History of Algebra

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Questions and Answers

What was the crisis in Mathematics that Cauchy's work helped to resolve?

  • The lack of mathematicians in the 19th century
  • The disagreement between mathematicians about the concept of limit
  • The limitation of Mathematical Physics to theoretical applications
  • The issue of 'infinitesimally small' quantities (correct)

Who, along with Cauchy and Weierstrass, contributed to the development of the Theory of Complex Functions?

  • Riemann (correct)
  • Gauss
  • Euler
  • Dirichlet

What did Dirichlet's work on the notion of functions help to resolve?

  • The dispute between mathematicians about the concept of infinity
  • The crisis caused by 'infinitesimally small' quantities
  • Another factor in the crisis of Mathematics (correct)
  • The issue of mathematical notation

What is the name of the theorem proved by Gauss that was a significant advancement in the century?

<p>The Fundamental Theorem of Algebra (B)</p> Signup and view all the answers

What area of Mathematics did Gauss not contribute to significantly?

<p>Biology (B)</p> Signup and view all the answers

What is the name of the integral defined by Riemann?

<p>The Riemann Integral (D)</p> Signup and view all the answers

What is the name of the hypothesis in Number Theory contributed by Riemann?

<p>The Riemann Hypothesis (D)</p> Signup and view all the answers

What is the name of the equations in Mathematics contributed by Riemann and Cauchy?

<p>The Cauchy-Riemann Equations (B)</p> Signup and view all the answers

What area of Mathematics did Riemann contribute to, in addition to Number Theory and Differential Geometry?

<p>All of the above (D)</p> Signup and view all the answers

Who is the author of the book 'History of Mathematics: The Golden Age of Islamic World & The Renaissance and Classical Era in Europe'?

<p>Deniz Karlı (A)</p> Signup and view all the answers

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