Calculus for Cognitive Scientists Higher Order Models and Their Analysis /

• Main Author: Peterson, James K. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Cognitive Science and Technology,
• Subjects: Engineering.; Artificial intelligence.; Computer graphics.; Neural networks (Computer science).; Physics.; Computational intelligence.; Computational Intelligence.; Theoretical, Mathematical and Computational Physics.; Mathematical Models of Cognitive Processes and Neural Networks.; Artificial Intelligence (incl. Robotics).; Computer Imaging, Vision, Pattern Recognition and Graphics.

This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It...

Table of Contents:

• Introductory Remarks
• Linear Algebra
• Numerical Methods Order One ODEs
• Multivariable Calculus
• Integration
• Complex Numbers
• Linear Second Order ODEs
• Systems
• Numerical Methods Systems of ODEs
• Predator Prey Models
• Predator Prey Models With Self Interaction
• Disease Models
• A Cancer Model
• Nonlinear Differential Equations
• An Insulin Model
• Series Solutions
• Final Thoughts
• Background Reading.