Springer Undergraduate Mathematics Series: Continuous Systems and Differential Equations

Witelski, Thomas; Bowen, Mark

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.

Details

Published by: Springer

Publication Date: 2015-09-28

Format: Paperback

ISBN-13: 9783319230412

DOI: 10.1007/978-3-319-23042-9

Dimensions: 235cm x155cm

Pages: 305