We should do a lot of exercises in and out of class. It's impossible for a person who hasn't done many math problems to pass the college entrance examination. The principles of doing the exercises are as follows: First, the exercises in the textbook should be completely finished and understood. The exercises in the textbook are always the most basic and typical exercises.
Mathematics is introduced as follows:
Mathematics [English: Mathematics, from ancient Greece μ? θξμα(máthēma)； Often abbreviated as math or maths], it is a discipline that studies concepts such as quantity, structure, change, space and information.
Mathematics is a universal means for human beings to strictly describe and deduce the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.
Mathematics plays an irreplaceable role in the development of human history and social life, and it is also an indispensable basic tool for studying and studying modern science and technology.
Mathematics is applied in many different fields, including science, engineering, medicine and economics. The application of mathematics in these fields is generally called applied mathematics, which sometimes arouses new mathematical discoveries and promotes the development of new mathematical disciplines.
Mathematicians also study pure mathematics, that is, mathematics itself, without any practical application. Although a lot of work started from the study of pure mathematics, it may find a suitable application later.
Specifically, there are some sub-fields used to explore the relationship between the core of mathematics and other fields: from logic and set theory (mathematical basis) to empirical mathematics in different sciences (applied mathematics), and more recently, uncertainty research (chaos and fuzzy mathematics).
As far as verticality is concerned, the exploration in each field of mathematics is getting deeper and deeper.