An Introduction to the Mathematics of Neurons

This book describes signal processing aspects of neural networks how we receive and assess information. Beginning with a presentation of the necessary background material in electronic circuits mathematical modeling and analysis signal processing and neurosciences it proceeds to applications. These applications include small networks of neurons such as those used in control of warm-up and flight in moths and control of respiration during exercise in humans. Next Hoppensteadt develops a theory of mnemonic surfaces and presents material on pattern formation and cellular automata. Finally the text addresses the large networks such as the thalamus-reticular complex circuit that may be involved in focusing attention and the development of connections in the visual cortex. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences mathematics engineering medicine and life sciences.