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Thread: Applied Maths?

  1. #1
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    Question Applied Maths?

    I heard this today and i wondered, what the hell is applied maths? Isnt all maths applied to something? Whats unapplied maths? Maths that you do and it useful for nothing? Thanks for listening or should i say reading.

    I applied my maths to my arse,
    Westside.

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    Applied mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains.

    Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational methods, and numerical analysis); and applied probability. These areas of mathematics were intimately tied to the development of Newtonian physics, and in fact the distinction between mathematicians and physicists was not sharply drawn before the mid-19th century. This history left a legacy as well: until the early 20th century subjects such as classical mechanics were often taught in applied mathematics departments at American universities rather than in physics departments, and fluid mechanics may still be taught in applied mathematics departments.[1] As well as physics, engineering and computer science have traditionally made use of applied mathematics.

    Today, the term applied mathematics is used in a broader sense. It includes the classical areas above, as well as other areas that have become increasingly important in applications. Even fields such as number theory that are part of pure mathematics are now important in applications (such as cryptography), though they are not generally considered to be part of the field of applied mathematics per se. Sometimes the term applicable mathematics is used to distinguish between the traditional applied mathematics that developed alongside physics and the many areas of mathematics that are applicable to real-world problems today.

    Many mathematicians distinguish between applied mathematics, which is concerned with mathematical methods, and the applications of mathematics within science and engineering. A biologist using a population model and applying known mathematics would not be doing applied mathematics, but rather using it; however mathematical biologists have posed problems that have stimulated the growth of pure mathematics. However, mathematicians like Poincaré and Arnold deny the existence of "applied mathematics" and claim that there are only "applications of mathematics"; similarly, nonmathematicians blend applied mathematics and applications of mathematics. The use and development of mathematics to solve industrial problems is also called industrial mathematics.[2]

    The success of modern numerical mathematical methods and software has led to the emergence of computational mathematics, computational science, and computational engineering, which use high performance computing for the simulation of phenomena and the solution of problems in the sciences and engineering. These are often considered interdisciplinary disciplines.


    Simples...............
    "It's far easier to fight for principles than to live up to them."
    L

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    Quote Originally Posted by luther View Post
    Applied mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains.

    Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational methods, and numerical analysis); and applied probability. These areas of mathematics were intimately tied to the development of Newtonian physics, and in fact the distinction between mathematicians and physicists was not sharply drawn before the mid-19th century. This history left a legacy as well: until the early 20th century subjects such as classical mechanics were often taught in applied mathematics departments at American universities rather than in physics departments, and fluid mechanics may still be taught in applied mathematics departments.[1] As well as physics, engineering and computer science have traditionally made use of applied mathematics.

    Today, the term applied mathematics is used in a broader sense. It includes the classical areas above, as well as other areas that have become increasingly important in applications. Even fields such as number theory that are part of pure mathematics are now important in applications (such as cryptography), though they are not generally considered to be part of the field of applied mathematics per se. Sometimes the term applicable mathematics is used to distinguish between the traditional applied mathematics that developed alongside physics and the many areas of mathematics that are applicable to real-world problems today.

    Many mathematicians distinguish between applied mathematics, which is concerned with mathematical methods, and the applications of mathematics within science and engineering. A biologist using a population model and applying known mathematics would not be doing applied mathematics, but rather using it; however mathematical biologists have posed problems that have stimulated the growth of pure mathematics. However, mathematicians like Poincaré and Arnold deny the existence of "applied mathematics" and claim that there are only "applications of mathematics"; similarly, nonmathematicians blend applied mathematics and applications of mathematics. The use and development of mathematics to solve industrial problems is also called industrial mathematics.[2]

    The success of modern numerical mathematical methods and software has led to the emergence of computational mathematics, computational science, and computational engineering, which use high performance computing for the simulation of phenomena and the solution of problems in the sciences and engineering. These are often considered interdisciplinary disciplines.


    Simples...............
    Sounds like the ideal sleeping aid.
    Westside.

  4. #4
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    Applied Maths is maths that is put to direct practical use. General maths doesn't have to be put to direct practical use (or ever to be put to any use in fact). You would for example learn calculus in general maths first and then put it to use in applied maths. Also, things like statistics, proabability and group theory wouldn't ever really be considered applied maths.... so it's more an idiomatic category of maths than exactly "maths that is applied".

  5. The Following User Says Thank You to nicegirlsarenice For This Useful Post:

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    Quote Originally Posted by Westsidex View Post
    Sounds like the ideal sleeping aid.
    Westside.
    There's a formula to work that out...........

    But you need to be able to user applied maths to get the answer..........

    I'll give you the quick answer.........

    Yes............
    "It's far easier to fight for principles than to live up to them."
    L

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    We all can't be geniuses, didn't they bring out a new grade for those that couldn't cut pass maths, sort of like a cut down version so as to give them some chance of a decent grade rather than a fail.

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    Quote Originally Posted by luther View Post
    Applied mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains.

    Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational methods, and numerical analysis); and applied probability. These areas of mathematics were intimately tied to the development of Newtonian physics, and in fact the distinction between mathematicians and physicists was not sharply drawn before the mid-19th century. This history left a legacy as well: until the early 20th century subjects such as classical mechanics were often taught in applied mathematics departments at American universities rather than in physics departments, and fluid mechanics may still be taught in applied mathematics departments.[1] As well as physics, engineering and computer science have traditionally made use of applied mathematics.

    Today, the term applied mathematics is used in a broader sense. It includes the classical areas above, as well as other areas that have become increasingly important in applications. Even fields such as number theory that are part of pure mathematics are now important in applications (such as cryptography), though they are not generally considered to be part of the field of applied mathematics per se. Sometimes the term applicable mathematics is used to distinguish between the traditional applied mathematics that developed alongside physics and the many areas of mathematics that are applicable to real-world problems today.

    Many mathematicians distinguish between applied mathematics, which is concerned with mathematical methods, and the applications of mathematics within science and engineering. A biologist using a population model and applying known mathematics would not be doing applied mathematics, but rather using it; however mathematical biologists have posed problems that have stimulated the growth of pure mathematics. However, mathematicians like Poincaré and Arnold deny the existence of "applied mathematics" and claim that there are only "applications of mathematics"; similarly, nonmathematicians blend applied mathematics and applications of mathematics. The use and development of mathematics to solve industrial problems is also called industrial mathematics.[2]

    The success of modern numerical mathematical methods and software has led to the emergence of computational mathematics, computational science, and computational engineering, which use high performance computing for the simulation of phenomena and the solution of problems in the sciences and engineering. These are often considered interdisciplinary disciplines.


    Simples...............

    Ohhhh, Luther, your knowledge in ...................WIKIPEDIA is amazing

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    Quote Originally Posted by nicegirlsarenice View Post
    Applied Maths is maths that is put to direct practical use.
    So is 2+2=4 applied maths???
    "It's far easier to fight for principles than to live up to them."
    L

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    Quote Originally Posted by Sensual Delights View Post
    Ohhhh, Luther, your knowledge in ...................WIKIPEDIA is amazing
    Sssshhhhhh.....................
    "It's far easier to fight for principles than to live up to them."
    L

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    Quote Originally Posted by luther View Post
    Sssshhhhhh.....................
    I didn't say a thing, I was just whistling

    Click image for larger version. 

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    Last edited by Sensual Delights; 03-09-10 at 19:43.

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