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Full Product Details

Author:   Rutherford Aris
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Edition:   New edition
Dimensions:   Width: 16.20cm , Height: 1.40cm , Length: 23.40cm
Weight:   0.421kg
ISBN:  

9780486681313

ISBN 10:   0486681319
Pages:   288
Publication Date:   28 March 2003
Audience:   College/higher education ,  Undergraduate
Format:   Paperback
Publisher's Status:   No Longer Our Product
Availability:   In Print  
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Table of Contents

1. What is a model? 1.1 The idea of a mathematical model and its relation to other uses of the word 1.2 Relations between models with respect to origins 1.3 Relations between models with respect to purpose and conditions 1.4 How should a model be judged? 2. The Different types of model 2.1 Verbal models and mechanical analogies 2.2 Finite models 2.3 Fuzzy subsets 2.4 Statistical models 2.5 Difference and differential equations 2.6 Stochastic models 3. How to formulate a model 3.1 Laws and conservation principles 3.2 Constitutive relations 3.3 Discrete and continuous models 4. How should a model be manipulated into its most responsive form? 4.1 Introductory suggestions 4.2 Natural languages and notations 4.3 Rendering the variables and parameters dismensionless 4.4 Reducing the number of equations and simplifying them 4.5 Getting partial insights into the form of the solution 4.5.1 The phase plane and competing populations 4.5.2 Coarse numerical methods and their uses 4.5.3 The interaction of easier and more difficult problems 5. How should a model be evaluated? 5.1 Effective presentation of a model 5.2 Extension of models 5.3 Observable quantities 5.4 Comparison of models and prototypes and of models among themselves Appendices A. Longitudinal diffusion in a packed bed B. The coated tube chromatograph and Taylor diffusion C. The stirred tank reactor References Subject index Name idex Appendices to the Dover Edition I. ""Re, k and p: A Conversation on Some Aspects of Mathematical Modelling"" II. The Jail of Shape III. The Mere Notion of a Model IV. ""Ut Simulacrum, Poesis"" V. Manners Makyth Modellers VI. How to Get the Most Out of an Equation without Really Trying

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