Intro to Mathematics of Neurons 2ed: Modeling in the Frequency Domain: 6 (Cambridge Studies in Mathematical Biology, Series Number 6) - Softcover

Hoppensteadt, Frank C.

Softcover

ISBN 10: 0521599296 ISBN 13: 9780521599290

Publisher: Cambridge University Press, 2008

Synopsis

This book describes the signal processing aspects of neural networks. It begins with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, and then 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, a theory of mnemonic surfaces is developed and studied and material on pattern formation and cellular automata is presented. Finally, large networks are studied, such as the thalamus-reticular complex circuit, believed to be involved in focusing attention, and the development of connections in the visual cortex. Additional material is also provided about nonlinear wave propagation in networks. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.

About this title

Review

"The author undoubtedly has a strong and thorough knowledge of both mathematics and neurosciences which allows him to put the reader on what he calls 'the launching point'...an excellent door that opens the researcher to further exploration of the mysteries of the brain. I conclude this review by repeating what is at the end of this very well written book: 'Mathematics is needed to understand how the brain works.'" Catherine Garcia-Reimbert

"...a brief and nice introduction to the mathematical methods and models used in the theory of neural networks and their applications." Monatshefte fur Mathematik

Book Description

This book describes signal processing aspects of neural networks. It begins with background material in electronic circuits, mathematical modeling, signal processing, and neurosciences, and then moves on to applications. These include small networks of neurons, a theory of mnemonic surfaces, pattern formation and cellular automata, and large networks, such as the complex circuit believed to be involved in focusing attention.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521599296
• ISBN 13: 9780521599290
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 232