# Mathematical Modelling Techniques

## Aris, Rutherford

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( su 7 valutazioni fornite da GoodReads )

"Engaging, elegantly written." — Applied Mathematical Modelling. A distinguished theoretical chemist and engineer discusses the types of models — finite, statistical, stochastic, and more — as well as how to formulate and manipulate them for best results. Filled with numerous examples, the book includes three appendices offering further examples treated in more detail.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

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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## 1.Mathematical Modelling Techniques

Editore: Dover Pubns (1995)
ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Dover Pubns, 1995. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486681313

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## 2.Mathematical Modelling Techniques Format: Trade Paper

Editore: Dover Publishers
ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486681319

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## 3.Mathematical Modelling Techniques

Editore: Dover Publications Inc. (1994)
ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Dover Publications Inc., 1994. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486681313

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## 4.Mathematical Modelling Techniques

ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 1047192

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## 5.Mathematical Modelling Techniques (Paperback)

Editore: Dover Publications Inc., United States (1995)
ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Dover Publications Inc., United States, 1995. Paperback. Condizione libro: New. New edition. 230 x 164 mm. Language: English . Brand New Book. Engaging, elegantly written. Applied Mathematical Modelling Mathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models. The author begins with a discussion of the term model, followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original domain of validity. Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide. A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment. Bulletin of the Institute of Mathematics and Its Applications. Codice libro della libreria AAC9780486681313

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## 6.Mathematical Modelling Techniques (Paperback)

Editore: Dover Publications Inc., United States (1995)
ISBN 10: 0486681319 ISBN 13: 9780486681313
Nuovi Paperback Quantità: 10
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Descrizione libro Dover Publications Inc., United States, 1995. Paperback. Condizione libro: New. New edition. 230 x 164 mm. Language: English . Brand New Book. Engaging, elegantly written. Applied Mathematical Modelling Mathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models. The author begins with a discussion of the term model, followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original domain of validity. Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide. A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment. Bulletin of the Institute of Mathematics and Its Applications. Codice libro della libreria AAC9780486681313

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## 7.Mathematical Modelling Techniques

ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Condizione libro: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-ING-00560965

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## 8.Mathematical Modelling Techniques (Dover Books on Computer Science)

Editore: Dover Publications
ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486681319 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 4801820

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## 9.Mathematical Modelling Techniques (Dover Books on Computer Science)

Editore: Dover Publications (1995)
ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Dover Publications, 1995. Paperback. Condizione libro: New. Codice libro della libreria 0486681319

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## 10.MATHEMATICAL MODELLING TECHNIQUES: (Dover Books on Computer Science)

Editore: Dover Publications, New York, NY (1995)
ISBN 10: 0486681319 ISBN 13: 9780486681313
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Descrizione libro Dover Publications, New York, NY, 1995. Soft Cover. Condizione libro: NEW. Dover Reprint. BRAND NEW Copy w/trace edge rubs to softcover. Mathematical modelling designed to aid mathematicians, physicists & other scientist to formulate equations from non-mathematical situations. First published 1978; this is a Dover reissue of the original. 269 pgs. 6 chapters: 1, What is a Model?; 2, The Different Types of Model; 3, How to Formulate a Model; 4, How Should a Model be Manipulated into Its Most Responsive Form;?; and 5, How Should a Model be Evaluated?, followed by appendices. Codice libro della libreria 017820

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