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Neurons: A Mathematical Ignition
Hardcover
Series: Number Theory and Its Applications, Book 9
General MathematicsGeneral Science
ISBN13: 9789814618618
Publisher: World Scientific Publishing Company
Published: Sep 27 2014
Pages: 232
Weight: 1.20
Height: 1.00 Width: 6.20 Depth: 9.10
Language: English
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 Hecke-Mahler 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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