Mathematical Foundations of Neuroscience van Bard Ermentrout and David H. Terman is an English-language textbook that focuses on the application of mathematics to neuroscience questions. This reference work addresses the complex models that arise in neuroscience and is intended for researchers and professionals who are interested in the mathematical and computational methods used in this field.
The book offers an in-depth exploration of the mathematical foundations that arise in neuronal activity and circuits. Methods from nonlinear dynamics, numerical analysis, perturbation theory, and systems theory are combined to understand and analyze modern models. Special attention is given to the role of noise, multiple timescales, and spatial interactions in complex neuronal patterns.
The content connects with topics such as computational biology, bioinformatics, neuroscience, and applied mathematics. Thanks to chapters with summaries, illustrations, and practical exercises, this book is suitable as a foundation both for courses and for further research within the mathematical foundations of neuroscience.
Series: Interdisciplinary Applied Mathematics