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proton
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for each of these careers: engineer, physicist, mathematician, how much numerical analysis is necessary? is just learning mathematica sufficient? or do you need at least a full class in numerical analysis?
will.c said:But numerical analysis is so boring.
proton said:for each of these careers: engineer, physicist, mathematician, how much numerical analysis is necessary? is just learning mathematica sufficient? or do you need at least a full class in numerical analysis?
proton said:for each of these careers: engineer, physicist, mathematician, how much numerical analysis is necessary?
proton said:alright, i get the message, we need lots of numerical analysis.
anyways , I'm starting my physics research this summer, and my only programming experience is a class in c++. so would taking a numerical analysis seminar (which only has 1-hr lecture each week)that teaches mathematica be really helpful? if not, i might as well drop the class
Numerical analysis is used to solve complex mathematical equations or problems that have no analytical solution. It involves using numerical methods to approximate the solution to these problems.
Numerical analysis allows scientists to solve complex problems that would be impossible to solve analytically. It also provides a more accurate and precise solution compared to manual calculations, especially for large datasets.
Some common numerical methods used in scientific research include interpolation, extrapolation, numerical integration, root finding, and optimization techniques such as gradient descent.
A strong foundation in mathematics, particularly in calculus and linear algebra, is necessary for understanding and using numerical analysis effectively. However, with the availability of software and tools, one does not need to have advanced mathematical skills to apply numerical analysis in their research.
Yes, numerical analysis can be applied to a wide range of scientific fields, including physics, chemistry, biology, engineering, and economics. It is a versatile tool that can be used to solve complex problems in any field that involves mathematical equations or models.