Carmen Chicone

Ordinary Differential Equations with Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is developed primarily from the author's 20 years of teaching the course at his own university. It addresses both theory and applications, interweaving application with theory throughout the text. The author links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The revised edition includes considerable new material; the impressive array of exercises has been more than doubled in size and enhanced in scope.

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 729
• Erscheinungstermin: 19. Mai 2024
• Englisch
• ISBN-13: 9783031516528
• Artikelnr.: 70722531

Autorenporträt

Carmen Chicone is an emeritus professor of mathematics at the University of Missouri. He has authored two books, coauthored a third, and published over 100 research articles. His recent research interests are in the qualitative theory of ordinary and partial differential equations, applications of differential equations to mathematical models in science and engineering, and the development of numerical methods to obtain viable predictions from physically realistic model problems.

Inhaltsangabe

Ordinary Differential Equations.- Linear Systems and Stability of Nonlinear Systems.- Applications.- Hyperbolic Theory.- Continuation of Periodic Solutions.- Homoclinic Orbits, Melnikov's Method, and Chaos.- Averaging.- Local Bifurcation.