| Introduction |
                | The Irrationality of Pi and Various Trigonometric Values |
                | The Irrationality of log 2 (the natural logarithm) |
                |     OR The Revised Irrationality of log 2 (the natural logarithm) |
                | The Irrationality of Zeta(3) |
                | The Beginnings of Transcendental Numbers |
                | The Transcendence of E and Pi |
                | Lindemann's Theorem |
                | The Gelfond-Schneider Theorem and Some Related Results |
                | Weyl's Theorem |
                | A Theorem of Mahler |
                | Some Applications |