株式会社極東書店トップ商品一覧Methods of Mathematical Modelling : Continuous Systems and Differential Equations. 1st ed. 2015.

商品詳細

Methods of Mathematical Modelling

Methods of Mathematical Modelling : Continuous Systems and Differential Equations. 1st ed. 2015.

・ISBN 978-3-319-23041-2 paper EUR 34.99

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お気に入り
著者・編者Witelski, Thomas / Bowen, Mark,
シリーズSpringer Undergraduate Mathematics Series
出版社(Springer International Publishing AG, SZ)
出版年月2015
ページ数305 pp.
言語ENG
ニュース番号<M25-21872>

解説

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.