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