Calculus for Cognitive Scientists

Derivatives, Integrals and Models

James K. Peterson (Autor)

Buch | Softcover

507 Seiten

2018 | Softcover reprint of the original 1st ed. 2016
Springer Verlag, Singapore
978-981-13-5719-0 (ISBN)

Artikel merken

This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE models. It clearly uses MatLab in computational exercises where the models cannot be solved by hand, and also helps readers to understand that approximations cause errors – a fact that must always be kept in mind.

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.

Erscheinungsdatum	30.12.2018
Reihe/Serie	Cognitive Science and Technology
Zusatzinfo	105 Illustrations, color; XXXI, 507 p. 105 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
	Technik
Schlagworte	Antiderivatives • Cancer Model • First Order Multivariable • Function approximation • Function Smoothness • Hamilton’s Rule • protein models • Riemann integration • Viability Selection
ISBN-10	981-13-5719-6 / 9811357196
ISBN-13	978-981-13-5719-0 / 9789811357190
Zustand	Neuware