Differential Equations and Data Analysis
Buch in deiner Nähe kaufen
Beschreibung
This book is focused on modeling with linear differential equations with constant coefficients. The author starts with the elementary natural growth equation and ends with the heat equation on the real line. The emphasis is on linear algebra, Fourier theory, and specifically data analysis, which is given a very prominent role and is often the book's main driving force. All aspects of modeling with linear differential equations are illustrated by analyzing real and simulated data in MATLAB®. These modeling case studies are of particular interest to students who anticipate having to use differential equations in their fields. The book is self-contained and is appropriate as a supplement for a first course in differential equations whose prerequisites include proficiency in multivariate calculus and MATLAB literacy.
This book is focused on modeling with linear differential equations with constant coefficients. The author starts with the elementary natural growth equation and ends with the heat equation on the real line. The emphasis is on linear algebra, Fourier theory, and specifically data analysis, which is given a very prominent role and is often the book's main driving force. All aspects of modeling with linear differential equations are illustrated by analyzing real and simulated data in MATLAB®. These modeling case studies are of particular interest to students who anticipate having to use differential equations in their fields. The book is self-contained and is appropriate as a supplement for a first course in differential equations whose prerequisites include proficiency in multivariate calculus and MATLAB literacy.
Focuses on linear ODEs with constant coefficients, data analysis, and engineering design Discuss the process of translating physical laws into the language of ODEs and estimation of model parameters from data Utilizes data analysis to motivate and reinforce techniques for solving linear ODEs with constant coefficients
Autor*in
Aleksei Beltukov
Themen in »Differential Equations and Data Analysis«
Ordinary Differential Equations Modeling with Differential Equations Modeling with ODEs Applied Differential Equations Fourier Analysis Engineering Design
Stimmen zu »Differential Equations and Data Analysis«
“Drawing on nearly two decades of teaching experience, the author structures the book into ten chapters, beginning with population models and ending with frequency response analysis, while interweaving the theory, data analysis, and computation throughout. ... The book remains a valuable and practical contribution, standing out in the field of ODE textbooks with its real-data orientation and the balanced use of computation and theory.” (Shyamsunder Kumawat, Mathematical Reviews, January, 2026 )
()