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Engineering mathematics 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.^[2]

Specialized branches include engineering optimization and engineering statistics.

Engineering mathematics in tertiary education typically consists of mathematical methods and models courses.

References

^ Stolz, Michael (2002), "The History Of Applied Mathematics AndSociety" (PDF), Synthese, 133 (1): 43–57, doi:10.1023/A:1020823608217, retrieved 2009-07-07
^ T.J. Fairclough, Engineering Mathematics and Computer Algebra.

[Stolz2002-1] Stolz, Michael (2002), "The History Of Applied Mathematics AndSociety" (PDF), Synthese, 133 (1): 43–57, doi:10.1023/A:1020823608217, retrieved 2009-07-07

[2] T.J. Fairclough, Engineering Mathematics and Computer Algebra.

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[2]

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-'''Engineering mathematics''' (also called Technomathematics) is a branch of [[applied mathematics]] concerning [[mathematical models|mathematical methods and techniques]] that are typically used in [[engineering]] and [[manufacturing|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.
+'''Engineering mathematics''' is a branch of [[applied mathematics]] concerning [[mathematical models|mathematical methods and techniques]] that are typically used in [[engineering]] and [[manufacturing|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, Technomathematics consisted mostly of [[Mathematical analysis|applied analysis]], most notably: [[differential equations]]; [[real analysis|real]] and [[complex analysis]] (including [[vector analysis|vector]] and [[tensor analysis]]); [[approximation theory]] (broadly construed, to include  [[asymptotic analysis|asymptotic]], [[Calculus of variations|variational]], and [[perturbation theory|perturbative methods]], [[Representation (mathematics)|representation]]s, [[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.<ref name=Stolz2002>{{Citation
+Historically, engineering mathematics consisted mostly of [[Mathematical analysis|applied analysis]], most notably: [[differential equations]]; [[real analysis|real]] and [[complex analysis]] (including [[vector analysis|vector]] and [[tensor analysis]]); [[approximation theory]] (broadly construed, to include  [[asymptotic analysis|asymptotic]], [[Calculus of variations|variational]], and [[perturbation theory|perturbative methods]], [[Representation (mathematics)|representation]]s, [[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.<ref name=Stolz2002>{{Citation
  | title = The History Of Applied Mathematics AndSociety
  | url = http://www.springerlink.com/index/T152575218M865W4.pdf
@@ Line 19: / Line 19: @@
 Specialized branches include [[engineering optimization]] and [[engineering statistics]].
+Engineering mathematics in [[tertiary education]] typically consists of mathematical methods and models courses.
-==Education==
-Engineering mathematics at [[Tertiary education|tertiary level]] typically consists of mathematical methods and models courses, and books on the topic are extremely popular.  For example, "Engineering Mathematics: YouTube Workbook" <ref name=EM>{{Citation
- | title = Engineering Mathematics: YouTube Workbook
- | url = http://bookboon.com/en/engineering-mathematics-youtube-workbook-ebook
- | year = 2012
- | author = Tisdell, Christopher
- | journal =
- | pages =
- | volume =
- | issue =
- | accessdate = 2014-02-11
- | doi =
-}}</ref>
-received over 300,000 downloads in 2012, making it the most popular title on Bookboon.com.<ref name="BB">{{cite web | url=http://bookboon.com/blog/2013/06/global-educator-chris-tisdell-why-free-textbooks-and-videos-are-the-key-to-future-learning/ | title=Global educator Chris Tisdell: Why free textbooks and videos are the key to future learning | publisher=''Bookboon's Blog'' | date=June 6, 2013 | accessdate=February 11, 2014}}</ref>
-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.<ref>[https://www.google.com/search?q=enginering+mathemtcs&btnG=Search+Books&tbm=bks&tbo=1#tbm=bks&sclient=psy-ab&q=engineering+mathematics&oq=engineering+mathematics&gs_l=serp.12...0.0.0.20158.0.0.0.0.0.0.0.0..0.0...0.0...1c..12.psy-ab.0uhyJlaVjT4&pbx=1&bav=on.2,or.r_qf.&bvm=bv.46471029,d.d2k&fp=d09e9696d9397ddb&biw=1366&bih=593 Google Books search for "engineering mathematics"]. Recovered 14 May 2013.</ref><ref>[https://www.amazon.com/gp/search/ref=a9_asi_1?rh=i%3Astripbooks%2Cn%3A283155%2Ck%3Aengineering+mathematics&keywords=engineering+mathematics&ie=UTF8&qid=1368571194#/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=engineering+mathematics&rh=i%3Aaps%2Ck%3Aengineering+mathematics Amazon book search for "engineering mathematics"]. Recovered 29 June 2013. ''Disclaimer: this search may contain some irrelevant results.''</ref> However, there is some dissension to this viewpoint as to whether or not this is all that constitutes the subject.<ref>Imagining Archimedes blog: [http://imaginingarchimedes.blogspot.co.uk/2012/08/wht-engineering-mathematics-is-not.html Why Engineering Mathematics is not a "service" subject]. Saturday, August 11, 2012. Recovered 14 May 2013.</ref>
 ==See also==
-* [[Techno-mathematics|Techno-]] and [[industrial mathematics]], similar fields
+* [[industrial mathematics]]
 * [[Control theory]], a mathematical discipline concerned with engineering
 * [[Further mathematics]] and [[additional mathematics]], [[A-level]] mathematics courses with similar content
@@ Line 44: / Line 29: @@
 ==References==
 <references/>
-* [http://www.whatuni.com/degrees/courses/Degree-list/Engineering-Mathematics-Degree-courses-UK/qualification/M/search_category/8850/loc.html Engineering Mathematics Degree Courses UK;] list of engineering mathematics courses in the United Kingdom. Whatuni.com website, accessed 9 Dec 2012.
-==External links==
-* [http://www.enm.bris.ac.uk/ Dept. of Engineering Mathematics] at [[Bristol University]].
-* [http://www.efunda.com/math eFunda:Engineering Mathematics]  at [http://eFunda.com Engineering Fundamentals]
-* [http://www.plymouth.ac.uk/researchcover/rcp.asp?page=301&pagetype=G Industrial and Engineering Mathematics] research group at [[Plymouth University]]
-* [http://www.cs.kuleuven.be/MME/ Master in Mathematical Engineering] at [[KU Leuven]]
-=== Publications ===
-*Engineering Mathematics by KA Stroud
-*[https://www.springer.com/physics/classical+continuum+physics/journal/10665 Journal of Engineering Mathematics]
-*[http://ukcatalogue.oup.com/category/academic/series/mathematics/otaem.do Oxford Texts in Applied and Engineering Mathematics Series]
-*[http://scik.org/index.php/eml Engineering Mathematics Letters]
-* [http://www.hindawi.com/journals/ijem/ International Journal of Engineering Mathematics]
-* [http://jaem.isikun.edu.tr/ TWMS Journal of Applied and Engineering Mathematics (JAEM)]
 [[Category:Applied mathematics]]