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Mathematical modeling with differential equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical modeling with differential equations /Ronald E. Mickens, Clark Atlanta University, USA.
作者:	Mickens, Ronald E.,
出版者:	Boca Raton :CRC Press, Taylor & Francis Group,2022.
面頁冊數:	xiv, 269 p. :ill. ;27 cm.
附註:	"A Chapman & Hall Book" -- from cover.
標題:	Differential equations.
ISBN:	9781032014456 (hbk.) :

Mathematical modeling with differential equations /
Mickens, Ronald E.,1943-

Mathematical modeling with differential equations /Ronald E. Mickens, Clark Atlanta University, USA. - Boca Raton :CRC Press, Taylor & Francis Group,2022. - xiv, 269 p. :ill. ;27 cm.

"A Chapman & Hall Book" -- from cover.

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"--

ISBN: 9781032014456 (hbk.) :NT$3072

LCCN: 2021056611Subjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371 / .M4725 2022

Dewey Class. No.: 515/.35015118

Mathematical modeling with differential equations /
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008 240807s2022 flua b 001 0 eng
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020 $a 9781032014456 (hbk.) : $c NT$3072
020 $a 1032014458 (hbk.)
020 $a 9781032015309 (pbk.)
020 $a 1032015306 (pbk.)
020 $z 9781003178972 (ebook)
035 $a (OCoLC)1302330971
035 $a on1302330971
040 $a DLC $b eng $c DLC $d OCLCO $d UKMGB $d OCLCF $d YDX
042 $a pcc
050 0 0 $a QA371 $b .M4725 2022
082 0 0 $a 515/.35015118 $2 23/eng20220301
100 1 $a Mickens, Ronald E., $d 1943- $3 185957
245 1 0 $a Mathematical modeling with differential equations / $c Ronald E. Mickens, Clark Atlanta University, USA.
260 $a Boca Raton : $b CRC Press, Taylor & Francis Group, $c 2022.
300 $a xiv, 269 p. : $b ill. ; $c 27 cm.
500 $a "A Chapman & Hall Book" -- from cover.
504 $a Includes bibliographical references and index.
520 $a "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"-- $c Provided by publisher.
650 0 $a Differential equations. $3 183925
650 0 $a Mathematical models. $3 182479
650 0 $a Mathematical analysis. $3 186133