Mathematical Modelling with Differential Equations

Ronald E. Mickens

2022年5月 · CRC Press

電子書

284

頁數

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評分和評論未經驗證瞭解詳情

關於這本電子書

Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas—Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems.

Features

Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modelling.
Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modelling using differential equations.
Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modelling.

關於作者

Ronald E. Mickens is an Emeritus Professor at Clark Atlanta University, Atlanta, GA, and is a Fellow of several professional organizations, including the American Physical Society. He has written or edited seventeen books and published more than 350 peer-reviewed research articles.