Practical Applied Mathematics: Modelling, Analysis, ApproximationCambridge University Press, 24. mar. 2005 - 326 síður Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader's grasp of the material. Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader's knowledge can be used to describe the world around them. |
Efni
1 | 11 |
3 | 21 |
2 | 52 |
7 | 81 |
5 | 94 |
traffic modelling | 104 |
9 | 114 |
5 | 121 |
electrostatic painting 2 | 200 |
Boundary layers | 216 |
the thermistor 2 | 235 |
continuous casting of steel | 255 |
Lubrication theory for fluids | 263 |
turning of eggs during incubation | 285 |
Multiple scales and other methods for nonlinear oscillators | 292 |
Ray theory and the WKB method | 303 |
Theory of distributions | 140 |
the pantograph | 157 |
Asymptotic expansions | 173 |
References | 318 |
Aðrar útgáfur - View all
Practical Applied Mathematics: Modelling, Analysis, Approximation Sam Howison Engin sýnishorn í boði - 2005 |
Common terms and phrases
a²T a²u a²y analysis approximation balance boundary conditions boundary layer cable calculate Chapter characteristic projections coefficient conformal maps conservation Consider constant curve cylinder Deduce delta function density derivative dimensional dimensionless dimensionless parameter dimensions displacement distribution eigenvalue example Exercise Figure Fourier Fredholm Alternative frequency Green's function heat equation heat flow inner expansion integral kinematic kinematic wave leading-order linear look mass matching mathematical motion normal Note ordinary differential equation oscillations outer expansion pantograph partial differential equation particles physical potential pressure Rankine-Hugoniot rays region regular expansion Reynolds number right-hand side satisfies scale solution solve speed string Suppose surface t₁ Taylor series temperature test functions theorem theory thermistor thin timescale unit value problem variables velocity wave equation write yolk zero ах др ду дх Эф მა მი