07-11-2017, 12:15 PM
Engineering mathematics (also called Technomathematics) is a branch of applied mathematics that refers to mathematical methods and techniques that are generally used in engineering and industry. Along with fields such as engineering physics and engineering geology (both can belong to the broader category of engineering science), mathematical engineering is an interdisciplinary subject driven by the needs of engineers for both practical, theoretical and practical considerations. another type outside of their specialization, as to deal with restrictions to be effective in their work.
Historically technical mathematics consisted mainly of applied analysis especially: differential equations; real and complex analysis (including analysis of vectors and tensors); approach theory (widely interpreted, to include asymptotic, variational and perturbative methods, representations, numerical analysis); Fourier analysis; potential theory; as well as the linear algebra and the applied probability, outside the analysis. These areas of mathematics were intimately linked to the development of Newtonian physics and the mathematical physics of that period. This story also left a legacy: until the early twentieth century, subjects such as classical mechanics were often taught in applied mathematics departments at American universities, and fluid mechanics can still be taught in applied mathematics and engineering departments.
The success of modern numerical methods and software has led to the emergence of computational mathematics, computational science and computational engineering (the latter two are sometimes grouped together and abbreviated as CS & E), which occasionally use high-performance computing for the simulation of phenomena and the solution of problems in science and engineering. They are often considered interdisciplinary fields, but they are also of interest for engineering mathematics.