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Mathematics is one of the oldest and most fundamental sciences Mathematicians use mathematical theory computational techniques algorithms and the latest computer technology to solve economic scientific engineering physics and business problems The work of mathematicians falls into two broad classes theoretical mathematics and applied mathematics Theoretical mathematicians advance mathematical knowledge by developing new principles and recognizing previously unknown relationships between existing principles of mathematics Although they seek to increase basic knowledge without necessarily considering its practical use such pure and abstract knowledge has been instrumental in producing or furthering many scientific and engineering achievements Applied mathematicians on the other hand use theories and techniques such as mathematical modeling and computational methods to form and solve practical problems in business government engineering and the physical life and social sciences For example they may analyze the most efficient way to schedule airline routes the effect and safety of new drugs and the aerodynamic characteristics of an experimental automobile Applied mathematicians working in industrial research and development may develop or enhance mathematical methods when solving a difficult problem analyze systems designed to transmit military political financial or law enforcement-related information in code Applied mathematicians start with a practical problem envision the separate elements of the process under consideration and then reduce the elements into mathematical variables They often use computers to analyze relationships among the variables and solve complex problems through developing models with alternate solutions Much of the work in applied mathematics is done by individuals with titles other than mathematician In fact because mathematics is the foundation upon which so many other academic disciplines are made the number of workers using mathematical techniques is much greater than the number formally designated as mathematicians Workers such as engineers computer scientists physicists and economists use math a lot Mathematicians usually work in comfortable offices They are often part of a team that may include economists engineers computer scientists physicists technicians and others Deadlines overtime work special requests
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