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商品詳細
Differential Equations, Bifurcations and Chaos.
・ISBN 978-3-031-99542-2 paper EUR 49.99
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| 著者・編者 | Matthews, Paul C., |
|---|---|
| シリーズ | Springer Undergraduate Mathematics Series |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2025 |
| ページ数 | 235 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16365＞ |
解説
This book introduces qualitative methods for understanding differential equations, especially when analytical solutions are not possible. Aimed at second-year undergraduate students in mathematics or science, it assumes prior knowledge of calculus, linear algebra, and curve sketching. The book focuses on phase plane methods for second-order differential equations, supported by earlier sections on analytical techniques and phase lines for first-order equations. The later chapters explore bifurcation theory and chaos. Emphasizing application over theory, the book includes diagrams, worked examples, and exercises, with minimal use of formal proofs.