Explanation:

- The art of beautiful handwriting is best expressed as Calligraphy.

- Calligraphy (Option 1): This is the correct term. It specifically refers to the decorative art of writing and creating visually appealing letters.

- Monography (Option 2): This isn't related to handwriting. It's a detailed written study on a single specialized subject or aspect of a subject.

- Epigraphy (Option 3): This involves the study of inscriptions or epigraphs. It's about analyzing ancient writings on hard surfaces, not about handwriting art.

- Catastrophe (Option 4): This is completely unrelated. It means a disaster or calamity.