Template talk:Industrial and applied mathematics

Welcome!

Created a decision sciences subgroup

I organized the following decision sciences subgroup, with these entries: Statistics • Operations research • Optimization • Game theory •Mathematical economics • Mathematical Finance

In doing this, I changed Financial mathematics to Mathematical finance.

Thanks! Kiefer.Wolfowitz (talk) 19:46, 12 January 2010 (UTC)[reply]

Mathematical Physics expanded

The International Mathematical Union sponsored Mathematics Unlimited for the millenium. Following Mathematics Unlimited, I added some topics that should bring the template closer to contemporary applicable mathematics, especially by adding ideas that have led to breakthroughs in science and re-conceptualized mathematics. See recent popular articles by Atiyah, Manin, etc.

Notice that algebra has an expanded role, reflecting the change in research articles in the last 40 years. (In the USA, The AMS Notices have tracked an expanding proportion of algebraic theses, for example.) Kiefer.Wolfowitz (talk) 21:09, 17 January 2010 (UTC)[reply]

Remove Chaos

Chaos is covered by Dynamic systems, so I'll remove it. Kiefer.Wolfowitz (talk) 16:36, 26 February 2010 (UTC)[reply]

Principles

It would be good to cover the principles of applied mathematics besides the fields of applied mathematics.

I would suggest topics under Mathematical modeling like:

Model formulation: dimensional analysis and Scale analysis (mathematics), linearization, parameterization, functional form or functional equation
Design of experiments and Planning of observational studies
Hypothesis testing or Model validation
Expansion of models: Scalar to vector, Static to Dynamic, from Deterministic to Stochastic, etc.

Thanks Kiefer.Wolfowitz (talk) 16:47, 26 February 2010 (UTC)[reply]

See Pure Mathematics footer

Applied-Mathematics editors may be interested in my proposal of a similar footer for pure mathematics. I also suggest that a footer for Basic mathematics be created. Thanks Kiefer.Wolfowitz (talk) 17:18, 18 March 2010 (UTC)[reply]

Theoretical Computer Science

There has been a discussion on the talk page for the "P versus NP problem" article. There appears to be a consensus there that Theoretical Computer Science is not in Applied Mathematics. With this in mind, I propose that the template be modified. Jwesley₇₈ 17:23, 18 March 2010 (UTC)[reply]

Your portrayal of consensus should be qualified. There was a lot of support for the truth that theoretical CS overlapps with applied mathematics (in the modern sense). What people object to is a suggestion that CS theory is a subset of (British traditional) "applied mathematics". Don't you agree?Kiefer.Wolfowitz (talk) 19:48, 18 March 2010 (UTC)[reply]

I started this discussion on Wikipedia talk:WikiProject Mathematics#Theoretical Computer Science. That page would likely be the best venue for this discussion. Jwesley₇₈ 18:13, 18 March 2010 (UTC)[reply]

Thanks for your comments: I shall look at the discussion referenced. Indeed, Theoretical CS is not a subivision of applied mathematics: however, there is a lot of overlap, and "theoretical CS" provides some coherence to research in the sub-listings. Will you suggest a better name for this grouping of activities, please, recognizing that no name is perfect? Thanks, Kiefer.Wolfowitz (talk) 18:53, 18 March 2010 (UTC)[reply]

I am confused by the multiple discussions. Thanks. Kiefer.Wolfowitz (talk) 19:36, 18 March 2010 (UTC)[reply]

Me too. I'll put my future comments on the Project Math talk page. Jwesley₇₈ 20:18, 18 March 2010 (UTC)[reply]

The clear majority of those topics are well established theoretical computer science topics. Bring RS to support change please. Verbal chat 20:47, 18 March 2010 (UTC)[reply]

Also, has the Computer Science WikiProject been notified of this discussion? Verbal chat 20:48, 18 March 2010 (UTC)[reply]

Good point. I'll add a section for it. Jwesley₇₈ 20:50, 18 March 2010 (UTC)[reply]

Purpose: Modern applicable mathematics not just British "applied maths"

As stated previously, this footer covers more than so-called "Applied Mathematics" in the British tradition. This footer attempts to represent the living areas of applied (applicable) mathematics, especially those that are vitally connected with (empirical) science, industrial applications, and computing. The old usage of "Applied Mathematics" was long ago dropped by SIAM and the mathematics community --- as represented by the International Mathematics Union's Mathematics Unlimited project

Engquist, Björn (ed.) (2001). Mathematics Unlimited: 2001 and Beyond. Berlin: Springer. p. 1225. ISBN 9783540669135. {{cite book}}: |first= has generic name (help); Unknown parameter |coauthors= ignored (|author= suggested) (help)

The President of the IMU today is Lovasz, which suggests that theoretical CS has a lot to do with mathematics, imho. Kiefer.Wolfowitz (talk) 19:53, 18 March 2010 (UTC)[reply]

Regardless of whether it means applicable mathematics or applied mathematics, I don't see what discrete mathematics is doing on the list. Yes, there are applications to e.g. cryptography, but the existence of applications doesn't make number theory qua number theory any less impure. Similarly discrete geometry, combinatorics, and graph theory are all commonly studied as pure mathematics subjects, divorced from applications, despite having some. I don't think they should be included in the footer, unless we want to include all of mathematics in the footer. —David Eppstein (talk) 20:39, 18 March 2010 (UTC)[reply]

The content of "discrete mathematics" in the header was my attempt to survey the articles in the related SIAM journals and the usual courses in mathematics for CS.

David, you raise 2 issues.

First, I separated the topics of "discrete mathematics" from the Theoretical Computer Science/Computational mathematics group because they are pursued for their own sake and because they are significant in applications & computations.

Second, are you objecting to an implication that "discrete mathematics is studied exclusively or even mostly for applications". Regardless of its truth, that implication would be unwarranted from this header. Would you suggest improvements?

Kiefer.Wolfowitz (talk) 21:11, 18 March 2010 (UTC)[reply]

I strongly object to giving British tradition separate weight. Applied mathematicians were not all British, far from it, and British applied math should not have more weight than say German tradition in applied mathematics, or Russian or Chineese. This sort of nationalism is leading nowhere. Mathematics (pure or applied) CS or science of any sort is essentially cosmopolitan and particular national traditions, while clearly distinct, should not be singled out to give impression that other contributions to the field are less worthy.

Also, discrete mathematics is certainly part of mathematics (with applied flavor), and in particular Hungarian school is one of the more important there (Erdos, Laslo Lovasz); graph theory is as much applied mathematics as say functional analysis with its application to quantum mechanics (fon Neuman, who also has contributions to theoretical computer science).Dlakavi (talk)

Proposed rename: Industrial and Applied Mathematics

"Applied mathematics" is often associated with the grand British tradition of "applied mathematics", which prized scientifically insightful results derived with analytic expansions (often used without safety belts!). (C.f. Hammersley "The Enfeeblement of Mathematical Skills by so-called Modern Mathematics and other soft intellectual trash taught in the schools and universities"). Does anybody object to our renaming the template? Kiefer.Wolfowitz (talk) 20:49, 18 March 2010 (UTC)[reply]

("Applicable" mathematics would be wrong on many grounds --- like category theory in programming language or number theory in cryptography.)

I implemented the name-change. Kiefer.Wolfowitz (talk) 20:53, 18 March 2010 (UTC) Alas, Industrial mathematics is linked to Applied mathematics. Kiefer.Wolfowitz (talk) 20:57, 18 March 2010 (UTC)[reply]

This was reverted. Please look at the long discussions and you will find that the people in theoretical computer science objected to being included on the "applied mathematics" footer (definitely in the narrow sense of British "applied mathematics"). I will redo the name-change and respectfully ask the editor kindly to respond to the theoretical CS comments before reverting again. Thanks Kiefer.Wolfowitz (talk) 21:17, 18 March 2010 (UTC)[reply]