Engineering Mathematics is a branch ofapplied mathematics, concerningmathematical methods and techniques that are typically used inengineering andindustry. Along with fields likeengineering physics andengineering geology, both of which may belong in the wider categoryengineering science, engineering mathematics is aninterdisciplinary subject motivated by engineers' needs both forpractical,theoretical and other considerations outside their specialization, and to deal with constraints to be effective in their work.
Historically, engineering mathematics consisted mostly ofapplied analysis, most notably:differential equations;real andcomplex analysis (includingvector andtensor analysis);approximation theory (broadly construed, to includeasymptotic,variational, andperturbative methods,representations,numerical analysis);Fourier analysis;potential theory; as well aslinear algebra and appliedprobability, outside of analysis. These areas of mathematics were intimately tied to the development ofNewtonian physics, and themathematical physics of that period. This history also left a legacy: until the early 20th century subjects such asclassical mechanics were often taught in applied mathematics departments at American universities, andfluid mechanics may still be taught in (applied) mathematics as well as engineering departments.[1]
The success of modern numerical computer methods and software has led to the emergence ofcomputational mathematics,computational science, andcomputational engineering (the last two are sometimes lumped together and abbreviated asCS&E), which occasionally usehigh-performance computing for thesimulation of phenomena and the solution of problems in the sciences and engineering. These are often considered interdisciplinary fields, but are also of interest to engineering mathematics.[2]
Specialized branches includeengineering optimization andengineering statistics.
Engineering mathematics intertiary education typically consists of mathematical methods and models courses.[3]
| Specialties and interdisciplinarity |
|  | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Engineering education | ||||||||||||||
| Related topics | ||||||||||||||
| Glossaries | ||||||||||||||
| Other | ||||||||||||||
