this excellent book records the main achievements which include the following: methods for giving accurate approximate solutions of cubic equations ; work with the binomial theorem ; ulugh beg's accurate tables of sines and tangents correct to eight decimal places; formulae of spherical trigonometry; and of particular importance, ulugh beg's catalogue of the stars, the first comprehensive stellar catalogue since that of ptolemy .

How would the previous sentence be correctly capitalized?
Answer: This excellent book records the main achievements which include the following: methods for giving accurate approximate solutions of cubic equations ; work with the binomial theorem ; Ulugh Beg's accurate tables of sines and tangents correct to eight decimal places; formulae of spherical trigonometry; and of particular importance, Ulugh Beg's Catalogue of the stars, the first comprehensive stellar catalogue since that of Ptolemy .
the program displays statistics about the computer in its core interface.

How would the previous sentence be correctly capitalized?
Answer: The program displays statistics about the computer in its core interface.
and this is why it is often wise to combine the skills of a specialist translator of a certain domain with the skills of a linguistically competent editor.

How would the previous sentence be correctly capitalized?
Answer: And this is why it is often wise to combine the skills of a specialist translator of a certain domain with the skills of a linguistically competent editor.
you will first have some home study with the padi deep diver manual.

How would the previous sentence be correctly capitalized?
Answer: You will first have some home study with the Padi Deep diver manual.