Differential Equations, Bifurcations and C...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Paul C. Matthews was on the faculty of the University of Nottingham for more than two decades. A specialist of dynamical systems and their numerical analysis, he is the author of the bestselling textbook Vector Calculus (Springer, 1998).

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2025
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Springer Undergraduate Mathematics Series
Inhalt:	xi 235 S. 63 s/w Illustr. 235 p. 63 illus.
ISBN-13:	9783031995422
ISBN-10:	3031995422
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Matthews, Paul C.
Hersteller:	Springer Springer International Publishing Springer International Publishing AG Springer Undergraduate Mathematics Series
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 14 mm
Von/Mit:	Paul C. Matthews
Erscheinungsdatum:	27.09.2025
Gewicht:	0,382 kg