Mathematics: The Language of Patterns and Relationships

Exploration of historical mathematical puzzles

Application of statistical methods

Discovery of properties of abstract objects (correct)

Experiments with physical phenomena

Combinatorics, linear algebra, differential geometry, and mathematical physics

Number theory, algebra, geometry, and analysis (correct)

Calculus, trigonometry, statistics, and probability

Differential equations, topology, abstract algebra, and logic

Experimental data and statistical analysis

A succession of applications of deductive rules to already established results (correct)

Logical reasoning without evidence

Trial and error methods

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