수학은 어디에 활용되는가?
icm2006[편집]
























 Bid and win. What do you have to do to make the most of bidding at an auction? Game Theory, created by the Hungarian mathematician John von Neumann between 1920 and 1940, analyses the different players and the different strategies for anticipating their preferences. For example, in a symmetrical situation in which the different players are all following the same train of thought, a bidder must seek maximum benefit while knowing that the others are following the same strategy as he or she.
 Is this skyscraper going to fall? Numbers have also enabled complex mathematical models to be developed for the computer representation of practically any solid or fluid with the aim of simulating the way it behaves in reality. In other words, these models are a way of predicting the future, and have already been used for analysing the stability of skyscrapers and bridges in earthquake conditions, or for simulating the landing of space probe on a distant planet. Attempts are currently being made to reproduced organs of the human body by computer in order to be able to predict how a patient will respond to surgery in an operating theatre.
 The chances of developing cancer. Many diseases are determined by hereditary factors, which means that a person carrying a particular gene may be predisposed to suffering from a certain illness. This is the case with the BRCA1 gene, whose mutation was discovered in 1990 and is involved in a high percentage of cases of women suffering from breast cancer. In order to isolate this gene, researchers were obliged to carry out many statistical analyses on people from the same family groups.
 From Jurassic Park to Star Wars. Creating toy models that come to life on the cinema screen or making an audience grip their seats under imminent attack by a Tyrannosaurus Rex is in large part possible thanks to mathematics. Many of the most amazing special effects in feature or animated films are a combination of pixels and geometrical shapes created mathematically by means of computer programmes.
 Reliving the past. Reconstructing a broken vase is never an easy task. But what happens if the vase is hundreds of years old and must be put together again from hundreds or thousands of small, incomplete and jumbled fragments, without an overall notion of what the vase was like originally? Mathematics are also an indispensable tool in archaeology, since they enable surfaces of all kinds to be reconstructed, even including parts of the human body using a few ancient remains. The available parts are digitalized and included in computer programmes that recompose the object virtually by means of geometry, combinations and statistics.
 Protecting the environment. The combination of mathematics and ecology enables us to understand the complex interactions of nature. With the help of algebra, numerical simulations, stochastic processes, differential equations and statistics, many models can be created for determining for example the extent of territory required for conserving a particular animal population, or at what rate an invading species of plant is propagated.
 Music and literature. Whether it be an opera by Mozart or a guitar riff by Keith Richards, all the music stored on a CD is made up of long series of zeros and ones. But this is far from being the only relation of mathematics with music and with art. Musical composition is closely linked with mathematics, the same as many paintings and works of art. Mathematics is also present in many classical works of literature, such as “Alice in Wonderland” or “Gulliver’s Travels”. And in the case of Borges, who studied mathematics for several years, the traces of this science can be found in all his work, especially in his story “The Aleph”, which refers to a mathematical theory stating that the sum is not necessarily greater than the parts.
애니메이션[편집]
 Moving Remy in Harmony: Pixar's Use of Harmonic Functions
 “Pixar: The Math behind the Movies  Tony DeRose.” YouTube. Accessed April 3, 2014. http://www.youtube.com/watch?v=_IZMVMf4NQ0.
메모[편집]
 직업 http://mathsadds.amsi.org.au/
 Stockie, John M. “Mathematics For Industry: A Personal Perspective.” arXiv:1509.03272 [math], September 4, 2015. http://arxiv.org/abs/1509.03272.
 국가 정책으로서의 산업응용수학 활성화 전략수립, 대한수학회, 20152
 PUMAS Example, Practical Uses of Math And Science
 WeUseMath.org
 Real world applications of representation theory of nonabelian groups
 게임 프로그래머는 수학을 배워야 할까?
 샤이아에 적용된 망토 시뮬레이션은 어떻게 구현했을까?
 The Mathematical Sciences' Role in Homeland Security:Proceedings of a Workshop
 Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century
 Applied Mathematics: Body and Soul http://www.bodysoulmath.org/books/
 Crashing waves, awesome explosions, turbulent smoke and beyond
 Math at Google 구글을 만드는데 사용된 수학 요소들을 정리한 슬라이드 http://j.mp/PNcV1K
 PageRank
 스팸검출
 시계열(구글트렌즈)
 음성검색
 OCR(구글북스).
 http://commons.bcit.ca/math/examples/