Del 0 - Cognitive Science and Technology

Calculus for Cognitive Scientists

Derivatives, Integrals and Models

Häftad, Engelska, 2018

AvJames K. Peterson

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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.

Produktinformation

Utgivningsdatum2018-12-09
Mått155 x 235 x 29 mm
Vikt809 g
FormatHäftad
SpråkEngelska
SerieCognitive Science and Technology
Antal sidor507
FörlagSpringer Verlag, Singapore
ISBN9789811357190

Tillhör följande kategorier

Tillämpad matematik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik
Systemvetenskap och AI inom Data och IT
Artificiell intelligens inom Data och IT

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)