đại số

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The Vietnamese word "đại số" translates to "algebra" in English. It is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve equations and represent relationships.

Basic Definition:

• Đại số (Algebra): A field in mathematics focused on using letters and numbers to express mathematical ideas and relationships.

Usage Instructions:

• You will encounter "đại số" in various contexts, such as in school subjects (like "môn đại số" meaning "algebra subject") or when discussing mathematical concepts involving variables and equations.

Examples:

1. Basic Usage:

   • "Tôi đang học đại số trong trường." (I am studying algebra at school.)

2. Algebraic Expression:

   • "Một biểu thức đại số có thể là x + 2." (An algebraic expression can be x + 2.)

Advanced Usage:

• In more advanced mathematics, "đại số" can refer to different branches of algebra, such as:
  • Đại số tuyến tính (Linear Algebra): The study of vectors, vector spaces, and linear mappings between them.
  • Đại số trừu tượng (Abstract Algebra): The study of algebraic structures like groups, rings, and fields.

Word Variants:

• Biểu thức đại số: Algebraic expression
• Số đại số: Algebraic number, which refers to numbers that are roots of polynomial equations with integer coefficients.

Different Meanings:

• In a broader sense, "đại số" can refer to any mathematical manipulation or calculation that involves variables, not just limited to formal algebraic equations.

Synonyms:

• Toán học (Mathematics): While this is a broader term, "đại số" is a specific part of mathematics.
• Số học (Arithmetic): Refers generally to basic calculations, but it can overlap with some aspects of algebra.

Conclusion:

Understanding "đại số" is essential for anyone studying mathematics, as it lays the foundation for many advanced mathematical concepts.

Academic

1. như đại số học Algebraic
   • Biểu thức đại số
     An algebraic expression
   • Số đại số
     An algebraic nummber