{"product_id":"ordinary-differential-equations-book-virginia-w-noonburg-9781939512048","title":"Ordinary Differential Equations","description":"Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents a modern treatment of the material found in a first undergraduate course in ODEs. Standard analytical methods for first- and second-order equations are covered first, followed by numerical and graphical methods, and bifurcation theory. Higher dimensional theory follows next via a study of linear systems of first-order equations, including background material in matrix algebra. A phase plane analysis of two-dimensional nonlinear systems is a highlight, while an introduction to dynamical systems and an extension of bifurcation theory to cover systems of equations will be of particular interest to biologists. With an emphasis on real-world problems, this book is an ideal basis for an undergraduate course in engineering and applied sciences such as biology, or as a refresher for beginning graduate students in these areas.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50106351780113,"sku":"CIN1939512042G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51332924277009,"sku":"CIN1939512042VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1939512042.jpg?v=1751315589","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/ordinary-differential-equations-book-virginia-w-noonburg-9781939512048","provider":"World of Books ","version":"1.0","type":"link"}