Calculus for Cognitive Scientists

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Focusing on the integration of mathematics and computational tools in cognitive science, this book serves as a comprehensive guide for trainees. It delves into the Fourier series expansions essential for solving the cable equation, rooted in cellular biology and biophysics. Key topics include ion movement through membranes, the derivation of the transient cable equation, and solutions using separation of variables. Additionally, it covers the convergence of Fourier series and employs MatLab for practical implementation, culminating in the development of the Hodgkin-Huxley model for excitable neurons.