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Mathematics: Subdisciplines and Topics
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Mathematics: Subdisciplines and Topics

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Questions and Answers

What are the major subdisciplines of modern mathematics?

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

    • What does most mathematical activity involve?

  • Discovery of properties of abstract objects and use of pure reason to prove them (correct)
  • Experimental testing and observation
  • Exploration of physical phenomena
  • Application of statistical methods

    • What do proofs in mathematics consist of?

  • A collection of empirical evidence
  • A succession of applications of deductive rules to already established results (correct)
  • A series of experimental trials and observations
  • An analysis of statistical data

    • In which areas is mathematics essential?

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

    What are some areas of mathematics developed in close correlation with their applications?

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

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