This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses. The relation between group representations and almost periodic functions is presented. The mean values offer an infinite-dimensional analogue of measure theory on finite-dimensional Euclidean spaces. This book is ideal for beginners who want to get through the basic...

This book provides an elementary introduction to the classical analysis of normed spaces, paying attention to non-linear topics such as fixed points, calculus and ordinary differential equations. It is aimed at beginners who want to move on to do their own research as soon as possible.