Ordinary differential equations and applications by a k nandakumaranp s datti raju k georgedepartment of mathematicsiisc bangalorefor more details. It contains both theory and applications with the applications interwoven with the theory throughout the text the author also links ordinary differential equations with advanced mathematical topics such as differential geometry lie group theory analysis in infinite dimensional spaces and even abstract algebra. Presents ordinary differential equations with a modern approach to mathematical modelling discusses linear differential equations of second order miscellaneous solution techniques oscillatory motion and laplace transform among other topics. Ordinary differential equations with applications carmen chicone springer to jenny for giving me the gift of time preface this book is based on a two semester course in ordinary differential equa application of the implicit function theorem is a recurring theme in the book for example the implicit function theorem is used to prove . Ordinary differential equations and dynamical systems gerald teschl this is a preliminary version of the book ordinary differential equations and dynamical systems published by the american mathematical society ams
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