Witelski, Thomas <br/><br/>
Methods of mathematical modelling: continuous systems and differential equations 

 - Cham, Switzerland:  Springer,  2015. 
 - xviii, 305 p.;  pb;  24 cm. 
 - Springer undergraduate mathematics series .
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9783319230412 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Calculus of variation & Optimal Control<br/>Continuous Groups<br/>Differential Equation<br/>Mathematical Application in the Physical Science<br/>Mathematical Optimization<br/>Mathematical Modelling
<br/><br/><label>Dewey Class. No.: </label>515.352  / WIT