Differential Equations, Bifurcations and Chaos
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 focus...
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| Format: | Elektronski eKnjiga |
| Jezik: | angleščina |
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Springer Nature Switzerland : Imprint: Springer,
2025.
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| Izdaja: | 1st ed. 2025. |
| Serija: | Springer Undergraduate Mathematics Series,
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| Online dostop: | https://doi.org/10.1007/978-3-031-99543-9 |
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| Izvleček: | 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. |
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| Fizični opis: | 1 online resource (XI, 235 p. 63 illus.). |
| ISBN: | 9783031995439 |
| ISSN: | 2197-4144 |
| DOI: | 10.1007/978-3-031-99543-9 |