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