10 Questions
What is the narrower and more technical meaning of the word 'mathematics'?
The study of arithmetic and geometry
Which area of mathematics had no practical application before its use in the RSA cryptosystem?
Integer factorization
In Greek mathematics, which concept first appeared notably in Euclid's Elements?
Proof and mathematical rigour
What did the Pythagoreans constrain the use of the word 'mathēmatikoi' to mean?
Learners of arithmetic and geometry
What did the term 'mathematics' more commonly mean in Latin and in English until around 1700?
Astrology
What are the major subdisciplines represented in modern mathematics?
Number theory, algebra, geometry, and analysis
What is the primary method of mathematical activity?
The discovery of properties of abstract objects and the use of pure reason to prove them
What does a proof in mathematics consist of?
A succession of applications of deductive rules to already established results
In which areas is mathematics essential?
Natural sciences, engineering, medicine, finance, computer science, and social sciences
Are the fundamental truths of mathematics dependent on scientific experimentation?
No, the fundamental truths of mathematics are independent from any scientific experimentation
Explore the diverse topics and subdisciplines within the field of mathematics, including numbers, formulas, structures, shapes, spaces, and quantities. Learn about the major subdisciplines of number theory, algebra, geometry, and analysis, and the varied mathematical activities.
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