Peterson, James K.
Calculus for Cognitive Scientists Higher Order Models and Their Analysis / [electronic resource] : by James K. Peterson. - 1st ed. 2016. - XXXIII, 556 p. 135 illus., 115 illus. in color. online resource. - Cognitive Science and Technology, 2195-3996 . - Cognitive Science and Technology, .
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.
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 also shows how to solve cable models using separation of variables and the Fourier Series.
9789812878779
10.1007/978-981-287-877-9 doi
Computational intelligence.
Mathematical physics.
Neural networks (Computer science) .
Artificial intelligence.
Image processing—Digital techniques.
Computer vision.
Computational Intelligence.
Theoretical, Mathematical and Computational Physics.
Mathematical Models of Cognitive Processes and Neural Networks.
Artificial Intelligence.
Computer Imaging, Vision, Pattern Recognition and Graphics.
Q342
006.3
Calculus for Cognitive Scientists Higher Order Models and Their Analysis / [electronic resource] : by James K. Peterson. - 1st ed. 2016. - XXXIII, 556 p. 135 illus., 115 illus. in color. online resource. - Cognitive Science and Technology, 2195-3996 . - Cognitive Science and Technology, .
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.
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 also shows how to solve cable models using separation of variables and the Fourier Series.
9789812878779
10.1007/978-981-287-877-9 doi
Computational intelligence.
Mathematical physics.
Neural networks (Computer science) .
Artificial intelligence.
Image processing—Digital techniques.
Computer vision.
Computational Intelligence.
Theoretical, Mathematical and Computational Physics.
Mathematical Models of Cognitive Processes and Neural Networks.
Artificial Intelligence.
Computer Imaging, Vision, Pattern Recognition and Graphics.
Q342
006.3