Mathematics for Neuroscientists

摘要: Virtually all scientific problems in neuroscience require mathematical analysis, and neuroscientists are increasingly required to have a significant understanding of methods. There is currently no comprehensive, integrated introductory book on the use mathematics neuroscience; existing books either concentrate solely theoretical modeling or discuss concepts for treatment very specific problems. This fills this need by systematically introducing computational tools precisely contexts that first established their importance neuroscience. All will be introduced from simple complex using most widely used computing environment, Matlab. code available via companion website, which continuously updated with additional updates necessitated software releases. provide grounded introduction fundamental mathematics, combined use, thus providing reader springboard cutting-edge research topics fostering tighter integration future generations students. - A didactic systematic analysis data formulation based experimental Provides introductions linear algebra, ordinary partial differential equations, Fourier transforms, probabilities stochastic processes Introduces numerical methods implement algorithms related each concept Illustrates applying them neuroscience, including Hodgkin-Huxley describe release, noise neurons, transforms receptive fields visual neurons implementation examples MATLAB code, also included download accompanying support website (which line major releases) Allows novice analyze results more sophisticated ways, consider broader framework