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Nome campo	dettagli
Dewey Class	570.285
Titolo	Mathematical Tools for Neuroscience ( EBook) : A Geometric Approach / / by Richard A. Clement.
Autore	Clement, Richard A.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Pubblicazione	Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details	X, 162 p. 121 illus., 106 illus. in color. : online resource.
Serie	Lecture Notes in Morphogenesis 2195-1942
ISBN	9783030984953
Summary Note	This book provides a brief but accessible introduction to a set of related, mathematical ideas that have proved useful in understanding the brain and behaviour. If you record the eye movements of a group of people watching a riverside scene then some will look at the river, some will look at the barge by the side of the river, some will look at the people on the bridge, and so on, but if a duck takes off then everybody will look at it. How come the brain is so adept at processing such biological objects? In this book it is shown that brains are especially suited to exploiting the geometric properties of such objects. Central to the geometric approach is the concept of a manifold, which extends the idea of a surface to many dimensions. The manifold can be specified by collections of n-dimensional data points or by the paths of a system through state space. Just as tangent planes can be used to analyse the local linear behaviour of points on a surface, so the extension to tangent spaces can be used to investigate the local linear behaviour of manifolds. The majority of the geometric techniques introduced are all about how to do things with tangent spaces. Examples of the geometric approach to neuroscience include the analysis of colour and spatial vision measurements and the control of eye and arm movements. Additional examples are used to extend the applications of the approach and to show that it leads to new techniques for investigating neural systems. An advantage of following a geometric approach is that it is often possible to illustrate the concepts visually and all the descriptions of the examples are complemented by comprehensively captioned diagrams. The book is intended for a reader with an interest in neuroscience who may have been introduced to calculus in the past but is not aware of the many insights obtained by a geometric approach to the brain. Appendices contain brief reviews of the required background knowledge in neuroscience and calculus.:
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-98495-3
Link alle Opere Legate	Riferimenti soggetto: . Biomathematics . Biometry . Biostatistics . Computational Neuroscience . Mathematical and Computational Biology . Sensorimotor cortex . Sensorimotor Processing . Authors: author . Clement, Richard A. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Morphogenesis . Classification: 570.285 .

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Mathematical Tools for Neuroscience: A Geometric Approach /

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