Mathematical Concepts in Single-Neuron Dynamics

This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs" - the recurring dynamical concepts essential for understanding computational neuroscience. This concise, hands-on guide bridges the gap between mathematics and neuroscience, providing clear explanations of the key dynamical systems concepts that appear repeatedly in the computational/mathematical neuroscience literature.

Key Features:

• Geometric and intuitive descriptions that minimize mathematical formality while preserving clarity Interactive "Explorations" that reinforce concepts through computer-based exercises Complete solutions to all Explorations, allowing for self-guided learning
• Accessible approach suitable for both experimental neuroscientists and mathematicians
• Focused coverage of essential concepts that serve as building blocks for understanding complex neural models

This book serves as an ideal entry point into computational neuroscience for two distinct audiences: experimental neuroscientists seeking to understand computational techniques for collaboration, and mathematicians or mathematics students looking to apply their knowledge to neuroscience. Through its unique combination of concise text and hands-on exploration, readers will quickly develop the knowledge and skills needed to navigate the computational neuroscience literature with confidence.