What is Applied mathematics: Definition and 101 Discussions

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models.
In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics.

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  1. H

    Question of value B.S. Applied Mathematics to Engineering?

    Due to personal life issues and limitations, I've been seeking other options for my B.S. and came upon Applied Mathematics. What I've been on the fence about for a while now has been which Engineering degree to pursue be it Material Science, Mechanical, or Aerospace. However, it has been...
  2. F

    Applied Mathematics vs Computational Finance

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  3. M

    Math How to apply for a job in Industry with a degree in Applied mathematics?

    For Academia jobs, I used www.mathjobs.org, and it's quite good. I will have a degree in Applied-Mathematics (Numerical Optimization and Operation research). I am trying to apply for Industry jobs. However I am not sure how or where to apply. I heard the application process can be quite...
  4. C

    The fields of applied mathematics

    What kind of mathematical disciplines/fields take part in what's called "applied mathematics"? As far as I know, it's Differential Equations, Calculus, Statistics and Linear Algebra. What other fields are there? I'm sure there are some others.
  5. B

    Theorem in applied mathematics that relies on the axiom of choice

    Hi there, Im looking for a theorem that relies on the axiom of choice, but is used in applied mathematics (economics, physics, biology, whatever). In other words a mathematical theory we use to say something about the real world. This is because I'm wondering if discarding the axiom of...
  6. D

    Programs Where should I apply? PhD in Applied Mathematics

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  7. N

    Applied Mathematics or Mathematics ?

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  8. E

    Math Applied Mathematics major looking for internship (needs help?)

    I am currently seeking for any open internships. So, I decided to Google search what I could find in my area, and I found an engineering internship. Would this apply to me (I'll tell you more...)? Here is the description of the engineering internship (it's very vague): I have not took a...
  9. D

    Schools Applied mathematics vs. pure mathematics in high school?

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  10. J

    Classes preparing for Applied Mathematics

    Hello, I'm a high school student with a preference for math. I want to go into applied mathematics. I have gone through AP Stats and Calc BC, as well as Multivariable Calc and Linear Algebra, also APC/IBHL Physics. I have original research done in biostatistics/bioinformatics and in...
  11. B

    Math Is applied mathematics proof-based?

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  12. A

    Math General Mathematics vs Applied Mathematics vs Statistics degree. Differences?

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  13. S

    Math Jobs for those with a masters/phd in Applied Mathematics

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  14. P

    The hottest topics in applied mathematics?

    What are the hottest topics in applied mathematics nowadays?
  15. MathWarrior

    Where to specalize in Applied Mathematics?

    I am currently enrolled to become a Applied Mathematics major, the school I will be going to has a relatively small number of classes for upper division math so I am thinking I should try and specialize in something. Even though their is a limited amount of courses to choose from being as the...
  16. D

    Is an applied mathematics major marketable for a job?

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  17. K

    Applied Mathematics Curriculum

    Hello all, I *finally* have my studies decided for the next 2.5 years, and I am looking for some advice from either applied mathematicians or those who work in a related field (content specialization does not matter). I'm entering into a graduate mathematics program (officially Fall 2012...
  18. E

    Math How marketable is a BS in Applied Mathematics degree?

    Out of curiosity, what jobs could someone with a BS in applied mathematics apply for with a reasonable chance of getting? Additional skillsets would be programming... Thank you!
  19. T

    Applied mathematics, electrical engineering, or both

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  20. T

    Applied mathematics, electrical engineering, or both?

    I'm starting my second year at school, and knowing that I will have to declare my major soon I'm torn between the possible choices. Officially, I am in the engineering program but I took a lot of extra credits in math last year since it interests me so doing the double major program in...
  21. B

    Courses Recommended non-math courses for applied Mathematics?

    Hello everyone. I am going to be majoring in applied math. Outside the math courses, I would like to know the recommended courses to take that will be of interest to an applied mathematician. From fields like computer science, physics, engineering, and the like..
  22. T

    Math Should I continue in physics or go to applied mathematics?

    I just finished the 1st year of physics licenciate (equivalent to bachelor's). I came to physics only with the intent to be a researcher in physics, I never even considered other jobs physics allowed to have. But I always knew the only thing I liked about physics was the mathematical theory, its...
  23. Y

    Math M.S in Applied Mathematics vs M.S in Statistics?

    I'm a Chemistry major with Math minor. After graduation I want to work for a few years and go to grad school for a career change. Throughout my undergrad years I somehow lost interest in Chemistry and now like Math a lot better (courses such as Differential Eq, PDE). First thing that came to my...
  24. V

    Math Deciding Between Math/Applied Sciences & Applied Mathematics Majors

    So I am transferring to a university within a year, and I don't know which math major to choose. It is either Math/Applied Sciences or Applied Mathematics. What I want to do with my major is go into medical research, but I also want to go to grad. school and get my masters (I can not go to grad...
  25. T

    Best Language for Applied Mathematics

    I am currently in graduate school and I work on modeling. The systems I model rely heavily on stiff ODE solvers (i.e. ode15s in MATLAB) and non-linear solvers as well for solving non-linear reaction and diffusion equations. So far I have typically used MATLAB for my work, but I feel like...
  26. Jadaav

    How to learn Applied Mathematics?

    Hi guys, How can i learn Applied Maths? I need to know from where i need to start to learn it. I don't know anything about it. And if there is any other things i need to learn please tell me.
  27. P

    Finding the Magnitude of Velocity v in Applied Mathematics

    Given that a particle P in space would have position vector r(t)= xi + yj + zk,we can find its velocity v(t) by determining dy/dx of r(t) and even go further to computing the speed v given by the magnitude of v(t). With that being the case. If the magnitude of the speed v is defined, what...
  28. C

    Math Career Choices with a B.S. in Applied Mathematics.

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  29. I

    Uncertainites About Complex Applied Mathematics

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  30. P

    Courses References for Methods of Applied Mathematics Course

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  31. E

    Switching from Engineering to Applied Mathematics?

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  32. A

    Programs Which is the more marketable degree: Applied Mathematics or Statistics?

    which one is more marketable/versatile? can you get a job from just getting a bachelor's in either one of them? gracias
  33. thrill3rnit3

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    What are different areas of study in Applied Mathematics? That's what I'm planning to do in college but I'm trying to figure out which area I'm going to focus on.
  34. M

    Programs Should I Pursue a PhD in Applied Mathematics with My Background?

    Hi guys... Just wanted to clarify a few doubts as to what i should do with myself in the future. I am a double major in Electrical n Computer system engg (ECSE) and Econometrics (Actuarial science) in Australia. I really enjoy maths especially math that we can apply to the real world to...
  35. A

    Math Applied Mathematics vs. Science

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  36. A

    Applied Math Major: Career Options & Minoring in Physics

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  37. W

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    So, I am interested in majoring in math at Georgia Tech starting this summer, and was wondering what the difference between discrete and applied mathematics is. Any information is greatly appreciated. Also, what does anyone think about double majoring in math and physics?
  38. Holocene

    Applied mathematics: What can I expect to study?

    If I were to decide to pursue a degree in applied mathematics, what specific applications can one typically expect to study? I’m just a little confused about what applied mathematics really is. I want to learn about applications of mathematics to scientific/physical phenomena. I am not...
  39. Holocene

    Applied mathematics or Electrical Engineering?

    I've made a decision to attend school locally, so as to save some cash. I like the idea of the applied math degree, because I have a pretty big interest in math. But, I'm worried about the ability to find employement afterwards. Would going after an EE degree provide a better chance at...
  40. P

    How do these statistics courses compare to other schools?

    It's time for me to start deciding if I should head the applied mathematics route or statistics route. I know the applied mathematics program at my school is is on par with others but I'm not sure about the statistics program. I do not know much about other school's statistics programs, so I...
  41. O

    Which is more difficult: pure or applied mathematics?

    How would you compare applied and pure mathematics? Is one more difficult than the other? What is the general difference? What do you think is the most interesting field of those two? Can someone who is bad at using applied math, be more capable of pure math and vice versa? ("Theoretical"...
  42. B

    Theoretical Physics or Applied Mathematics?

    Hello, I've searched the forums and have seen similar questions come up, but no direct answers. So sorry for bringing up a topic which may seem to some of you, talked to death! Anyway I'm in the first year of my undergrduate degree programme at university, studying theoretical physics...
  43. D

    Game Theory - applied mathematics - how powerful is it?

    I would like to learn more about the uses for the applied mathematics of Game Theory. I am most familiar with this excellent reference [inside viewable on Amazon]: Dynamic Noncooperative Game Theory (Classics in Applied Mathematics) (Paperback) by Tamer Basar, Geert Jan Olsder Question 1...
  44. D

    Exploring Dimensions of Game Theory in Applied Mathematics

    In the applied mathematics of Game Theory, dimensions are considered alternative strategies. I have been reading a classic from the Society of Industrial and Applied Mathematics [SIAM]: Tamer Basar and Geert Jan Olsder. 'Dynamic Noncooperative Game Theory', revised 1999 from 1982. The authors...
  45. H

    Any recommended texts in applied mathematics?

    Hi all! I am a mechanical engineering major who want to pusue graduate study in applied mathematics. I am wondering if you guys could recommend me some outstanding self-learning textbooks in applied mathematics. I would not get much asstance from anyone, so the more the book is...
  46. H

    Whom are applied mathematics for?

    Hi all! I am a mechanical engineering student, in the final year, and am planning to go for graduate study. I am a bit confused about what to do for graduate study. Indeed, I was attracted to mechanical engineering because of the theoretical stuff it contains like heat transfer, fluid...
  47. J

    Divisions of applied mathematics

    Complementing the fields of physics thread, and as a bit of fun :wink:, I wondered what people make of wikipedia's definition of divisions within applied maths: Applicable areas of mathematics include most notably * differential equations (ODEs and PDEs) * numerical...
  48. C

    Exploring Applied Math: Courses and PhD Possibilities

    If I were to major in applied mathematics, what courses would I normally take? Secondly, is it possible to get a PhD in applied math? Thanks
  49. C

    Schools NYU is ranked #1 in applied mathematics for graduate school

    I know NYU is ranked #1 in applied mathematics for graduate school. But how is its undergraduate mathematics program? Can students take classes at the Courant Institute. Is it up to par with the graduate school? Thanks
  50. B

    Can Talent and Passion Coexist in Applied Mathematics?

    Hey all I just talked to a 'friend' in my class, who gets really good in mathematics and stuff. We were just talking about (or he, to be more precise) the grades we and he got. Not necessarily saying he was boasting or anything. I was shocked to find out he didn't actually like...
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