## A First Course in Mathematical ModelingCengage Learning, 2008. júl. 3. - 640 oldal Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the 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 students' problem-solving capabilities -- whatever their level. 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. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

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### Tartalomjegyzék

Modeling Change | 1 |

The Modeling Process
Proportionality and
Geometric Similarity | 53 |

Model Fitting | 100 |

Experimental Modeling | 130 |

Simulation Modeling | 177 |

Discrete Probabilistic
Modeling | 215 |

Optimization of Discrete
Models | 233 |

Modeling Using Graph Theory | 289 |

Modeling with a Differential
Equation | 401 |

Modeling with Systems
of Differential Equations | 466 |

Optimization of Continuous
Models | 509 |

Problems from the Mathematics Contest in Modeling 19852008 | 539 |

An Elevator Simulation
Algorithm | 577 |

The Revised Simplex Method | 585 |

Brief Review of Integration Techniques | 588 |

Answers to Selected Problems | 595 |

### Más kiadások - Összes megtekintése

A First Course in Mathematical Modeling Frank Giordano,William P. Fox,Steven Horton Korlátozott előnézet - 2013 |

A First Course in Mathematical Modeling Frank R. Giordano,William P. Fox,Steven B. Horton Korlátozott előnézet - 2013 |

A First Course in Mathematical Modeling Frank R. Giordano,William P. Fox,Steven B. Horton,Maurice D. Weir Korlátozott előnézet - 2008 |

### Gyakori szavak és kifejezések

½ Figure absolute deviations algorithm amount approximate ASSO ASST assume assumptions average baleen whales behavior Calculate coefﬁcients consider constant constraint construct cost Country criterion cubic spline data points deﬁne density dependent variable depicted in Figure derivative determine difference equations differential equation dimensional analysis dimensionless products discussion divided difference dynamical system edge elevator equilibrium value estimate Euler’s example extreme point factors ﬁnd ﬁnding ﬁrst ﬁsh ﬁt ﬂoor ﬂow ﬂuid geometrically similar given Golden Section Search graph graphical increases initial integration intersection point interval krill least-squares length Let’s linear program mathematical model maximize maximum method minimize missiles objective function obtain optimal solution phase plane plot polynomial predict problem proﬁt proportionality random numbers represents rest point satisﬁed Section ships simulation slope solution curve solve speciﬁc Step submodel Suppose Table trajectory UMAP velocity vertex vertices weight Y force zero