Differential Equations and Data Analysis

Author:   Aleksei Beltukov
Publisher:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031622564


Pages:   190
Publication Date:   13 November 2024
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Differential Equations and Data Analysis


Overview

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.

Full Product Details

Author:   Aleksei Beltukov
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031622564


ISBN 10:   3031622561
Pages:   190
Publication Date:   13 November 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

The Cooling of a Light Bulb.- Usain Bolt’s Record.- The RC circuit.- Ion Channels.- Cart on a Track.- RLC circuit Resonance.- Tides.- RLC circuit Driven by a Square Wave.- A Train of Carts.- A Quarter Car Model.- Vibration Absorber.- Design of a Low Pass Filter.- Programming a Thermostat.- Balancing a Pendulum.

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Author Information

Aleksei Beltukov, Ph.D., is an Associate Professor in the Department of Mathematics at the University of the Pacific in California.  He received his B.S. in chemical engineering from Mendeleyev University in Moscow, Russia and Ph.D. in mathematics from Tufts University.  Dr. Beltukov’s research interests include inverse problems, harmonic analysis, differential equations, and data analysis.  

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Latest Reading Guide

NOV RG 20252

 

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