Calculus for Cognitive Scientists

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The book provides cognitive scientists in training with a comprehensive integration of mathematics, computer science, and science, focusing on practical applications. It builds on previous volumes by detailing the mathematics and computational tools necessary for understanding Fourier series expansions in the context of the cable equation, derived from cellular biology and biophysics. Key topics include ion movement through membranes, solutions for the cable model, convergence of Fourier series, and the implementation of MatLab tools, culminating in the development and solution of the Hodgkin-Huxley model for excitable neurons.