# Engineering mathematics

Engineering mathematics (also called Mathematical Engineering) is a branch of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry. Along with fields like engineering physics and engineering geology (both of which may belong in the wider category engineering science), engineering mathematics is an interdisciplinary subject motivated by engineers' needs both for practical, theoretical and other considerations outwith their specialization, and to deal with constraints to be effective in their work.

## Description

Historically, engineering mathematics consisted mostly of applied analysis, most notably: differential equations; real and complex analysis (including vector and tensor analysis); approximation theory (broadly construed, to include asymptotic, variational, and perturbative methods, representations, numerical analysis); Fourier analysis; potential theory; as well as linear algebra and applied probability, outside of analysis. These areas of mathematics were intimately tied to the development of Newtonian physics, and the mathematical physics of that period. This history also left a legacy: until the early 20th century subjects such as classical mechanics were often taught in applied mathematics departments at American universities, and fluid 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 of computational mathematics, computational science, and computational engineering (the last two are sometimes lumped together and abbreviated as CS&E), which occasionally use high-performance computing for the simulation 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.

Specialized branches include engineering optimization and engineering statistics.

## Education

Engineering mathematics at tertiary level typically consists of mathematical methods and models courses, and books on the topic are extremely popular. For example, "Engineering Mathematics: YouTube Workbook" [2] received over 300,000 downloads in 2012, making it the most popular title on Bookboon.com. [3]

In the English-speaking world, "Engineering mathematics" (or some variant thereof) is the name of several bestselling university textbooks on the subject. In 2013, a search for books containing the phrase 'engineering mathematics' on amazon.com and Google Books, produced more than 192,729 and 457,000 items respectively.[4][5] However there is some dissension to this viewpoint as to whether or not this is all that constitutes the subject.[6]