Differential Equations Bifurcations And Chaos (Paul C. Matthews)

Differential Equations Bifurcations And Chaos (Paul C. Matthews)

English | 2025 | ISBN: 3031995422 | 239 pages | True PDF,EPUB | 18.69 MB 9812563334

Catergory: Mathematics, Science, Nonfiction

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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