Enzo Gobbetto: A mathematical model of neural net and applications. Diplom thesis, Ferrara 1995. Original title: Un modello matematico di rete neurale e sue applicazioni.

INTRODUCTION TO NEURAL NETS Reasons for the interest in models of neural nets Properties and applications of neural nets Historical remarks FUNDAMENTAL CONCEPTS A mathematical definition of neural nets Learning algorithms Some examples FEED-FORWARD NETS The perceptron Multi-layer nets with inner neurons Back-propagation RECURRENT NETS Hopfield net The problem of the traveling salesman REFERENCES