Neurons: A Mathematical Ignition (Number Theory and Its Applications, Band 9) - Hardcover

Inhaltsangabe

The book is largely self-contained and may be of interest to number theorists interested in applications. Zentralblatt Math This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of dynamical systems, even in a single neuron case, enables us to obtain amazingly good rational approximations to the HeckeMahler series with two variables. Some interesting numerical applications of our rational approximations are also discussed. This book is fundamentally self-contained and many topics required in it are explained from the beginning. Each chapter contains a number of instructive and mostly original exercises at various levels.

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