Mathematics: Concepts and Subdisciplines
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Questions and Answers

Which subdiscipline of mathematics is primarily concerned with the study of properties and relationships of numbers?

  • Analysis
  • Algebra
  • Number theory (correct)
  • Geometry
  • In modern mathematics, which branch is concerned with the study of mathematical structures and their manipulation?

  • Algebra (correct)
  • Number theory
  • Geometry
  • Analysis
  • Which branch of mathematics focuses on the study of shapes, sizes, and properties of space?

  • Geometry (correct)
  • Algebra
  • Number theory
  • Analysis
  • Which branch of mathematics involves the study of limits, functions, derivatives, integrals, and infinite series?

    <p>Analysis</p> Signup and view all the answers

    What type of activity does most mathematical activity involve?

    <p>Discovery of properties of abstract objects</p> Signup and view all the answers

    What word is used to describe areas of mathematics which are developed independently from any application?

    <p>Theoretical mathematics</p> Signup and view all the answers

    Which historical mathematician is credited with the problem of integer factorization, which later found practical applications in RSA cryptosystem?

    <p>Euclid</p> Signup and view all the answers

    What was primarily divided into geometry and arithmetic until the 16th and 17th centuries when new fields like algebra and infinitesimal calculus were introduced?

    <p>Pure mathematics</p> Signup and view all the answers

    What term comes from Ancient Greek meaning 'that which is learnt' and 'what one gets to know'?

    <p>Máthēma</p> Signup and view all the answers

    What did the term 'mathematics' more commonly mean in Latin and English until around 1700?

    <p>Astrology</p> Signup and view all the answers

    What did Saint Augustine warn Christians should beware of, due to a mistranslation of the term 'mathematici'?

    <p>Mathematicians</p> Signup and view all the answers

    What was likely the first group to constrain the use of the word 'mathematics' to just the study of arithmetic and geometry?

    <p>Pythagoreans</p> Signup and view all the answers

    What did the word 'mathematics' come to mean in Classical times?

    <p>'Mathematical study'</p> Signup and view all the answers

    What did the contemporary Mathematics Subject Classification list more than 60 first-level areas of?

    <p>'Pure mathematics'</p> Signup and view all the answers

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