MARC details
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03102nam a22003017a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20250226152619.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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250225b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030984946 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
616.8:514 |
| Item number |
CLE-M |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Clement, Richard A. |
| 245 ## - TITLE STATEMENT |
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| Title |
Mathematical tools for neuroscience : |
| Remainder of title |
a geometric approach |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Cham, Switzerland : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
2022. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x, 162 pages : |
| Other physical details |
illustrations (15 b/w illustrations, 106 illustrations in colour) |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Lecture notes on morphogenesis |
| International Standard Serial Number |
2195-1934 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Neuroscience |
| General subdivision |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Morse theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Eye movements |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Neural integrator |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Hebbian learning |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Geodesic |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of content |
| Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-3-030-98495-3/1">https://link.springer.com/content/pdf/bfm:978-3-030-98495-3/1</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/60875539-mathematical-tools-for-neuroscience#CommunityReviews">https://www.goodreads.com/book/show/60875539-mathematical-tools-for-neuroscience#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
