书目名称 | Differential Equations and Data Analysis |
编辑 | Aleksei Beltukov |
视频video | |
概述 | 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 f |
丛书名称 | Synthesis Lectures on Mathematics & Statistics |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 2025 |
关键词 | Ordinary Differential Equations; Modeling with Differential Equations; Modeling with ODEs; Applied Diff |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-62257-1 |
isbn_softcover | 978-3-031-62259-5 |
isbn_ebook | 978-3-031-62257-1Series ISSN 1938-1743 Series E-ISSN 1938-1751 |
issn_series | 1938-1743 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |