Final answer:
A mathematician best illustrates Sternberg's analytical intelligence by applying critical thinking and logical reasoning to systematically analyze and solve complex equations.
Step-by-step explanation:
The person who best illustrates Sternberg's concept of analytical intelligence would be A) A mathematician solving complex equations. Analytical intelligence, as defined by Sternberg in his triarchic theory of intelligence, involves the ability to analyze, evaluate, judge, compare, and contrast. It is closely tied to academic problem-solving and computations, such as those involved in mathematical challenges.
Analytical intelligence is crucial when one needs to deconstruct a problem into its component parts, use critical thinking skills, and apply logical reasoning to arrive at a solution, which is precisely what mathematicians do. They analyze and work through complex problems systematically, often segmenting them into more manageable parts and solving them step by step.