PrepTest 51, Section 3, Question 5
The area of mathematics called "gauge field theory," though investigated in the nineteenth century, has only relatively recently been applied to problems in contemporary quantum mechanics. Differential geometry, another area of mathematics, was investigated by Gauss in the early nineteenth century, long before Einstein determined that one of its offspring, tensor analysis, was the appropriate mathematics for exploring general relativity.
The area of mathematics called "gauge field theory," though investigated in the nineteenth century, has only relatively recently been applied to problems in contemporary quantum mechanics. Differential geometry, another area of mathematics, was investigated by Gauss in the early nineteenth century, long before Einstein determined that one of its offspring, tensor analysis, was the appropriate mathematics for exploring general relativity.
The area of mathematics called "gauge field theory," though investigated in the nineteenth century, has only relatively recently been applied to problems in contemporary quantum mechanics. Differential geometry, another area of mathematics, was investigated by Gauss in the early nineteenth century, long before Einstein determined that one of its offspring, tensor analysis, was the appropriate mathematics for exploring general relativity.
The area of mathematics called "gauge field theory," though investigated in the nineteenth century, has only relatively recently been applied to problems in contemporary quantum mechanics. Differential geometry, another area of mathematics, was investigated by Gauss in the early nineteenth century, long before Einstein determined that one of its offspring, tensor analysis, was the appropriate mathematics for exploring general relativity.
Which one of the following is best illustrated by the examples presented above?
Applications of some new theories or techniques in mathematics are unrecognized until long after the discovery of those theories or techniques.
Mathematicians are sometimes able to anticipate which branches of their subject will prove useful to future scientists.
The discoveries of modern physics would not have been possible without major mathematical advances made in the nineteenth century.
The nineteenth century stands out among other times as a period of great mathematical achievement.
Mathematics tends to advance more quickly than any of the physical sciences.
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