Mathematics for Neuroscientists

Mathematics for Neuroscientists

This book provides a grounded introduction to the fundamental concepts of mathematics, neuroscience and their combined use, thus providing the reader with a springboard to cutting-edge research topics and fostering a tighter integration of mathematics and neuroscience for future generations of students. Mathematics for Neuroscientists alternates between mathematical chapters, introducing important concepts and numerical methods, and neurobiological chapters, applying these concepts and methods to specific topics. It covers topics ranging from classical cellular biophysics and proceeding up to systems level neuroscience. Starting at an introductory mathematical level and presuming no more than calculus through elementary differential equations, the level builds up as increasingly complex techniques are introduced and combined with earlier techniques. Each chapter includes a comprehensive series of exercises with solutions taken from the set developed by the authors in their course lectures. MATLAB code is included for each computational figure to allow the reader to reproduce them. Python code is provided for a select subsample of the same figures. Biographical notes referring the reader to more specialized literature and additional mathematical material that may be needed either to deepen the reader's understanding or to introduce basic concepts for less mathematically inclined readers completes each chapter.

Key features of the second edition:

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  Fully revised material and corrected text

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  Additional chapters on extracellular potentials, motion detection and neurovascular coupling

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  Revised selection of exercises with solutions

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  More than 200 Matlab scripts reproducing the figures as well as a selection of equivalent Python scripts

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