Definition

1. Noun:
   • The abstract science of number, quantity, space, and their relationships and operations: "mathematics" is the systematic study of structures, patterns, and logical deductions based on axioms and definitions.
   • A group of related sciences involving calculation and logical reasoning: "mathematics" encompasses fields like algebra, geometry, calculus, and statistics, all dealing with abstract concepts of form and quantity.

Usage Examples

• Noun:
  • She has always excelled in mathematics.
  • The development of modern physics relies heavily on advanced mathematics.
  • Pure mathematics is often studied for its intrinsic beauty and logical structure.

Advanced Usage

• "to do the mathematics": to perform the necessary calculations or to think through the logical implications of a situation.
  • Before starting the project, we need to do the mathematics to ensure it's financially viable.
• "the mathematics of something": the underlying quantitative or logical principles governing a particular system or situation.
  • Understanding the mathematics of compound interest is crucial for personal finance.

Variants and Related Words

• Mathematical (adj): relating to or using mathematics.
  • He provided a mathematical proof for the theorem.
• Mathematician (n): a person who is an expert in or a student of mathematics.
  • She is a renowned mathematician specializing in topology.

Synonyms

• Math (n, informal): a common short form for mathematics.
• Arithmetic (n): the branch of mathematics dealing with the properties and manipulation of numbers, often considered a part of mathematics.

Related Phrases

• Pure mathematics: the study of mathematical concepts independently of any application outside mathematics.
• Applied mathematics: the application of mathematical methods by different fields such as science, engineering, business, and computer science.

Noun

1. a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement