What does algebra span width mean What is the definition of algebra?

Algebra is a sub-discipline of mathematics that studies the theory and methods of algebraic operations on numbers and words, or more precisely, the theory and methods of pre-search algebra operations in real and complex numbers, silver leaks, and polynomials with coefficients. (I try my best to answer for you, I hope to give [good reviews], thank you very much).

Algebra is a branch of mathematics that studies the theory and methods of algebraic operations on numbers and words, more precisely, the theory and methods of algebraic operations on real and complex numbers, as well as polynomials with coefficients on them. Elementary algebra is a generalization and development of the more ancient arithmetic.

Algebra is all about copying an English letter to replace that very difficult unknown. For example, a-b=2, then there are too many that can satisfy a-b=2, 4-2=2, 10-8=2, 976-974=2, and, but it is not for you to ask for what 4, 8, 10, 976, 974 These specific numbers, but as long as you get 2, then it is completed, so there is a use of 1 English letter can replace countless numbers, making the very difficult problem to solve very simple, and convenient and simple in the process of operation. From algebra, it can also be seen that the development of science and technology in Western countries has something to do with their writing.

Their writing is convenient for scientific and technological calculations and conducive to the dissemination of scientific and technological knowledge.

Geometry is a discipline that studies the structure and properties of space. It is one of the most basic research contents in mathematics, and it is as important as analysis, algebra, etc., and is extremely closely related.

Due to the needs of human production and life, geometry was born.

In primitive society, human beings have accumulated a lot of knowledge about the shape, size and position relationship between objects in production and life. For example, people in ancient times knew the shape and size of their prey, remembered the distance between their place of residence and their place of hunting, and the orientation of the place where they lived. With the continuous development of human society, people have a richer understanding of the shape, size and position relationship between objects, and gradually accumulate a richer knowledge of geometry.

Algebra is a branch of mathematics that studies the theory and methods of algebraic operations on numbers and words, more precisely, the theory and methods of algebraic operations on real and complex numbers, as well as polynomials with coefficients on them.

In ancient times, when arithmetic accumulated a large number of solutions to various quantitative problems, in order to find a systematic and more general way to solve the problems of various quantitative relations, elementary algebra was produced with the principle of solving equations as the central problem. Algebra evolved from arithmetic, there is no doubt about it. As for the age in which the subject of algebra was produced, it is not easy to say.

For example, if you think of "algebra" as the skill of solving symbolic equations like bx+k=0. This "algebra" was developed only in the sixteenth century. Algebra is about solving equations.

Theyrs are different.

Algebra is the study of the logical connection between numbers, and is the operation of algebraic and algebraic forms. Geometry, on the other hand, is the necessary connection between the various corner areas in a figure.

Algebra is the foundation of all sciences, including geometry.

How to learn these two subjects well.

1. Pay attention to listening and lectures in class, and review in time after class.

2. Do more questions appropriately and develop good problem-solving habits.

3. Adjust your mentality and treat the exam correctly.

The geometric meaning is unified with the algebraic meaning.

For example, if the algebraic formula of a function substitutes a function value of 0 at a certain point of coordinates, if this function is a function in the real domain, the image will intuitively reflect that the function image has an intersection point with the coordinate axis, and in the complex domain, its mapping has an intersection point with the real axis.

The algebraic meaning is summarized as making the function algebraic formula have a function value of 0 at that point, and the geometric meaning is summarized as the intersection of the map and the coordinate axis.

Algebra is the use of letters or symbols to represent numbers or formulas.

Substitution, the meaning of referential, that is, the use of symbolic language instead of pure numbers or unknowns to solve some practical problems.

Substitution is simply the substitution of one symbol or formula for another.

Shaped like a b, a and b are integers, and the one with unknown numbers in b and b is not equal to 0 is called a fraction. where A is called the numerator of the fraction and B is called the denominator of the fraction.

Also note: (1) The denominator of the fraction must contain an unknown number.

2) The value of the denominator cannot be zero, if the value of the denominator is zero, then the fraction is meaningless.

3) Since letters can represent different numbers, fractions are more general than fractions, and you can judge according to the above items.

x+y 5 is a polynomial, but not a fraction.

Algebraic expressions with unknowns in the denominator are called fractions.

x+y 5 is not.