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: | Elektronički e-knjiga |
| Jezik: | engleski |
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Izdanje: | 1st ed. 2025. |
| Serija: | Springer Undergraduate Mathematics Series,
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| Teme: | |
| Online pristup: | https://doi.org/10.1007/978-3-031-99543-9 |
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| 100 | 1 | |a Matthews, Paul C. |e author. |0 (orcid)0000-0002-2011-9303 |1 https://orcid.org/0000-0002-2011-9303 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Differential Equations, Bifurcations and Chaos |h [electronic resource] / |c by Paul C. Matthews. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XI, 235 p. 63 illus.). | ||
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| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
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| 505 | 0 | |a Chapter 1. Introduction -- Chapter 2. Analytical Methods for Differential Equations -- Chapter 3. Qualitative Methods for First-Order Differential Equations -- Chapter 4. Second-Order Linear Systems -- Chapter 5. Second-Order Nonlinear Systems -- Chapter 6. Bifurcations -- Chapter 7. Difference Equations -- Chapter 8. Chaos -- Chapter 9. Solutions to Odd-Numbered Exercises. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Biomathematics. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Applied Dynamical Systems. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Mathematical and Computational Biology. |
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| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||