00000nam a22000008i 4500 UP-1685954869149575187 Buklod 20240201140228.0 m | | | ta 240201s2022 flu a r b|001 0|eng d 9781032014456 (hbk) 22342597 BC-72430 Linar International Book resources, Inc. Php 6,499.00 Department of Mathematics and Computer Science DLC BAG rda eng QA 371 M53 2022 Mickens, Ronald E. 1943- author. Mathematical modeling with differential equations Ronald E. Mickens. Boca Raton, FL CRC Press, an imprint of Taylor & Francis Group, LLC 2022. xiv, 269 pages illustrations 26 cm text rdacontent unmediated rdamedia volume rdacarrier Includes bibliographical references and index. "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"--Provided by publisher. Differential equations. Mathematical models. Mathematical analysis. FO UPBAG UPBAG-MAIN QA 371 M53 2022 Book