Applied mathematics Definition and 19 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. The applications of eigenvectors and eigenvalues | That thing you heard in Endgame has other uses

    The applications of eigenvectors and eigenvalues | That thing you heard in Endgame has other uses

    Zach Star gives an explanation of Eigenvalues and Eigenvectors, with some applications
  2. K

    Adjacency matrices and network visualisations

    I have this set of adjacency matrices and networks given to me and I need to match the matrix to the network and then describe the dynamics. At first glance it seems to be Ac, Bb and Ca but I'm not sure if that's too obvious and I'm missing something as I haven't looked at visual...
  3. T

    Programs Experimental physics, applied math, or both?

    Hey all, So I'm about to be a senior at a US school, and likely want to do grad school. I'm posting here because my interests are really sort of disparate and don't really share a theme. I like dynamics, stat mech, doing stuff on computers, and doing stuff with my hands... Anyway, here's a...
  4. Pi Pie

    Math Master's degree after 30?

    Hi, everyone. Here I am, once again, full of uncertainty as for my future. I've previously stated my situation in another thread so this time I'm going straight to the point. If all ends meet I'll be acquiring my Master's degree in applied and computational mathematics at the age of 32...
  5. J

    Applied Zee and Georgi Group Theory books

    Hello. I will be attending a course on Group theory and the book that the professor suggests is Georgi's Lie Algebras in Particle Physics. As I liked Zee's book on General Relativity, I thought that it would be a blast to also use his Group theory textbook for the course. Problem is that I don't...
  6. S

    I Subforum for quantitative and mathematical economics?

    Here I would like to take the opportunity to suggest the addition of a subforum for the purpose of discussing quantitative and mathematical economics. This idea came up after I posted in a few recent topics (1st topic, 2nd topic). I am also partially motivated by QuantEcon, a website pointed out...
  7. Indiana

    Applied Which is more mathematical?

    Which is more mathematical among The Princeton Companion to Applied Mathematics and Mathematics for Physics by Michael Stone and Paul Goldbart? Both of them are applied mathematics books. What are the main differences between them? Which is more mathematical i.e. mathematically advanced...
  8. Avatrin

    Math Applications of discrete mathematics minus software

    Hi All applications of discrete mathematics I know of seem to be in computer science. I want to know if there is somewhere discrete mathematics are applied outside of software. What can I work as if I like discrete mathematics but do not want to program? (outside of academia, of course)
  9. U

    Programs Undecided between Masters Degree in BME, EE or Applied Math

    Background story: In high school, I fell in love with mathematics especially AP calculus (mostly because many other subjects in the sciences were not well taught in my school). I would often spend hours trying to learn the math in detail (often going more in detail then necessary on my own...
  10. Nipuna Weerasekara

    A Simple Harmonic Motion Question

    Homework Statement As in the given picture, the cylinder is drowned (not completely drowned as in partially drowned) in water. The cylinder is attached with a spring which has the spring constant of 200 N/m. The spring has attached to a unmovable point in the ceiling. The weight of the...
  11. EternusVia

    Programs Intersection of Physics and Applied Math?

    Hello all, I am interested in both physics and applied math. One of my professors is willing to work with me to get into a great applied math school, but I don't want to abandon my passion for physics. Is there work being done at the intersection of applied math and physics? Is it reasonable...
  12. J

    Applied Systems of 1st order PDEs with many independant variables?

    Does anyone know of any books or online resources that do a good job discussing systems of linear 1st order PDEs with several (more than 2) independent variables? I am not a mathematician, but can handle graduate level classical physics with the associated applied math. Analytical and...
  13. M

    Academic Guidence- Considering Gradschool

    Hello! I am new to the forum. Actually, I enrolled in the forum because of this question... It's been eating me for a while now. So I'll give you some background on my (convoluted) educational path. I started college undecided, then switch to a preprofessional chemistry path with hopes of...
  14. N

    Applied maths, monotonic function

    Hello, The equation is from a chemistry calculation; the textbook claims that the function is monotonic, without specifying whether it is monotonically increasing or decreasing. Depending on the starting conditions, the function can look different; I basically want to know if the following is...
  15. Ben Espen

    An interview with John D. Cook

    Computational Imagination has an interview up with John D. Cook. John is an applied mathematician who I have occasionally corresponded with, and in this interview he talks about his transition from academia to industry, the different careers he has had, and offers some tips on software...
  16. A

    Programs Is a math degree worth it?

    I am an economics major with a minor in mathematics. I have three semesters left in college, but if I took an additional semester I could complete a double major in econ and math. If completed, I would be interested in pursuing a master's in applied mathematics. My hope is that this will be...
  17. FuturePhysicist

    Other Math Textbook Series

    Hello I was looking for a volume set in intermediate/advanced math and I can't seem to find anything. I already have a book in calculus 2 but I'm looking to self study everything after that through advanced math. I want to be a theoretical physicist, but I'm open to learning interesting math...
  18. G

    Finding the height of a ball with a geometric series

    Homework Statement A ball is dropped from one yard and come backs up ##\dfrac{2}{3}## of the way up and then back down. It comes back and ##\dfrac{4}{9}## of the way. It continues this such that the sum of the vertical distance traveled by the ball is is given by the series...
  19. M

    Coulomb's Law formula help

    How do you calculate compute the the magnitude of the total force of three charges and also the angle it makes with the x-axis? Knowing the magnitude and also the 2d co ordinates of the charges. I have deliberately not given any specific values because this is not homework its a question from...