The word analytical is an adjective that means "pertaining to or skilled in analysis, which is the separation of materials or ideas into separate parts for the purpose of studying them separately and in conjunction with each other." An analytical mind is one that is both logical and detail-oriented.
The base verb associated with "analytical" is analyze. To analyze means to examine carefully for the purpose of coming to some conclusion. Analytical methods are critical to a number of topics ranging from science and math to arts and language. Analytical thinking requires a higher order of thinking skills, after knowledge, comprehension and application. A more commonly used form of analytical is analytic.