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A concrete approach to mathematical modelling [[electronic resource] /] / Michael Mesterton-Gibbons
| A concrete approach to mathematical modelling [[electronic resource] /] / Michael Mesterton-Gibbons |
| Autore | Mesterton-Gibbons Mike |
| Pubbl/distr/stampa | New York, : John Wiley & Sons, 2007 |
| Descrizione fisica | 1 online resource (620 p.) |
| Disciplina | 511.8 |
| Soggetto topico | Mathematical models |
| ISBN |
1-282-25159-7
9786613813893 1-118-03248-9 1-118-03064-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Concrete Approach to Mathematical Modelling; CONTENTS; An ABC of modelling; I The Deterministic View; 1 Growth and decay. Dynamical systems; 1.1 Decay of pollution. Lake purification; 1.2 Radioactive decay; 1.3 Plant growth; 1.4 A simple ecosystem; 1.5 A second simple ecosystem; 1.6 Economic growth; 1.7 Metered growth (or decay) models; 1.8 Salmon dynamics; 1.9 A model of U.S. population growth; 1.10 Chemical dynamics; 1.11 More chemical dynamics; 1.12 Rowing dynamics; 1.13 Traffic dynamics; 1.14 Dimensionality, scaling, and units; Exercises; 2 Equilibrium
2.1 The equilibrium concentration of contaminant in a lake2.2 Rowing in equilibrium; 2.3 How fast do cars drive through a tunnel?; 2.4 Salmon equilibrium and limit cycles; 2.5 How much heat loss can double-glazing prevent?; 2.6 Why are pipes circular?; 2.7 Equilibrium shifts; 2.8 How quickly must drivers react to preserve an equilibrium?; Exercises; 3 Optimal control and utility; 3.1 How fast should a bird fly when migrating?; 3.2 How big a pay increase should a professor receive?; 3.3 How many workers should industry employ?; 3.4 When should a forest be cut? 3.5 How dense should traffic be in a tunnel?3.6 How much pesticide should a crop grower use-and when?; 3.7 How many boats in a fishing fleet should be operational?; Exercises; II Validating a Model; 4 Validation: accept, improve, or reject; 4.1 A model of U.S. population growth; 4.2 Cleaning Lake Ontario; 4.3 Plant growth; 4.4 The speed of a boat; 4.5 The extent of bird migration; 4.6 The speed of cars in a tunnel; 4.7 The stability of cars in a tunnel; 4.8 The forest rotation time; 4.9 Crop spraying; 4.10 How right was Poiseuille?; 4.11 Competing species; 4.12 Predator-prey oscillations 4.13 Sockeye swings, paradigms, and complexity4.14 Optimal fleet size and higher paradigms; 4.15 On the advantages of flexibility in prescriptive models; Exercises; III The Probabilistic View; 5 Birth and death. Probabilistic dynamics; 5.1 When will an old man die? The exponential distribution; 5.2 When will ? men die? A pure death process; 5.3 Forming a queue. A pure birth process; 5.4 How busy must a road be to require a pedestrian crossing control?; 5.5 The rise and fall of the company executive; 5.6 Discrete models of a day in the life of an elevator 5.7 Birds in a cage. A birth and death chain5.8 Trees in a forest. An absorbing birth and death chain; Exercises; 6 Stationary distributions; 6.1 The certainty of death; 6.2 Elevator stationarity. The stationary birth and death process; 6.3 How long is the queue at the checkout? A first look; 6.4 How long is the queue at the checkout? A second look; 6.5 How long must someone wait at the checkout? Another view; 6.6 The structure of the work force; 6.7 When does a T-junction require a left-turn lane?; Exercises; 7 Optimal decision and reward; 7.1 How much should a buyer buy? A first look 7.2 How many roses for Valentine's Day? |
| Record Nr. | UNINA-9910139338503321 |
Mesterton-Gibbons Mike
|
||
| New York, : John Wiley & Sons, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A concrete approach to mathematical modelling [[electronic resource] /] / Michael Mesterton-Gibbons
| A concrete approach to mathematical modelling [[electronic resource] /] / Michael Mesterton-Gibbons |
| Autore | Mesterton-Gibbons Mike |
| Pubbl/distr/stampa | New York, : John Wiley & Sons, 2007 |
| Descrizione fisica | 1 online resource (620 p.) |
| Disciplina | 511.8 |
| Soggetto topico | Mathematical models |
| ISBN |
1-282-25159-7
9786613813893 1-118-03248-9 1-118-03064-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Concrete Approach to Mathematical Modelling; CONTENTS; An ABC of modelling; I The Deterministic View; 1 Growth and decay. Dynamical systems; 1.1 Decay of pollution. Lake purification; 1.2 Radioactive decay; 1.3 Plant growth; 1.4 A simple ecosystem; 1.5 A second simple ecosystem; 1.6 Economic growth; 1.7 Metered growth (or decay) models; 1.8 Salmon dynamics; 1.9 A model of U.S. population growth; 1.10 Chemical dynamics; 1.11 More chemical dynamics; 1.12 Rowing dynamics; 1.13 Traffic dynamics; 1.14 Dimensionality, scaling, and units; Exercises; 2 Equilibrium
2.1 The equilibrium concentration of contaminant in a lake2.2 Rowing in equilibrium; 2.3 How fast do cars drive through a tunnel?; 2.4 Salmon equilibrium and limit cycles; 2.5 How much heat loss can double-glazing prevent?; 2.6 Why are pipes circular?; 2.7 Equilibrium shifts; 2.8 How quickly must drivers react to preserve an equilibrium?; Exercises; 3 Optimal control and utility; 3.1 How fast should a bird fly when migrating?; 3.2 How big a pay increase should a professor receive?; 3.3 How many workers should industry employ?; 3.4 When should a forest be cut? 3.5 How dense should traffic be in a tunnel?3.6 How much pesticide should a crop grower use-and when?; 3.7 How many boats in a fishing fleet should be operational?; Exercises; II Validating a Model; 4 Validation: accept, improve, or reject; 4.1 A model of U.S. population growth; 4.2 Cleaning Lake Ontario; 4.3 Plant growth; 4.4 The speed of a boat; 4.5 The extent of bird migration; 4.6 The speed of cars in a tunnel; 4.7 The stability of cars in a tunnel; 4.8 The forest rotation time; 4.9 Crop spraying; 4.10 How right was Poiseuille?; 4.11 Competing species; 4.12 Predator-prey oscillations 4.13 Sockeye swings, paradigms, and complexity4.14 Optimal fleet size and higher paradigms; 4.15 On the advantages of flexibility in prescriptive models; Exercises; III The Probabilistic View; 5 Birth and death. Probabilistic dynamics; 5.1 When will an old man die? The exponential distribution; 5.2 When will ? men die? A pure death process; 5.3 Forming a queue. A pure birth process; 5.4 How busy must a road be to require a pedestrian crossing control?; 5.5 The rise and fall of the company executive; 5.6 Discrete models of a day in the life of an elevator 5.7 Birds in a cage. A birth and death chain5.8 Trees in a forest. An absorbing birth and death chain; Exercises; 6 Stationary distributions; 6.1 The certainty of death; 6.2 Elevator stationarity. The stationary birth and death process; 6.3 How long is the queue at the checkout? A first look; 6.4 How long is the queue at the checkout? A second look; 6.5 How long must someone wait at the checkout? Another view; 6.6 The structure of the work force; 6.7 When does a T-junction require a left-turn lane?; Exercises; 7 Optimal decision and reward; 7.1 How much should a buyer buy? A first look 7.2 How many roses for Valentine's Day? |
| Record Nr. | UNINA-9910830314603321 |
|
Mesterton-Gibbons Mike
|
||
| New York, : John Wiley & Sons, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A concrete approach to mathematical modelling / / Michael Mesterton-Gibbons
| A concrete approach to mathematical modelling / / Michael Mesterton-Gibbons |
| Autore | Mesterton-Gibbons Mike |
| Pubbl/distr/stampa | New York, : John Wiley & Sons, 2007 |
| Descrizione fisica | 1 online resource (620 p.) |
| Disciplina | 511.8 |
| Soggetto topico | Mathematical models |
| ISBN |
1-282-25159-7
9786613813893 1-118-03248-9 1-118-03064-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Concrete Approach to Mathematical Modelling; CONTENTS; An ABC of modelling; I The Deterministic View; 1 Growth and decay. Dynamical systems; 1.1 Decay of pollution. Lake purification; 1.2 Radioactive decay; 1.3 Plant growth; 1.4 A simple ecosystem; 1.5 A second simple ecosystem; 1.6 Economic growth; 1.7 Metered growth (or decay) models; 1.8 Salmon dynamics; 1.9 A model of U.S. population growth; 1.10 Chemical dynamics; 1.11 More chemical dynamics; 1.12 Rowing dynamics; 1.13 Traffic dynamics; 1.14 Dimensionality, scaling, and units; Exercises; 2 Equilibrium
2.1 The equilibrium concentration of contaminant in a lake2.2 Rowing in equilibrium; 2.3 How fast do cars drive through a tunnel?; 2.4 Salmon equilibrium and limit cycles; 2.5 How much heat loss can double-glazing prevent?; 2.6 Why are pipes circular?; 2.7 Equilibrium shifts; 2.8 How quickly must drivers react to preserve an equilibrium?; Exercises; 3 Optimal control and utility; 3.1 How fast should a bird fly when migrating?; 3.2 How big a pay increase should a professor receive?; 3.3 How many workers should industry employ?; 3.4 When should a forest be cut? 3.5 How dense should traffic be in a tunnel?3.6 How much pesticide should a crop grower use-and when?; 3.7 How many boats in a fishing fleet should be operational?; Exercises; II Validating a Model; 4 Validation: accept, improve, or reject; 4.1 A model of U.S. population growth; 4.2 Cleaning Lake Ontario; 4.3 Plant growth; 4.4 The speed of a boat; 4.5 The extent of bird migration; 4.6 The speed of cars in a tunnel; 4.7 The stability of cars in a tunnel; 4.8 The forest rotation time; 4.9 Crop spraying; 4.10 How right was Poiseuille?; 4.11 Competing species; 4.12 Predator-prey oscillations 4.13 Sockeye swings, paradigms, and complexity4.14 Optimal fleet size and higher paradigms; 4.15 On the advantages of flexibility in prescriptive models; Exercises; III The Probabilistic View; 5 Birth and death. Probabilistic dynamics; 5.1 When will an old man die? The exponential distribution; 5.2 When will ? men die? A pure death process; 5.3 Forming a queue. A pure birth process; 5.4 How busy must a road be to require a pedestrian crossing control?; 5.5 The rise and fall of the company executive; 5.6 Discrete models of a day in the life of an elevator 5.7 Birds in a cage. A birth and death chain5.8 Trees in a forest. An absorbing birth and death chain; Exercises; 6 Stationary distributions; 6.1 The certainty of death; 6.2 Elevator stationarity. The stationary birth and death process; 6.3 How long is the queue at the checkout? A first look; 6.4 How long is the queue at the checkout? A second look; 6.5 How long must someone wait at the checkout? Another view; 6.6 The structure of the work force; 6.7 When does a T-junction require a left-turn lane?; Exercises; 7 Optimal decision and reward; 7.1 How much should a buyer buy? A first look 7.2 How many roses for Valentine's Day? |
| Record Nr. | UNINA-9910877090703321 |
|
Mesterton-Gibbons Mike
|
||
| New York, : John Wiley & Sons, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||