This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of…
It has been known for many years that there is a close link between nonarchimedean systems and the orders of infinity and of smallness that are associated with the asymptotic behaviour of a function. The present text provides a background for this connection from the point of vi…
"This introduction to infinitesimal methods is aimed at undergraduate and graduate level students who have a general background in analysis. It surveys recent reformulations of the infinitesimal concept and gives a comprehensive account of the hyperreal number system and of nons…
"This introduction to infinitesimal methods is aimed at undergraduate and graduate level students who have a general background in analysis. It surveys recent reformulations of the infinitesimal concept and gives a comprehensive account of the hyperreal number system and of nons…
