Have over a hundred years of brain research revealed all its secrets? This book is motivated by a realization that cortical structure and behavior can be explained by a synergy of seemingly different mathematical notions: global attractors, which define non-invertible neural firing rate dynamics, random graphs, which define connectivity of neural circuit, and prime numbers, which define the dimension and category of cortical operation. Quantum computation is shown to ratify the main conclusion of the book: loosely connected small neural circuits facilitate higher information storage and processing capacities than highly connected large circuits. While these essentially separate mathematical notions have not been commonly involved in the evolution of neuroscience, they are shown in this book to be strongly inter-related in the cortical arena. Furthermore, neurophysiological experiments, as well as observations of natural behavior and evidence found in medical testing of neurologically impaired patients, are shown to support, and to be supported by the mathematical findings. Related Link(s) Press Release - The Mathematical Model of the Mind Sample Chapter(s) Chapter 6: Primal-size Neural Circuits in Trees of Meta-periodic Interaction Chapter 11: Firing-rate Mode Segregation by Neural Circuit Polarization Chapter 16: Autonomous Gait Entrainment in the Neurologically Impaired Contents: Prologue Introduction Some Mathematical Preliminaries Cortical Graphs and Neural Circuit Primes: Polarity Codes and Subcritical Linguistics Hebbian Random Graphs and Firing-rate Dynamics Synaptic Polarity and Primal-size Categories of Neural Circuit Codes Primal-size Neural Circuits in Trees of Meta-periodic Interaction Firing-rate Linguistics: Firing-rate Dynamics Irreversibility Discrete Iteration Maps of Neural Firing in Cortical Development Global Attractors of Neural Firing-rate in Early Development Global Attractors of Neural Firing-rate in Maturity Firing-rate Mode Segregation by Neural Circuit Polarization Learning and Memory by Circuit Polarization Cortical Quantum Effects: Some Quantum Computation Preliminaries Associative Memory by Quantum Set Intersection: The Edge of Small Neural Circuits Sensorimotor Control: Circuit Polarity in Sensorimotor Control Autonomous Gait Entrainment in the Neurologically Impaired Circuit Polarity and Singularity Segregation in Cortical Recordings Epilogue References Index Readership: Professors, teachers, theoreticians, experimentalists, practitioners, advanced undergraduate students and graduate students in the following fields: Neuroscience, Medical Neurology, Mathematics, Physics, Biology, Cognition, Psychology, Information theory, Theoretical and practical coding, Computer Science, Computer Engineering, Software engineering, Hardware engineering, Virtual reality design, Machine learning theory and practice, Popular science.