Methods of mathematical modelling : continuous systems and differential equations /

Methods of mathematical modelling : continuous systems and differential equations /

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Bibliographic Details
Author / Creator:Witelski, Thomas, author.
Imprint:Cham : Springer, 2015.
Description:1 online resource (xviii, 305 pages) : illustrations (some color).
Language:English
Series:Springer undergraduate mathematics series, 1615-2085
Springer undergraduate mathematics series,
Subject:
Mathematical models.
Mathematical models.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11096330
Hidden Bibliographic Details
Other authors / contributors:Bowen, Mark, author.
ISBN:9783319230429
3319230425
3319230417
9783319230412
9783319230412
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed September 25, 2015).
Summary:This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.
Other form:Printed edition: 9783319230412
Standard no.:10.1007/978-3-319-23042-9

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