Mickens, Ronald E. 1943- creator author. text bibliography flu 2022 monographic eng

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269 pages "Mathematical Modeling with Differential Equations aims to introduce various strategies for modeling 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 modeled. 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 modeling -- Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modeling using differential equations -- Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modeling"-- Ronald E. Mickens, Clark Atlanta University, USA. Includes bibliographical references and index. Differential equations Mathematical models Mathematical analysis QA371 .M4725 2022 515.35015118 MIC/M Mickens, Ronald E. Boca Raton : CRC Press, Taylor & Francis Group, 2022 Firest edition. (DLC) 2021056612 9781032014456 9781032015309 2021056611 DLC 211209 20230929161335.0 22342597 eng