Both real and imaginary numbers belong to complex numbers. There are fields with uncomplicated fields. Commutative number field is the largest complex number field, and noncommutative number field has 4 yuan number field. Echo fish: The definition field is clearly defined, but the number field is not. However, many books stipulate that the subdomain of the complex field is the number field, so no one calls the finite field the number field. In addition, I have never seen the definition of "number", and everyone is used to calling the elements in complex fields "number". Those scholars who returned to Suzhou: "number" will not gradually expand. Up to the complex number, the finite commutative expansion of real number field is only complex number field (4 yuan number field has no commutativity). However, algebraic concepts derived from complex numbers, such as groups, fields and linear spaces, have played an important role in many scientific fields. Hui Huang Cizheng: When you say "the original meaning of numbers", you mean that there is a global order suitable for algebraic operations, then there is no complex number (complex numbers can define a global order, but they are not suitable for algebraic operations). Because there is no definition of "number", the original meaning of "number" varies from person to person, but the plural keeps the structure of the domain. In addition, the complex number field is not only a two-dimensional space of the real number field, but also a field. And linear space are not algebraic structures, so they cannot be isomorphic (of course, the structure of linear space is isomorphic). Because there is no finite exchange extension of real number fields above three dimensions, it is generally said that complex number fields are the largest number fields. I'm glad to talk to you about math. Back to the prickly positive: integers, fractions, decimals, negative numbers, irrational numbers, real numbers and complex numbers, some properties will be lost in every expansion of the concept of numbers, but there are always the same properties and four operations. Re-expansion will lose the commutativity of multiplication or the finite expansion of real number field. Of course, from real numbers to complex numbers, there is no order. In addition, a property is added to the complex number field: all polynomials have solutions. From the original meaning of numbers, the real number set is already the largest number field. A complex set is actually a set of ordered arrays composed of a pair of real numbers, which is equivalent to a plane vector set and is no longer a real "number". Ordered arrays composed of multiple real numbers are collectively called vectors, and are no longer named "numbers". When an ordered array (even if it is composed of more real numbers) is not enough, what is introduced is the matrix studied in linear algebra. When a matrix is not enough, it will introduce the matrix of space ... it will probably be endless, but it is certain that it will not be repeated. Both real and imaginary numbers belong to complex numbers. There are fields with uncomplicated fields. Commutative number field is the largest complex number field, and noncommutative number field has 4 yuan number field. Echo fish: The definition field is clearly defined, but the number field is not. However, many books stipulate that the subdomain of the complex field is the number field, so no one calls the finite field the number field. In addition, I have never seen the definition of "number", and everyone is used to calling the elements in complex fields "number". Those scholars who returned to Suzhou: "number" will not gradually expand. Up to the complex number, the finite commutative expansion of real number field is only complex number field (4 yuan number field has no commutativity). However, algebraic concepts derived from complex numbers, such as groups, fields and linear spaces, have played an important role in many scientific fields. Hui Huang Cizheng: When you say "the original meaning of numbers", you mean that there is a global order suitable for algebraic operations, then there is no complex number (complex numbers can define a global order, but they are not suitable for algebraic operations). Because there is no definition of "number", the original meaning of "number" varies from person to person, but the plural keeps the structure of the domain. In addition, the complex number field is not only a two-dimensional space of the real number field, but also a field. And linear space are not algebraic structures, so they cannot be isomorphic (of course, the structure of linear space is isomorphic). Because there is no finite exchange extension of real number fields above three dimensions, it is generally said that complex number fields are the largest number fields. I'm glad to talk to you about math. Back to the prickly positive: integers, fractions, decimals, negative numbers, irrational numbers, real numbers and complex numbers, some properties will be lost in every expansion of the concept of numbers, but there are always the same properties and four operations. Re-expansion will lose the commutativity of multiplication or the finite expansion of real number field. Of course, from real numbers to complex numbers, there is no order. In addition, a property is added to the complex number field: all polynomials have solutions. From the original meaning of numbers, the real number set is already the largest number field. A complex set is actually a set of ordered arrays composed of a pair of real numbers, which is equivalent to a plane vector set and is no longer a real "number". Ordered arrays composed of multiple real numbers are collectively called vectors, and are no longer named "numbers". When an ordered array (even if it is composed of more real numbers) is not enough, what is introduced is the matrix studied in linear algebra. When a matrix is not enough, it will introduce a spatial matrix ... this may be endless, but it is certain that they will no longer be called "numbers" and "numbers" will no longer be called complex numbers. In fact, it shouldn't be called "number" in the first place. Just get used to it and you don't need to change it. It is not that the number of complex numbers is undefined, so all the numbers in the defined number belong to the definition and expansion of complex numbers. I think math majors must discuss it. It's a pity that I am an amateur, but I think the generation and development of numbers are gradually expanding with the development of production and other sciences. Just like our universe, complex numbers are not the end of numbers. Mathematics is a tool created by human beings, and human beings will continue to create more perfect new tools. This is my view on logarithm and mathematics. Please correct me. What's the name "number"? It's called a complex number. In fact, it shouldn't be called "number" in the first place, but once you get used to it, you don't have to change it. It is not that the number of complex numbers is undefined, so all the numbers in the defined number belong to the definition and expansion of complex numbers. I think math majors must discuss it. It's a pity that I am an amateur, but I think the generation and development of numbers are gradually expanding with the development of production and other sciences. Just like our universe, complex numbers are not the end of numbers. Mathematics is a tool created by human beings, and human beings will continue to create more perfect new tools. This is my view on logarithm and mathematics.