Mathematics: Topics and Subdisciplines
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Combinatorics, linear algebra, calculus, and set theory
  • Calculus, trigonometry, algebra, and statistics
  • Number theory, algebra, geometry, and analysis (correct)
  • Logic, probability, differential equations, and topology

What consists of a succession of applications of deductive rules to already established results in mathematics?

  • Theorem
  • Hypothesis
  • Proof (correct)
  • Axiom

Which areas extensively use mathematics for modeling phenomena?

  • Natural sciences, engineering, medicine, finance, computer science, and social sciences (correct)
  • Anthropology, archaeology, linguistics, sociology, and psychology
  • Astronomy, astrology, alchemy, physics, and chemistry
  • Ecology, geology, botany, zoology, and meteorology

What are the fundamental truths of mathematics independent from?

<p>Any scientific experimentation (A)</p> Signup and view all the answers

Which areas of mathematics are often grouped under applied mathematics?

<p>Statistics and game theory (A)</p> Signup and view all the answers

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