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Algebra: Quiz

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Question 1: The Persian mathematician ________ is credited with identifying the foundations of algebraic geometry and found the general geometric solution of the cubic equation.
Persian literatureAvicennaRumiOmar Khayyám

Question 2: Addition and ________ can be generalized and their precise definitions lead to structures such as groups, rings and fields.
Vector spaceDivision (mathematics)MultiplicationExponentiation

Question 3: ________ or more generally Algebra over a ring
Algebraic structureVector spaceAlgebra over a fieldMatrix (mathematics)

Question 4: George Gheverghese Joseph, The Crest of the Peacock: Non-European Roots of Mathematics (________, 2000).
Pearson PLCPearson EducationE. P. DuttonPenguin Books

Question 5: The Hellenistic mathematicians Hero of Alexandria and Diophantus [5] as well as Indian mathematicians such as ________ continued the traditions of Egypt and Babylon, though Diophantus' Arithmetica and Brahmagupta's Brahmasphutasiddhanta are on a higher level.
Bhāskara IAryabhataBrahmaguptaBhāskara II

Question 6: In some directions of advanced study, axiomatic algebraic systems such as groups, rings, fields, and algebras over a field are investigated in the presence of a geometric structure (a metric or a ________) which is compatible with the algebraic structure.
Category theoryAlgebraic topologyManifoldTopology

Question 7: The word algebra is also used for various ________:
Group (mathematics)Vector spaceAlgebraic structureRing (mathematics)

Question 8: Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and ________.
Group (mathematics)Algebraic structureVector spaceRing (mathematics)

Question 9: The nonzero ________ form a group under multiplication.
Irrational numberReal numberIntegerRational number

Question 10: The integers have additional properties which make it an ________.
Field (mathematics)Commutative ringPrime numberIntegral domain







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