Differential Equations and Data Analysis
Series: Synthesis Lectures on Mathematics & Statistics;
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29 352 Ft
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Product details:
- Edition number 2024
- Publisher Springer Nature Switzerland
- Date of Publication 13 November 2024
- Number of Volumes 1 pieces, Book
- ISBN 9783031622564
- Binding Hardback
- No. of pages190 pages
- Size 240x168 mm
- Language English
- Illustrations XI, 190 p. 81 illus., 1 illus. in color. Illustrations, black & white 620
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Long description:
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.
MoreTable 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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