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商品詳細
Methods of Mathematical Modelling : Continuous Systems and Differential Equations. 1st ed. 2015.
・ISBN 978-3-319-23041-2 paper EUR 34.99
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| 著者・編者 | Witelski, Thomas / Bowen, Mark, |
|---|---|
| シリーズ | Springer Undergraduate Mathematics Series |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2015 |
| ページ数 | 305 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-21872> |
解説
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics.
Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems.
Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.