| 书目名称 | Mathematical Tools for Neuroscience |
| 副标题 | A Geometric Approach |
| 编辑 | Richard A. Clement |
| 视频video | |
| 概述 | Intuitive explanation of mathematical ideas.Example applications from enduring areas of neuroscience research.Self-contained, with diagrams of all key insights |
| 丛书名称 | Lecture Notes in Morphogenesis |
| 图书封面 |  |
| 描述 | 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 geome |
| 出版日期 | Book 2022 |
| 关键词 | Fibre Bundle; Geodesic; Morse Theory; Betti Numbers; Hopf Bifurcation; Slow-fast System; Heteroclinic Cycl |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-98495-3 |
| isbn_softcover | 978-3-030-98497-7 |
| isbn_ebook | 978-3-030-98495-3Series ISSN 2195-1934 Series E-ISSN 2195-1942 |
| issn_series | 2195-1934 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:28:22
