Mathematics: Major Subdisciplines and Concepts
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Questions and Answers

What are the major subdisciplines of modern mathematics?

  • Arithmetic, calculus, topology, and probability
  • Number theory, algebra, geometry, and analysis (correct)
  • Calculus, trigonometry, algebra, and statistics
  • Algebra, calculus, geometry, and probability

What do most mathematical proofs consist of?

  • A series of experiments and observations
  • Random guesses followed by trial and error
  • A succession of applications of deductive rules to already established results (correct)
  • An analysis of empirical data

In which areas is mathematics essential?

  • Natural sciences, engineering, medicine, finance, computer science, and social sciences (correct)
  • Sociology, psychology, political science, economics, and philosophy
  • Astronomy, geology, paleontology, chemistry, and physics
  • Literature, art, history, anthropology, and linguistics

What are mathematical objects in modern mathematics?

<p>Entities stipulated to have certain properties called axioms (A)</p> Signup and view all the answers

How are some areas of mathematics developed?

<p>In close correlation with their applications and often grouped under applied mathematics (C)</p> Signup and view all the answers

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