Calculus for Cognitive Scientists

Higher Order Models and Their Analysis

James K. Peterson (Autor)

Buch | Hardcover

556 Seiten

2016 | 1st ed. 2016
Springer Verlag, Singapore
978-981-287-875-5 (ISBN)

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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.

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.- 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.

Reihe/Serie	Cognitive Science and Technology
Zusatzinfo	115 Illustrations, color; 20 Illustrations, black and white; XXXIII, 556 p. 135 illus., 115 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Psychologie
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
	Technik
Schlagworte	Antiderivatives • Cancer Model • First Order Multivariable • First Order ODEs • Function approximation • Insulin Model • Multivariable Calculus • Nonlinear ODEs • Viability Selection
ISBN-10	981-287-875-0 / 9812878750
ISBN-13	978-981-287-875-5 / 9789812878755
Zustand	Neuware