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140122 ||| eng |
020 |
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|a 9781441991607
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100 |
1 |
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|a Hritonenko, N.V.
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245 |
0 |
0 |
|a Applied Mathematical Modelling of Engineering Problems
|h Elektronische Ressource
|c by N.V. Hritonenko, Yuri P. Yatsenko
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250 |
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|a 1st ed. 2003
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260 |
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|a New York, NY
|b Springer US
|c 2003, 2003
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300 |
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|a XXI, 286 p
|b online resource
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505 |
0 |
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|a Some Basic Models Of Physical Systems -- Models Of Continuum Mechanical Systems -- Variational Models and Structural Stability -- Integral Models Of Physical Systems -- Modelling in Bioengineering -- Modelling Of Technological Renovation In Production Systems
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653 |
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|a Engineering mathematics
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653 |
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|a Calculus of Variations and Optimization
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653 |
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|a Control theory
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653 |
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|a Systems Theory, Control
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653 |
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|a System theory
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653 |
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|a Mathematical Modeling and Industrial Mathematics
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653 |
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|a Engineering / Data processing
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653 |
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|a Mathematical optimization
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653 |
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|a Mathematical and Computational Engineering Applications
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653 |
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|a Calculus of variations
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653 |
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|a Mathematical models
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700 |
1 |
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|a Yatsenko, Yuri P.
|e [author]
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b SBA
|a Springer Book Archives -2004
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490 |
0 |
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|a Applied Optimization
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028 |
5 |
0 |
|a 10.1007/978-1-4419-9160-7
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856 |
4 |
0 |
|u https://doi.org/10.1007/978-1-4419-9160-7?nosfx=y
|x Verlag
|3 Volltext
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082 |
0 |
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|a 003.3
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520 |
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|a The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects
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