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.
| ISBN: | 9783031995422 |
| Publication date: | 27th September 2025 |
| Author: | P C Matthews |
| Publisher: | Springer an imprint of Springer Nature Switzerland |
| Format: | Paperback |
| Pagination: | 235 pages |
| Series: | Springer Undergraduate Mathematics Series |
| Genres: |
Differential calculus and equations Computational biology / bioinformatics Cybernetics and systems theory Maths for engineers Mathematical physics |
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.
Differential Equations, Bifurcations and Chaos features in the following genres: Differential calculus and equations, Computational biology / bioinformatics, Cybernetics and systems theory, Maths for engineers, Mathematical physics
Differential Equations, Bifurcations and Chaos is available in Paperback
Differential Equations, Bifurcations and Chaos was written by P C Matthews and published by Springer an imprint of Springer Nature Switzerland
Differential Equations, Bifurcations and Chaos has 235 pages
Yes it is part of Springer Undergraduate Mathematics Series series
£40.49