Can a mathematician please answer this?

Thread starter ehrenfest
Start date Apr 5, 2008
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Mathematician

In summary, mathematical proof is a logical argument that uses established facts and rules of logic to demonstrate the truth of a mathematical statement. Mathematicians approach problem-solving by using various techniques and strategies, such as breaking down problems, looking for patterns, and using logical reasoning. Pure mathematics is the study of mathematical concepts for their own sake, while applied mathematics uses math to solve real-world problems. Common misconceptions about mathematicians include that they are all geniuses and only work on abstract problems, when in fact they put in hard work and also work on practical issues. Mathematics is important in our daily lives in fields such as finance, engineering, and science, and helps us understand and navigate the world around us.

Apr 5, 2008

ehrenfest

Homework Statement

https://www.physicsforums.com/showthread.php?t=221581

Homework Equations

The Attempt at a Solution

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Apr 5, 2008

ehrenfest

anyone?

Apr 5, 2008

ehrenfest

anyone?

1. Can a mathematician please explain the concept of mathematical proof?

A mathematical proof is a logical argument that demonstrates the truth of a mathematical statement. It is a rigorous and systematic process that uses previously established facts and rules of logic to arrive at a conclusion.

2. How do mathematicians approach problem-solving?

Mathematicians use a variety of techniques and strategies to solve problems. These may include breaking down a problem into smaller, more manageable parts, looking for patterns and relationships, and using logical reasoning and creativity to come up with solutions.

3. Can a mathematician please explain the difference between pure and applied mathematics?

Pure mathematics is the study of mathematical concepts and structures for their own sake, without any specific application in mind. Applied mathematics, on the other hand, uses mathematical methods to solve real-world problems in fields such as physics, engineering, and economics.

4. What are some common misconceptions about mathematicians?

One common misconception is that all mathematicians are geniuses or have a natural talent for math. In reality, most mathematicians have put in a lot of hard work and practice to develop their skills. Another misconception is that all mathematicians only work on abstract and theoretical problems, when in fact many mathematicians also work on practical and applied problems.

5. How is mathematics important in our daily lives?

Mathematics plays a crucial role in our daily lives, whether we realize it or not. It is used in fields such as finance, engineering, and science, and helps us understand and make sense of the world around us. From calculating the cost of groceries to understanding how a cell phone works, mathematics is an essential tool in modern society.