| | [[Applied mathematics]] concerns the use of mathematical methods for practical purposes. [[Pure mathematics]] involves reasoning about abstract structures. | | [[Applied mathematics]] concerns the use of mathematical methods for practical purposes. [[Pure mathematics]] involves reasoning about abstract structures. |
| − | Applied mathematics has its emphasis in applications, and is used extensively in the sciences such as [[physics]], [[chemistry]], [[medicine]], and [[biology]], as well as [[engineering]], [[mechanics]] and [[technology]]. [[Economics]] and [[information theory]] also uses applied mathematics. Mathmeticians involved in research can and do create new theories, mathematical ideas, and new areas of study simply from their use of applied mathematics to solve various problems. | + | Applied mathematics has its emphasis in applications, and is used extensively in the sciences such as [[physics]], [[chemistry]], [[medicine]], and [[biology]], as well as [[engineering]], [[mechanics]] and [[technology]]. [[Economics]] and [[information theory]] also uses applied mathematics. Mathematicians involved in research can and do create new theories, mathematical ideas, and new areas of study simply from their use of applied mathematics to solve various problems. |
| | Topology began with [[Leonard Euler]]'s consideration of the [[Königsberg Bridges Problem]], which also introduced [[Graph Theory]]. [[Beck's map of the London Underground]] in 1933 used a topological distortion of the locations of the subway stations in order to produce a more useful and artistic map. [[Differential geometry]] is a specialized field of its own. | | Topology began with [[Leonard Euler]]'s consideration of the [[Königsberg Bridges Problem]], which also introduced [[Graph Theory]]. [[Beck's map of the London Underground]] in 1933 used a topological distortion of the locations of the subway stations in order to produce a more useful and artistic map. [[Differential geometry]] is a specialized field of its own. |