Guidance on solving problems in mathematical physics methods
My personal opinion after years of study: whether it is science or liberal arts, their learning methods are the same: thinking, learning and using. But there are also differences. The theories and laws of liberal arts belong to "probability theory and law", that is, their accuracy is based on probability, and more than 90% of the facts can be regarded as correct laws. Scientific theories and laws are precise laws, that is, right or wrong. Specifically, the learning methods of mathematics and physics are slightly different: mathematics and physics are basically the same, and both emphasize logical reasoning, so the starting point of reasoning is of course the concepts and theorems written in books. The explanation of any phenomenon (such as doing problems) cannot be taken for granted, and we must think from the concept theorem. In the narrative and formula of concept theorem, many variables will appear in other concepts and theorems. This is the internal relationship between mathematics and physics, which allows you to relate the knowledge of each chapter. To understand the specific formula, we can change the variables on both sides of the formula equal sign, and analyze it by the method of controlled variables, that is, we can find the relationship between variables by keeping several variables unchanged and changing several of them. This is the starting point of physical and mathematical analysis and the basis of their learning methods. No matter how complicated the exercises you encounter, you are testing your understanding of concepts and formulas (theorems), which have few variables. Chemistry is called the liberal arts in science. There are too many things to remember. Accurate memory is very important. Just read more and recite more. The rest is to test your way of thinking: the process of thinking or analyzing problems. Remember to take things for granted, be clear-headed and clear-headed-that is, to have a reasonable basis for analyzing problems, that is, to start from the theorem of conceptual formulas.