Mathematics: Subdisciplines and Concepts
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Questions and Answers

What are the major subdisciplines of modern mathematics?

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

    • What do most mathematical proofs consist of?

  • A collection of assumptions and their implications
  • A set of random mathematical equations
  • A succession of applications of deductive rules to already established results (correct)
  • A series of experimental observations and their outcomes

    • What are mathematical objects stipulated to have in modern mathematics?

  • Properties that are constantly changing
  • Properties based on experimental evidence
  • Random properties without any specific definition
  • Certain properties called axioms (correct)

    • In what areas is mathematics essential?

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

    Which areas of mathematics are often grouped under applied mathematics?

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

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