Talk:Applied mathematics

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 Field: Applied mathematics
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Numerical Relativity[edit]

What the heck is that? I think I know what the author meant, that the computational relativistic mechanics might be applied, as oppose to relativity theory. I dont think it fits with the other headings. Can someone suggest an alternative, otherwise perhaps we should delete. Other than that the article is quite good, although I would argue that it is a stub. Billlion 13:18, 1 Sep 2004 (UTC)

Hmm. I wonder why these subdivisions of theoretical physics are even included. They really aren't directly related to the topic of applied mathematics (maybe in an applied physics article, or even engineering mathematics, but...). I don't think this article should become a list of "important subdivisions" of all the fields listed in the first paragraph, so I suggest we remove everything after "indistinguishable from theoretical physics.". - dcljr 20:28, 1 Sep 2004 (UTC)

There is a certain camp of applied mathematicians, perhaps mainly in certain universities in the UK, who think that Applied Mathematics consists only of mechanics and fluid dynamics, even some who think that asymptotic methods in fluid dynamics is the entirety of applied mathematics. Not sure how to treat that diplomatically. 21:12, 1 Sep 2004 (UTC)

Creative Mathematics[edit]

Creative Mathematics

Since the traditional Mathematics focus on the algorithm like that: Problem-->Find Mathematical Model-->Find Solution, the Key Algorithm for Creative Mathematics is: Problem-->Find Mathematical Model Using AI Techniques-->Find Solution.

Dr TAM Shu Ming

Practical application of mathematical logic[edit]

"at most a vanishingly small portion of mathematical logic could be called applied". The term "vanishingly small" is close to my heart. I was advised by a pure mathematician to refer to Hardy's Orders of infinity to complete the proof that my first Royal Society paper depended on, that led to the result that supported me for the next fifteen years. According to Wikipedia articles, the lambda calculus is part of mathematical logic. It is also at the heart of functional programming. Now the number of papers that use functional programming in scientific computing annually, divided by the total number of papers on scientific computing may be less than 10^-6, which could be considered vanishingly small. But if the functional programming work is supported by millions of dollars in research grants annually, or has led to hundreds of papers in prestigious peer reviewed journals, is "vanishingly small" an appropriate criterion for exclusion from mention of applicability to real world problems? Michael P. Barnett (talk) 00:59, 7 February 2011 (UTC)

Here, I am happy to agree with Mr. Barnett. The lambda calculus and LISP are the godparents of the statistical languages (and computing environments) S (programming language), S-PLUS, and R (programming language), which join Fortran, Matlab, and SAS/IML as the primary languages for statistical computing. The theory (and practice) of computer programming languages exemplifies the applicability of pure mathematics---category theory, lattice theory, type theory, etc.  Kiefer.Wolfowitz  (talk) 09:57, 7 February 2011 (UTC)
I beg to differ. That "vanishingly small" part of mathematical logic that has relevance to computing can hardly be called "applied". There is nothing applied about the lambda calculus - it is pure mathematics. This is the dilemma of computer science - it has no applied mathematics! It tries to take pure math and directly compute with it. That is why you can't really *calculate* anything useful in computer science, despite the profusion of so-called calculi like the lambda calculus, pi calculus, mu calculus, etc. They are all just axiomatic systems of pure math. They become useful only to the extent that computer scientists can prove useful properties, but you can't calculate a program with them. Now compare this with the situation in engineering where the differential calculus comes with a body of applied math that allows it to be used to calculate useful values for circuits, controllers, flows, etc. Houseofwealth (talk) 04:31, 21 February 2013 (UTC)

Article structure[edit]

I think some basic changes are probably needed in the sections before matters can move forward. The title "Divisions" looks a bit premature, given that we are discussing "scope" issues. Searching the Web for both "modern applied mathematics" and "traditional applied mathematics" is instructive, too. There is probably not too much disagreement on the scope of traditional applied mathematics; there certainly can be some debate on what modern applied mathematics might mean, both in terms of scope and whether we are talking about a methodology or an academic discipline. Charles Matthews (talk) 11:36, 7 February 2011 (UTC)

Hi Charles, you rightly highlight the overemphasis on the knowledge of classical applied mathematics, here, and neglect of the activity of mathematics in action (when a research mathematician wants to accomplish something).
I don't understand your comment, "matters ... move forward": Would you elaborate?
On a related note: The Mathematics page suffers from an abstract discussion of MCS2010-topics, without discussion of applications. Surely, some indication that Fourier/harmonic analysis had something to do with the physics of heat, or that functional analysis and operator theory have had close connections with quantum mechanics would be in order. That page suffers not only from purism but also from undue weight put on philosophical issues, imho. There are more editors on mathematics than here, and so it seems to me that we should first reform the mathematics article, before worrying about this page.  Kiefer.Wolfowitz 22:32, 10 May 2011 (UTC)
Regarding the structure of the article, I take issue with the economics section and think it needs a revamp. The section provides little description of AM research in that area, mostly just quoting classification schemes (e.g. MSC, JEL) and textbook literature. It also uses lots of bare urls as references. Applied mathematical economics does necessarily not have more weight (I think) than other fields e.g. actuarial mathematics. If the section stays (and it should) the content should be redirected to somewhere more germane to topic (so the information isn't wasted). (talk) 03:53, 4 December 2012 (UTC)

Matrix and Applied Mathematics[edit]

It's difficult to understand how does Matrix concepts are required to be in Applied Mathematics. When we talk about Matrix although it is said by Mathematical Norms. It is not by that and it is rather by discrete Mechanisms. And for Square Matrix, Determinant value is certain. But in order to arrive a Square Matrix and by Determinant, it is that hard that beyond billion times our science to advance, by that the values arrived will be certain provided there is no change in Context. Just to start with it spin-one aspects are to be understand before vulging and delve deeper into it. Lets start....

|x1 y1 1|

|x2 y2 1| = Δ = Area of Triangle

|x3 y3 1|

|x1 y1 z1|

|x2 y2 z2| = Δ = is also Area of Triangle

|x3 y3 z3|

But for the fact Z Plane is uncertain as it is said by Vector, Algebra, Modern Physics, Quantum Algorithms. Hence we have to say this value should be denoted by δ. Also we must be clear that Z Plane Analysis can't be done by Differentiation, Higher-Order Differentiation and not also by Calculus. This things fits only to Normal Physics where the results are irrational and closer to the value. This mechanics we adopt and adhere when we try to achieve results which are closer. We can say the Adoptable Physics. But to be certain, it is Vector, Algebra, Modern Physics, Quantum Algorithms.

Coming to the next level of Square Matrix.

|x1 y1 z1 1|

|x2 y2 z2 1|

|x3 y3 z3 1|

|x4 y4 z4 1| = δ - Area in Cubic Units for a Regular or Irregular Prism, i.e., Pyramid.

|x1 y1 z1 P1|

|x2 y2 z2 P2|

|x3 y3 z3 P3|

|x4 y4 z4 P4| = δ - Area in Cubic Units for a Regular or Irregular Prism, i.e., Pyramid.

So when we go higher and higher in dimension, there are Spin-One Factor, that yields out the certainty principles. That spin-one context {v1,v2,v3,v4,v5..,} may be taken in Modern Algebra, when we really want to achieve some uncertain things in a controlled way. And it is just a point that Spin-One Aspect may occur anywhere within Matrix. When we taken it for calculation Row or Column alignment to be done in accordance with this set of 1's. And we redeem certain 1's and postulate the Matrix, we can make the scenario vulged as required.

Dev Anand Sadasivamt@lk 11:48, 11 June 2015 (UTC)