Calculus for Cognitive Scientists

Dr. James Peterson is an Associate Professor in Mathematical Sciences and Biological Sciences at Clemson University, USA. His formal training is in mathematics but he has worked as an aerospace engineer and a software engineer also. He enjoys working on very hard problems that require multiple disciplines to make sense out of and he reads, studies and plays in cutting edge areas a lot as part of his interests.

• Introductory Remarks.- Viability Selection.- Limits and Basic Smoothness.- Continuity and Derivatives.- Sin, Cos and All That.- Antiderivatives.- Substitutions.- Riemann Integration.- The Logarithm and Its Inverse.- Exponential and Logarithm Function Properties.- Simple Rate Equations.- Simple Protein Models.- Logistics Models.- Function Approximation.- Extreme Values.- Numerical Methods Order One ODEs.- Advanced Protein Models.- Matrices and Vectors.- A Cancer Model.- First Order Multivariable Calculus.- Second Order Multivariable Calculus.- Hamilton’s Rule In Evolutionary Biology.- Final Thoughts.- Background Reading.

“The introductory remarks in this book address the concern that many presentations of mathematics focus so heavily on traditional content that the usefulness of mathematics in other fields can be overlooked. … the approach is both demanding and thorough, but the brief exercise sets remain focused on providing opportunities for straightforward practice of the principles at hand. … Summing Up: Recommended. Lower- and upper-division undergraduates.” (N. W. Schillow, Choice, Vol. 54 (4), December, 2016)