Which English-Language Books on Mathematical Modeling Are Recommended?

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Discussion Overview

The discussion centers around recommendations for English-language books on mathematical modeling, with a focus on general theory and classification of mathematical models. Participants express interest in resources that cover the simulation of physical processes and the preparation of mathematical models.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests recommendations for English-language books on mathematical modeling, particularly interested in general theory.
  • Another participant asks for the titles of the Russian books to check for English translations and clarifies the meaning of mathematical modeling, suggesting it may involve numerical solutions of differential equations.
  • A participant specifies that they are interested in the simulation of physical processes and seeks information on the classification of mathematical models.
  • One participant mentions a Russian-language book by P.V. Trusov that includes classifications of mathematical models and inquires about an equivalent English-language book.
  • Another participant suggests a specific book by Mark M. Meerschaert as a suitable resource.
  • There is a mention of the book "Mathematical Modeling" by Mark M. Meerschaert, with one participant affirming its quality based on partial readings of specific chapters.

Areas of Agreement / Disagreement

Participants express a general interest in finding suitable English-language resources, but there is no consensus on specific titles beyond the mention of Meerschaert's book. Some participants have differing views on the scope of mathematical modeling being discussed.

Contextual Notes

There are references to specific Russian-language books and their classifications, but no detailed information is provided about their content or how they compare to the suggested English-language resources.

Who May Find This Useful

Readers interested in mathematical modeling, particularly those seeking English-language resources or comparisons with Russian literature on the topic.

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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