The Man Who Knew Infinity Index

| Concept | Where Discussed | Plain Meaning | |---------|----------------|----------------| | | Ch. 11–12 | Number of ways to break an integer into sums (e.g., 5 = 5, 4+1, 3+2, etc.) | | Mock theta functions | Ch. 15 | Mysterious series Ramanujan discovered in his last year | | Highly composite numbers | Ch. 8 | Numbers with more divisors than any smaller number | | Modular forms | Ch. 16 | Symmetric functions used in number theory & string theory | | Continued fractions | Ch. 5, 7 | Infinite nested fractions; Ramanujan’s intuition was extraordinary | | Taxicab number (1729) | Ch. 7 | “The smallest number expressible as sum of two cubes in two ways” (Hardy anecdote) | | Ramanujan’s notebooks | Ch. 3, 19 | Three notebooks (and a “lost notebook”) containing thousands of theorems, mostly unproven |

This is the largest section, often broken into sub-entries such as: the man who knew infinity index

As you page through the book—from the slow‑moving Cauvery River of Ramanujan’s childhood to the huddled rooms of Trinity College, from the aching loneliness of a foreign shore to the quiet dignity of his final letters—the index stands ready to help you find your way again. In a story about a man who reached for the infinite, a well‑made index is the finite tool that makes the journey possible. | Concept | Where Discussed | Plain Meaning