Click Here to Download: https://ouo.io/X4P5SI Methods of Mathematical Modelling Continuous Systems and Differential Equations By: Thomas Witelski; Mark Bowen Publisher: Springer Print ISBN: 9783319230412, 3319230417 eText ISBN: 9783319230429, 3319230425 Copyright year: 2015 Format: PDF Available from $ 27.00 USD SKU 9783319230429R180 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. Additional ISBNs 978-3-319-23042-9
