Mathematical modeling with differential equations / Ronald E. Mickens, Clark Atlanta University, USA.

Author/creator Mickens, Ronald E., 1943-
Format Electronic
Publication InfoBoca Raton : CRC Press, Taylor & Francis Group, 2022.
Description1 online resource
Supplemental ContentFull text available from Taylor & Francis eBooks
Subjects

Abstract "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.
General noteA Chapman & Hall book
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Source of descriptionDescription based on print version record and CIP data provided by publisher.
Issued in other formPrint version: Mickens, Ronald E., 1943- Mathematical modeling with differential equations First edtion. Boca Raton : CRC Press, Taylor & Francis Group, 2022 9781032014456
Genre/formElectronic books.
LCCN 2021056612
ISBN9781003178972 (ebook)
ISBN(hardback)
ISBN(paperback)

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