Modelling in Natural Sciences

Design, Validation and Case Studies

Inbunden, Engelska, 2003

AvTibor Müller,Harmund Müller

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There are three rudiments to the art of modelling: intuition, a sound theoretical background and experience. Intuition is beyond the reach of any teaching. Experience may to some extent be substituted by studying existing models. Initially, the foundations for the theoretic background needed in modelling must be laid down. This book defines the wide application of the term. The basic concepts are imaging processes and the fine structure of mappings. The main emphasis is on the imaging of dynamic processes which are analysed and subdivided into their atomic constituents by means of systems analysis. The cyclic structure and the stages of models' set-up are explained. The evaluation of a model's quality is regarded as a stochastic process. The aspects of grade used in different fields of sciences are brought into perspective. Thus, a quantitative concept of validity on the basis of conditional degrees of rational belief can be developed.

Produktinformation

Utgivningsdatum2003-02-14
Mått155 x 235 x 34 mm
Vikt962 g
FormatInbunden
SpråkEngelska
Antal sidor459
Upplaga2003
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540001539

Tillhör följande kategorier

1 Models.- 2 Systems.- 3 Mappings.- 4 Characterizing Models.- 5 The Art of Modelling.- 6 Inference.- 7 Probabilities.- 8 Tolerance.- 9 Tests.- 10 Validity.- 11 Suggestions for Further Reading.- References.- Modelling the Evolution of Galaxies.- Modern Soda Lakes: Model Environments for an Early Alcaline Ocean.- Modelling in Palaeoanthropology: Reconstructing the development of paleospecies.- A Mathematical Model for the Identification of Human Impacts on Floods: The Modau Case Study.- Physical Modeling of a Glass Melter.- Modelling of Complexation Equilibria.- Weather Prediction by Numerical Modelling of Atmospheric Processes.- Simulation of Hydrogen Behaviour During a Severe Accident in a Nuclear Power Plant.- List of Contributors.

From the reviews: "Tibor and Harmund Muller's, 'MODELLING IN NATURAL SCIENCES: DESIGN, VALIDATION AND CASE STUDIES' provided some new ideas and certainly added considerable background and syntax to the concepts of scientific modelling ... . First impressions were that the book looked good and was well presented. ... is well structured, building upon successive ideas and concepts without making any large jumps of logic. ... I recommend anyone involved with modelling in science to read it, as it will provide some context to the modelling process." (Kahan Cervoj, The Australian Geologist, Issue 130, March, 2004) "This is an interesting book about models and modelling process which naturally splits into two parts. In the first part, the authors discuss the general theory of modelling going step by step from the consideration of a model to its testing and validity. The exposition starts with numerous examples that reflect many-sided meanings of the word 'model'. ... It shall prove to be useful both for theoretists interested in the foundations of modelling and specialists interested in applied modelling." (Svitlana P. Rogovchenko, Zentralblatt MATH, Vol. 1023, 2003)