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Calculus for Cognitive Scientists: Higher Order Models and Their Analysis de James K. Peterson

Calculus for Cognitive Scientists: Higher Order Models and Their Analysis: Cognitive Science and Technology

Autor James K. Peterson
en Limba Engleză Hardback – 16 feb 2016
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.
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Specificații

ISBN-13: 9789812878755
ISBN-10: 9812878750
Pagini: 500
Ilustrații: XXXIII, 556 p. 135 illus., 115 illus. in color.
Dimensiuni: 155 x 235 x 32 mm
Greutate: 1 kg
Ediția:1st ed. 2016
Editura: Springer Nature Singapore
Colecția Springer
Seria Cognitive Science and Technology

Locul publicării:Singapore, Singapore

Public țintă

Research

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

Well-designed self-study program on linear and nonlinear models based on both ordinary and partial differential equations Comprehensively discusses the computational tools used to find solutions Includes the predator-prey model, a model of diabetes detection and the cable model for excitatory neurons Includes supplementary material: sn.pub/extras

Recenzii

“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)