What are Spherical Harmonics and their Applicability in Applied Math?

In summary, applied math questions are real-world problems that require the use of mathematical concepts and techniques. It differs from pure math in its focus on practical applications and use of real-world data. Examples of applied math questions include predicting stock market trends, optimizing designs, and modeling the spread of diseases. Studying applied math is important for understanding and solving real-world problems, developing critical thinking skills, and driving advancements in various industries. To excel in applied math, one needs a strong foundation in mathematical concepts, analytical thinking and problem-solving skills, and familiarity with computer programming and data analysis tools.
  • #1
spaghetti3451
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Hi,

Can anyone please help me understand what spherical harmonics are and their applicability?
 
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  • #3
You might want to take a step backwards from your question, and first ask "what are orthogonal functions and why are they useful in applied math and physics". Google will find you lots of web pages.

Spherical harmonics are one of may different sets of orthogonal functions, and they are useful when the boundary conditions are defined on spherical surfaces (hence the name).
 

Related to What are Spherical Harmonics and their Applicability in Applied Math?

1. What is an applied math question?

An applied math question is a problem or scenario that requires the use of mathematical concepts and techniques to find a solution or make a prediction. It involves using math to solve real-world problems in fields such as science, engineering, finance, and economics.

2. How is applied math different from pure math?

Applied math is focused on using mathematical concepts and tools to solve practical problems, while pure math is more abstract and theoretical. Applied math also involves working with real-world data and making connections to other disciplines, while pure math is more self-contained and focused on exploring mathematical concepts for their own sake.

3. What are some examples of applied math questions?

Examples of applied math questions include predicting stock market trends, determining the most efficient route for a delivery truck, modeling the spread of diseases, and optimizing the design of a bridge or building. These questions require the use of mathematical concepts such as calculus, statistics, and linear algebra.

4. Why is it important to study applied math?

Studying applied math can help us better understand and solve real-world problems in various fields such as science, technology, engineering, and economics. It also helps develop critical thinking and problem-solving skills that are valuable in many careers. Additionally, advancements in applied math have led to innovations and advancements in various industries.

5. What skills are needed to excel in applied math?

To excel in applied math, one needs a strong foundation in mathematical concepts such as algebra, geometry, and calculus. Analytical thinking, problem-solving skills, and attention to detail are also important. Additionally, familiarity with computer programming and data analysis tools can be beneficial in tackling complex applied math questions.

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