Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Fox W.P., Goirdano F.R., Weir M.D. — First Course in Mathematical Modeling
Fox W.P., Goirdano F.R., Weir M.D. — First Course in Mathematical Modeling

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: First Course in Mathematical Modeling

Авторы: Fox W.P., Goirdano F.R., Weir M.D.

Аннотация:

This text provides an introduction to the entire modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem solving process to enhance a student's problem solving capabilities. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible, beginning with short projects, the book facilitates their progressive development and confidence in mathematics and modeling.


Язык: en

Рубрика: Технология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Third Edition

Год издания: 2003

Количество страниц: 538

Добавлена в каталог: 17.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Absolute deviations      110
Agility in sports      95
Anchoveta      480
Approximation      99
Area under a curve      177
Area under a curve, Monte Carlo algorithm      178
Arms race      336 444
assumptions      57
Asymptotic stability      414 423
Attrition-rate coefficient      438
Automobile gasoline mileage      88 311
Automobile gasoline mileage, autonomous system      413
Average rate of change      369 371
Average weight density      92
Baleen whale      480
Bass fishing derby      79—83
binary variables      241
Biological optimum, population level      483
Birthrate      371
Blood volume flow-rate problem      313
Body temperature problem      86
Body weight, versus blood flow through the heart      85 86
Body weight, versus height model      91
Body weight, versus pulse rate      85 86
Bornstein, Marc and Helen      134
Borrie, M.S.      393
Brahe, Tycho      67
Braking distance      59 68
Braking distance, differential equations model      391
Brewed coffee project      64
Buckingham, E.      307
Buckingham, theorem      307
Buffer stock      464
Burghes, David      393
Buying or renting a home project      65
Canadian lynx and hare problem      436
Centrifugal force problem      313
Characteristic dimension      76 79
Chebyshev approximation criterion      107
Chebyshev approximation criterion, compared with least-squares criterion      119
Choosing a best model      119
Clamped spline      164
Classification of variables      57
Coefficient of heat conduction      324
Collected data      98
Communicable disease problem      380
Competitive hunter model      419
Competitive hunter model, trajectories      422
Complete set of dimensionless products      306
Complete set of solutions to algebraic system      306
Concave downward      129
Concave upward      128
Constrained optimization problem      237
Constraints      237
Consumption (of gasoline)      88
Cost      55
Crater volume      320 323
Critical point      396
Cubic spline interpolation      159
Cumulative frequency      197
Damped pendulum      313
Dantzig, George      263
Data analysis      98
Deathrate      371
Decision variables      237
Deer population problem      403
Delivery costs      194
Demand curve      361
density      79 91
dependent variables      57
Derivative      369
Derivative, rate of change      370
Derivative, slope of tangent line      370
Design condition      332
Deterministic process      177
Dichotomous      282
Difference equation      4
Difference table      149 150
Differential equation      368
Differential equation, graphing solutions      395
Differential equation, systems of      412
DIMENSION      292
Dimension, table of physical entities      302
Dimensional analysis process      304
Dimensional analysis process, summary      309
Dimensional homogeneity      297
Dimensional homogeneity, Buckingham's theorem      307
Dimensionless product      295
Dimensionless product, Buckingham's theorem      307
Dimensionless product, complete set      306
Dimensionless product, solutions to homogeneous system      306
Direction field      395
Discrete dynamical systems      7
Discrete dynamical systems, approximating change      9
Discrete dynamical systems, iterating solutions      12
Discrete dynamical systems, numerical solutions      12
Discrete dynamical systems, spotted owl population      32
Discrete mathematics      368
Distortion of data points      104
Divided differences      148 151
Drag force      97
Drag force on a sphere problem      313
Drag force on a submarine      331
Drag force, damped pendulum      313
Drug dosage      382
Dynamic programs      239
Dynamical system      5
Economic optimum population level      484
Elimination constant      384
Empirical model      98 126
Equilibrium values      22 396
Equilibrium values, stability      29 398
Error      100
Euler's algorithm      406
Exhaustible resource      355 480
Explosion analysis      319
Explosion analysis, cube-root law      320
Explosion analysis, energy set      323
Explosion analysis, gravity scaling      321
Explosion analysis, one-fourth root law      320
Exponential decay      384
Exponential growth model      373
Extreme points      251
Falling raindrop      77
Falling raindrop, dimensional analysis      309
Falling raindrop, problem      304
Farming problem      248
Feasible region      250
Feasible region, empty      255
Feasible region, unbounded      254 255
Feasible solutions      250
Fibonacci search      290
Fidelity      55
Finite mathematics      368
First divided difference      148
Fishing industry model      480
Fishing regulation      488
fixed costs      356
flexibility      55
Fluid mechanics      318
Fluid mechanics, flow in a channel problem      335
Formulation error      100
Fragile      63
French curve      160
Frequency of demand      196
Froude number      318
Fuel rating (energy)      88
Function      336
Function, concavity      128
Function, decreasing      128
Function, increasing      128
Function, piecewise linear      241
Gause's principle      422
Gaussian elimination      306
Geometrically similar      75
Geometrically similar, fish      79
Geometrically similar, submarines      330
Goal programs      243
Golden ratio      283
Golden section search      283
Gradient method      470
Graphical analysis, limitations of      422
Graphical model fitting      101
Gravity scaling      321
Gross national product      394
Growth of yeast      376
Harbor system simulation      205
Harbor system simulation, algorithm      207
Harvest the Chesapeake Bay Problem      127
Harvest the Chesapeake Bay Problem, Blue crabs problem      131
Harvest the Chesapeake Bay Problem, Blue fish problem      130
Harvesting submodel      480
Hatton, Bob      166
Heat loss      85 86
Heating of a cooled object      14
Helicopter transportation project      64
histogram      196
Homogeneous system      305
Horelick, Brindell      382
Hydrostatic pressure problem      304
Hyperbola      462
Independent solution set      305
Independent variables      57
Infeasible      260
Initial value problem      404
Instantaneous rate of change      369
Integer program      239
Interest compounded continuously      410
Interpolation      98
Interpolation, approximation      99
Interpolation, cubic spline      159
Interpolation, linear      160
Interpolation, smoothing      146
Intersection points      260
Inventory model, deterministic      459
Inventory model, probabilistic      194
Investment in college education project      65
Investment problem      242
Iterated solutions (DDS)      31
Jaye, Michael      317
Kepler, Johannes      67
kinetic energy      70
Koont, Sinan      382
Ladder of Powers      128
Ladder of transformations      130
Lagrange multipliers      474
Lagrangian form      474
Laminar flow      334
Lanchester combat models      437
Lanchester combat models, conventional-guerilla combat      448
Lanchester combat models, parabolic law model problem      448
Lanchester combat models, refinements      441
Lanchester combat models, square law model      439
Lanchester, F.W.      438
Largest absolute deviation      107
Largest absolute deviation, Chebyshev approximation criterion      107
Launching a satellite problem      391
Least-squares criterion      110
Least-squares criterion, applications of      114
Least-squares criterion, compared with Chebyshev criterion      112
Least-squares criterion, power curve      115
Least-squares criterion, quadratic      116
Least-squares criterion, straight line      114
Least-squares criterion, transformed data      102 116
Leja, Stanley      419
Limit cycle      423
Limited growth model      374
linear combination      306
Linear interpolation      160
Linear program      239 251
Linear program, example      251
Linear programming, algebraic      259
Linear programming, geometric      250
Linear programming, revised simplex      535 Appendix
Linear programming, sensitivity analysis      273
Linear programming, simplex      263
Linear spline      160
Linear spline, demand submodel      199
Linear spline, harbor system simulation      212
Logistic curve      375
Logistic growth      374
Long jump problem      65
Long-term behavior      22
Lotka — Volterra model      435
Lottery problem      181
Lottery problem, lumber yield problem      86
Mach number      318
Malthus, Thomas      371
Malthus, Thomas, model of population growth      373
Mansfield, Ralph      301
Marginal cost      357
Marginal cost and taxation      360
Marginal revenue      357
Marginal value      279
Markov chain      217
Mathematical Contest in Modeling (COMAP)      Appendix A
Mathematical Contest in Modeling (COMAP), problems      491
Mathematical model      54
Mathematical model, construction      57
Mathematical model, cost      56
Mathematical model, deterministic      177
Mathematical model, fidelity      56
Mathematical model, flexibility      56
Mathematical model, fragile      63
Mathematical model, implementation      58
Mathematical model, interpretation      58
Mathematical model, maintenance      58
Mathematical model, predict versus explain      52
Mathematical model, probabilistic      177
Mathematical model, robust      63
Mathematical model, sensitivity      63
Mathematical model, types      55 56
Mathematical model, verification      58
Mathematical world      52
Maximum profit      356
McNulty, Jim      166
Measurement errors      100
Medical records      65
Mixed integer program      239
Mixing nuts problem      246
MLT system      296
Model fitting      97
Model fitting, analytic methods      107
Model fitting, empirical model fitting      126
Model type      53
Model type, deterministic      177
Model type, probabilistic      177
Modeling process      52
Modeling process as a closed system      54
Modeling process, iterative nature of      62
Modeling process, model construction      57
Modeling process, scientific method      61
Monte Carlo simulation      177
Monte Carlo simulation, area under a curve      177
Monte Carlo simulation, elevator system algorithm      525 Appendix
Monte Carlo simulation, harbor system algorithm      205
Monte Carlo simulation, inventory algorithm      202
Morning rush hour      213
Multiobjective program      242
Mutualism      412
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте