Adequacy of Mathematical Models in Control Theory, Physics, and Environmental Science

Evgenii F. Mishchenko, Alexandr S. Mishchenko and Mikhail I. Zelikin

Chapter 7 in Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems, 2004, pp 156-188 from Springer

Abstract: Abstract In contemporary Russian, the word “model” is often associated with a showing of fashionable clothes, that is, with something purely external having no more purpose than to decorate the real human essence. Here, we discuss the very opposite aspect of this notion. When speaking of mathematical models, we imply a speculative construction designed to express the real essence of a phenomenon and the causes of the processes in question. It must be clearly perceived that all natural phenomena are interrelated. The modest abilities of the human intellect do not allow taking all relations into account. But, luckily, some relations are strong, and others are vanishing. So we have a possibility to reveal the main acting forces, discarding all that are of secondary importance. This is the common basic paradigm of all natural sciences, if we exclude their purely descriptive aspects. This paradigm preordains the leading role of mathematics in the process of designing and exploring models.

Keywords: Solar Activity; Maximum Principle; Steklov Institute; Payback Period; Wolf Number (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7951-4_7

Ordering information: This item can be ordered from
http://www.springer.com/9783034879514

DOI: 10.1007/978-3-0348-7951-4_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().