An academic discipline that examines the properties and relationships of numbers, quantities, shapes, and functions, alongside the laws that govern them, with a focus on establishing a logical framework for the results obtained.
A field of study that has evolved from the traditional focus on numbers and arithmetic to encompass a broad range of concepts related to quantity, space, and abstract notions, reflecting its historical development and adaptation over time.
A branch of knowledge that is categorized into major areas such as algebra, geometry, and analysis, and is characterized by its systematic approach to solving problems and establishing relationships among various mathematical entities.
Example:
数学は彼女の弱点です。
A branch of mathematics focused on the manipulation of symbols and variables to represent numbers and their relationships, often used to solve equations and understand mathematical properties and operations.
The study of mathematical structures defined by operations such as addition and multiplication, exploring the principles and theories that govern these abstract systems.
An area of mathematics that evolved from solving numerical equations with letters to the exploration of abstract algebraic structures and the relationships between their elements.
数学的 refers to concepts or principles that are derived from or related to the field of mathematics, often involving numerical calculations, formulas, and logical reasoning.
数学的 describes an approach or method that relies on mathematical theories and structures to analyze or solve problems, emphasizing precision and deductive reasoning.
数学的 characterizes a quality or characteristic that pertains to the systematic study of patterns, quantities, and relationships, typically used in academic or scientific contexts.
Example:
ガウスには数学的な問題を考える生まれついた才能があった。
A person who specializes in the study and application of mathematical concepts, theories, and techniques, contributing to the advancement of mathematics as a discipline.
An individual engaged in research and problem-solving within various branches of mathematics, often involved in theoretical exploration or practical issues requiring mathematical analysis.
A professional or academic who teaches mathematics at various levels and instills a deep understanding of mathematical principles in students and scholars.
Example:
若いけれども彼はこれまでに例のないほどの偉大な数学者である。