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Mathematics is the science and study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. There is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. The mathematician Benjamin Peirce called mathematics "the science that draws necessary conclusions". Albert Einstein, on the other hand, stated that "as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality." Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Mathematics continued to develop, in fitful bursts, until the Renaissance, when mathematical innovations interacted with new scientific discoveries, leading to an acceleration in research that continues to the present day. Today, mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new disciplines. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind, although practical applications for what began as pure mathematics are often discovered later. From Wikipedia under the
GNU Free Documentation License What advanced math classes should I take for economics? Q. I'm an economics major, and I'm not sure exactly what sort of math classes I should be taking. I'm planning on graduating next year, and I am interested in the most useful math classes to take to prepare myself for grad school in economics. I'm taking the analysis courses with Rudin's book this fall and spring, Applied Linear Algebra this fall, and then I want to take topology as well. But I want to take more math, should I do things like numerical methods, fundamental structure of Algebra, or Differential Equations or what? I'm actually only a Junior, so I have quite a bit more time for classes, but I'm currently taking the basis higher level stat classes, and will probably need to decide which classes to take there, but I think I have… [cont.] Asked by greeneggs4spam - Tue Oct 9 17:12:12 2007 - - 2 Answers - 0 Comments A. First of all, you should definitely stay focused on applied math classes and don't take too many pure math classes unless you are interested in math. Now, the applied math classes for an econ major would be undergraduate trimester calculus course (which sounds like you have taken). Then linear algebra, ordinary differential equations, AND some sort of an intro to applied math class (which will be an advanced version of calculus 3). Notice this class is not the same as the analysis courses you are taking which are also called advanced calculus by some people. Numerical analysis/methods will definitely be useful (in fact a lot of recent discoveries in numerical analysis were made by economists and weather forecasters). Topology is… [cont.] Answered by The Prince - Tue Oct 9 17:37:50 2007 How can math and science skills contribute to the long-term sustainability of a state? Q. How can Math and science skills contribute to the long-term sustainability of a state? Asked by Chewy - Thu Apr 2 17:56:34 2009 - - 1 Answers - 0 Comments A. As populations increase past the point of small villages, it becomes critical for the welfare of all involved that the state's available resources are used efficiently. This demand for efficient use continues to increase as the population increases. This efficient use requires math and science skills. For example, while a village of 100 may all get their drinking water from a village, and all live close enough to get it themselves, a city of 100,000 cannot. Thus, the water must be distributed from the river among the inhabitants which requires the construction of canals, pumps, etc. Besides the obvious resources like water, food, timber, etc. this need for efficiently managing resources impacts many resources we often take for granted in… [cont.] Answered by joyousnorth - Fri Apr 3 07:47:51 2009 What kind of math should i be learning for computer science?
Q. I am trying to get into computers, but I haven't had any kind of math since high school. I need to learn C++ But I don't know where to start math wise. How can I learn Math what is the kind of math i should be learning. I don't have any experience beyond the basics. Asked by Jay R - Thu Oct 16 10:35:03 2008 - - 3 Answers - 0 Comments A. I would highly recommend discrete math...you'll learn topics such as logic, set theory, combinatorics, and algorithms. Answered by herooftime - Thu Oct 16 10:44:03 2008 From Yahoo Answer Search: "Math"
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