Mathematics: Concepts and Subdisciplines

• Number theory, algebra, geometry, and analysis (correct)
• Differential equations, topology, combinatorics, and abstract algebra
• Calculus, trigonometry, algebra, and statistics
• Linear algebra, probability, cryptography, and calculus

• Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
• Conducting experiments to test mathematical theories
• Observing patterns in nature and formulating mathematical principles
• Using trial and error to find mathematical solutions

• An analysis of real-world data to support a mathematical claim
• A collection of mathematical formulas and equations
• A series of experiments to demonstrate a mathematical concept
• A succession of applications of deductive rules to already established results (correct)

<p>Natural sciences, engineering, medicine, finance, computer science, and social sciences (C)</p> Signup and view all the answers

<p>No, the fundamental truths of mathematics are independent from any scientific experimentation (C)</p> Signup and view all the answers