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商品詳細
Applied Mathematical Modelling of Engineering Problems. Softcover reprint of the original 1st ed. 2003.
・ISBN 978-1-4613-4815-3 paper EUR 149.99
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| 著者・編者 | Hritonenko, N.V. / Yatsenko, Yuri P., |
|---|---|
| シリーズ | Applied Optimization |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2012 |
| ページ数 | 286 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24066＞ |
解説
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.