：
Current / 22.5：
Capacitors / 22.6：
Inductors / 22.7：
Answers
Index
Preface
Number and mensuration / Section A：
Number and units / 1：
2.

図書
図書
2. Mathematical foundations of computational engineering : a handbook
Peter Jan Pahl, Rudolf Damrath ; [translation, Felix Pahl]
出版情報: Berlin : Springer, c2001  xviii, 1008 p. ; 24 cm
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3.

図書
図書
3. Mathematical modeling : case studies from industry (: pbk)
edited by Ellis Cumberbatch, Alistair Fitt
出版情報: Cambridge : Cambridge University Press, 2001  xv, 299 p. ; 23 cm
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Contributors
Preface
Introduction
Mathematical Preliminaries / 0：
The Continuum Model / 0.1：
Conservation Laws / 0.1.1：
Diffusion / 0.2：
Flow and Deformation of Solids and Fluids / 0.3：
Equations of Motion / 0.3.1：
Incompressible Linear Viscous Fluid / 0.4：
Inviscid Incompressible Fluid / 0.4.1：
Inviscid Incompressible Irrotational Flow / 0.4.2：
Compressible Viscous Flow / 0.4.3：
Compressible Inviscid Flow / 0.4.4：
The Reynolds Number and Flow in a Viscous Boundary Layer / 0.4.5：
Viscous Flow at Low Reynolds Number / 0.4.6：
Viscous Flow in a Thin Layer / 0.4.7：
Linear Elasticity / 0.5：
Summary / 0.6：
References
Fluid-Mechanical Modelling of the Scroll Compressor / 1：
Leakage between Chambers / 1.1：
Governing Equations and Boundary Conditions / 1.2.1：
Dimensionless Parameters / 1.2.2：
Dimensionless Equations / 1.2.3：
Solution in the Quasi-Steady Limit / 1.2.4：
Conservation Equations for the Chambers / 1.3：
The Coupled Problem / 1.4：
The Small Coupling Limit / 1.4.1：
Numerical Results / 1.5：
Conclusions / 1.6：
Acknowledgements
Determining the Viscosity of a Carbon Paste Used in Smelting / 2：
Continuous Electrode Smelting / 2.1：
Problem Formulation / 2.2：
Simplified Analysis / 2.3：
Corner Solutions / 2.3.1：
Special Geometries / 2.4：
Further Analysis of the Velocity Test / 2.4.1：
Analysis of the Viscometer Test / 2.4.2：
Analysis of the Plasticity Test / 2.4.3：
The Boundary Layer at the Base of the Sample / 2.4.4：
Numerical Analysis and Results / 2.5：
Finite-Element Method / 2.5.1：
Results / 2.5.2：
Final Conclusions / 2.6：
Acknowledgement
The Vibrating Element Densitometer / 3：
Resonance / 3.1：
Added Mass Model / 3.3：
Fluid--Plate Model / 3.4：
Plate Equation / 3.4.1：
Fluid Equation / 3.4.2：
Fluid--Plate Interaction / 3.4.3：
Simple Analysis: Incorrect Boundary Conditions / 3.5：
Solution with Clamped Boundary Conditions / 3.6：
Remarks / 3.7：
Appendix
Acoustic Emission from Damaged FRP-Hoop-Wrapped Cylinders / 4：
Problem Description / 4.1：
Problem Solution / 4.3：
Further Analysis / 4.4：
Conclusion / 4.5：
Modelling the Cooking of a Single Cereal Grain / 5：
The Problem / 5.1：
Background / 5.3：
Heating a Single Grain / 5.4：
Sphere / 5.4.1：
Ellipsoid / 5.4.2：
Timescales for Wetting and Heating--Linear Models / 5.5：
Wetting the Grains--a Nonlinear Model / 5.6：
Numerical Solutions / 5.6.1：
Analytic Solutions--Mean Action Time / 5.6.2：
Log Mean Diffusivity / 5.6.3：
Degree of Overcook for the Present Process / 5.6.4：
Temperature Dependence of Wetting Times / 5.7：
Sensitivity Analysis / 5.8：
Conclusions and Further Extensions / 5.9：
Epidemic Waves in Animal Populations: A Case Study / 6：
History of RHD and its Introduction into New Zealand / 6.1：
What is Known about the Disease / 6.2：
What We Want to Know / 6.3：
The Modelling. Analytical/Numerical / 6.4：
Case: No Immunity (R(x, t) = 0) and No Breeding (a = 0) / 6.4.1：
Case: No Immunity (R(x, t) = 0) But Breeding Season (a [not equal] 0) / 6.4.2：
Parameter Values / 6.4.3：
Immunity / 6.5：
Results and Conclusions / 6.6：
Further Work / 6.7：
Dynamics of Automotive Catalytic Converters / 7：
Model Equations / 7.1：
Single-Oxidand Model and Nondimensionalization / 7.3：
Asymptotic Analysis of the Single-Oxidand Model / 7.4：
Warm-up Behavior / 7.4.1：
Light-off Behavior / 7.4.2：
Numerical Methods and Results / 7.5：
Further Analysis of the Single-Oxidand Model / 7.6：
Concluding Remarks / 7.7：
Analysis of an Endothermic Reaction in a Packed Column / 8：
The Problem and the Model / 8.1：
Analysis / 8.3：
Discussion / 8.4：
Further Modelling Considerations / 8.5：
Simulation of the Temperature Behaviour of Hot Glass during Cooling / 9：
Cooling of Glass / 9.1：
Mathematical Formulation of the Problem / 9.2：
Heat and Radiative Transfer Equations / 9.2.1：
Modelling of the Boundary Conditions for the Heat Transfer Equation / 9.2.2：
Numerical Solution Methods / 9.3：
The Heat Transfer Equation / 9.3.1：
Ray Tracing / 9.3.2：
A Diffusion Approximation / 9.3.3：
Two-Scale Analysis / 9.3.4：
Numerical Simulation and Results / 9.4：
Conclusions and Further Questions / 9.5：
Water Equilibration in Vapor-Diffusion Crystal Growth / 10：
Formulation / 10.1：
Analytical Treatment / 10.3：
Geometry / 10.3.1：
Method of Multiple Timescales / 10.3.2：
Solution / 10.3.3：
Numerical Approach / 10.4：
Modelling of Quasi-Static and Dynamic Load Responses of Filled Viscoelastic Materials / 10.5：
Nonlinear Extension Models, Experiments and Results / 11.1：
Neo-Hookean Extension Models / 11.2.1：
Approximation of Nonlinear Constitutive Laws / 11.2.2：
Nonlinear and Hysteretic Models, Experiments and Results / 11.3：
Quasi-Static Hysteresis Loops / 11.3.1：
A Dynamic Model with Hysteresis / 11.3.2：
A Gasdynamic-Acoustic Model of a Bird Scare Gun / 11.4：
Model / 12.1：
Pot / 12.2.1：
Jet / 12.2.3：
Pipe / 12.2.4：
Radiated Field / 12.2.5：
Nonlinear Correction in the Pipe / 12.2.6：
Conclusions and Suggestions for Further Work / 12.3：
Paper Tension Variations in a Printing Press / 13：
Problem Definition / 13.1：
Printing Presses / 13.2：
Modelling / 13.3：
Motion over a Roller / 13.3.1：
Motion in a Span / 13.3.2：
The N-Roller Start-up Problem / 13.4：
Index / 13.5：
Contributors
Preface
Introduction
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