Non-aqueous acid-base titrimetry uses solvents other than water to titrate weakly acidic or basic substances, providing sharp endpoints and enabling titration of insoluble materials. The document outlines theories of acids and bases (Arrhenius, Bronsted-Lowry, Lewis) and details various non-aqueous solvents and titrants used in titrations, including methods for standardization. It emphasizes that the behavior of acids and bases varies significantly with the solvent, which affects their strength and the detection of endpoints.