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Mathematics: Topics and Subdisciplines

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Questions and Answers

What is the narrower and more technical meaning of the word 'mathematics'?

The study of natural numbers and fractions

The study of statistics and game theory

The study of arithmetic and geometry (correct)

The mathematical art

Which area of mathematics had no practical application before its use in the RSA cryptosystem?

Algebra

Statistics

Integer factorization (correct)

Infinitesimal calculus

In Greek mathematics, which concept first appeared notably in Euclid's Elements?

Infinitesimal calculus

Proof and mathematical rigour (correct)

Algebra

Integer factorization

What did the Pythagoreans constrain the use of the word 'mathēmatikoi' to mean?

Learners of arithmetic and geometry Signup and view all the answers

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

Astrology Signup and view all the answers

What are the major subdisciplines represented in modern mathematics?

Number theory, algebra, geometry, and analysis Signup and view all the answers

What is the primary method of mathematical activity?

The discovery of properties of abstract objects and the use of pure reason to prove them Signup and view all the answers

What does a proof in mathematics consist of?

A succession of applications of deductive rules to already established results Signup and view all the answers

In which areas is mathematics essential?

Natural sciences, engineering, medicine, finance, computer science, and social sciences Signup and view all the answers

Are the fundamental truths of mathematics dependent on scientific experimentation?

No, the fundamental truths of mathematics are independent from any scientific experimentation Signup and view all the answers