Overview
- Links both neuroscience and applied mathematics
- Extensive illustrations, examples and exercises using real data
- Includes supplementary material: sn.pub/extras
Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 35)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
From the reviews:
“This excellent 422 page hardcover publication is an accessible and concise monograph. … Mathematical Foundations is a timely contribution that will prove useful to mathematics graduate students and faculty interested in the application of dynamical systems theory to cellular and systems neuroscience. … welcome addition to the pedagogical literature. … For mathematics graduate students who are investigating the field of computational neuroscience, I would highly recommend Mathematical Foundations of Neuroscience as their first computational neuroscience text.” (Gregory D. Smith, The Mathematical Association of America, December, 2010)
"...it is a good substitute for a lengthy regime of abstract maths classes, but it is also well integrated into the field of neuroscience. Ermentrout and Terman's book conveys much of the advanced mathematics used in theoretical neuroscience today." (Vincent A. Billock, Nature)
“Gives an engaging, detailed, and truly authoritative treatment of neural dynamics … . suited for mathematicians at the advanced undergraduate and beginning graduate level, and beyond, who wish to enter the field. … a valuable and often-consulted text for researchers. It is also an excellent resource for instructors of intermediate to advanced courses … . the text is very readable, even with its impressively wide scope. In addition, many subsections give short, independent reviews of mathematical topics that will be very useful in the classroom.” (Krešimir Josić and Eric Shea-Brown, SIAM Review, Vol. 53 (3), 2011)
“This book emphasises the use of dynamical systems techniques in building and understanding models of neural cells and tissues. It has an extensive set of exercises at the end of each chapter and is ideally suited as a course text in a final-year undergraduate or first-year Ph.D. applied mathematics programme in mathematical neuroscience. … Overall this is a unique text on the topic of mathematical neuroscience … that fills a much-needed gap in the mathematical literature for both students and researchers.” (Stephen Coombes, Mathematical Reviews, Issue 2012 a)
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Foundations of Neuroscience
Authors: G. Bard Ermentrout, David H. Terman
Series Title: Interdisciplinary Applied Mathematics
DOI: https://doi.org/10.1007/978-0-387-87708-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Hardcover ISBN: 978-0-387-87707-5Published: 08 July 2010
Softcover ISBN: 978-1-4614-2621-9Published: 05 September 2012
eBook ISBN: 978-0-387-87708-2Published: 01 July 2010
Series ISSN: 0939-6047
Series E-ISSN: 2196-9973
Edition Number: 1
Number of Pages: XV, 422
Number of Illustrations: 38 illustrations in colour
Topics: Mathematical and Computational Biology, Neurobiology, Neurosciences