Which English-Language Books on Mathematical Modeling Are Recommended?

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SUMMARY

The forum discussion centers on recommendations for English-language books on mathematical modeling, specifically for simulating physical processes. Participants suggest "Mathematical Modeling" by Mark M. Meerschaert as a suitable resource, noting its relevance to computational methods and dynamic models. Additionally, the discussion highlights the need for general information on the classification of mathematical models, referencing a Russian book by P.V. Trusov that covers various types of models and preparation stages.

PREREQUISITES
  • Understanding of mathematical modeling concepts
  • Familiarity with differential equations
  • Knowledge of computational methods in physics
  • Basic grasp of model classification (numeric, abstract, etc.)
NEXT STEPS
  • Research "Mathematical Modeling" by Mark M. Meerschaert
  • Explore the classification of mathematical models in literature
  • Investigate computational methods for optimization
  • Study dynamic models in mathematical modeling contexts
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Students, researchers, and professionals in fields such as applied mathematics, computational physics, and engineering who are seeking to enhance their understanding of mathematical modeling techniques and resources.

levadny
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Hello for All!
Please recommend English-language books on mathematical modeling. Interested in a general theory. In Russian I know these books, but I would like to get acquainted with English.
Thank you.
 
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Perhaps you could cite the authors of the Russian books and we could check if there's English translations.

When you say mathematical modeling do you mean modeling a physical system like numerically solving the differential equations of motion of the system or something else?

Here's one I used in a computational physics course:

http://physics.clarku.edu/sip/

It's available on amazon.com
 
Yes, I mean the simulation of physical processes of varying complexity.
Well, general information about the classification of mathematical models, if there is one.
 
For example.
I have Russian-language book "Introdution in math modeling" of P.V. Trusov. It contains classification of math model (numeric, abstract, etc) and common stage of prepare math model.

We have equal book in English-language?
 
levadny said:
Hello for All!
Please recommend English-language books on mathematical modeling. Interested in a general theory. In Russian I know these books, but I would like to get acquainted with English.

I think that https://www.amazon.com/dp/0123869129/?tag=pfamazon01-20 by Mark M. Meerschaert should do fine.
 
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QuantumQuest said:
I think that Mathematical Modeling by Mark M. Meerschaert should do fine.
Yes. It's good book. Anybody read this book?
 
levadny said:
Yes. It's good book. Anybody read this book?

I have read partially some chapters I needed (Computational Methods for Optimization and Dynamic Models) and I found it very good.
 
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