
An Introduction to the Mathematics of Neurons
Modeling in the Frequency Domain
Frank C. Hoppensteadt(Author)
Cambridge University Press
2nd Edition
Published on 28. June 1997
Book
Hardback
232 pages
978-0-521-59075-4 (ISBN)
Description
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.
Reviews / Votes
"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 MathematikMore details
Series
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
1 Tables, unspecified; 69 Line drawings, unspecified
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 18 mm
Weight
533 gr
ISBN-13
978-0-521-59075-4 (9780521590754)
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Hoppensteadt
An Introduction to the Mathematics of Neurons
Book
05/1986
Cambridge University Press
€43.33
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Content
Preface; 1. Some useful electrical circuits; 2. A theory of simple clocks; 3. Some mathematical models of neurons; 4. Signal processing in phase-locked systems; 5. Small physiological control networks; 6. Memory, phase change, and synchronization; 7. Attention and other brain phenomena; Appendices; References; Index.