Read more
Informationen zum Autor NELSON G. MARKLEY, PhD, was a faculty member in the Mathematics Department at the University of Maryland before moving to Lehigh University where he served as Provost and then Senior Vice President. He has published numerous research papers including recent work in the Journal of Differential Equations, and is the author of an elementary text on probability used by thousands of university students over some twenty years. He received his doctoral degree from Yale University. Klappentext An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems. Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include: Basic dynamical systems concepts Constant coefficients Stability The Poincaré return map Smooth vector fields As a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students. Zusammenfassung An introduction to the main principles of ordinary differential equations. This work exposes the roots of modern dynamical systems in order to help readers gain a foundation of ordinary differential equations; and also provides a foundation for most of the sub disciplines of differential equations and dynamical systems. Inhaltsverzeichnis Preface. 1. Fundamental Theorems. 2. Classical Themes. 3. Linear Differential Equations. 4. Constant Coefficients. 5. Stability. 6. The Poincare Return Map. 7. Smooth Vector Fields. 8. Hyperbolic Phenomenon. 9. Bifurcations. Bibliography. Index. ...
List of contents
Preface.
1. Fundamental Theorems.
2. Classical Themes.
3. Linear Differential Equations.
4. Constant Coefficients.
5. Stability.
6. The Poincare Return Map.
7. Smooth Vector Fields.
8. Hyperbolic Phenomenon.
9. Bifurcations.
Bibliography.
Index.
