Pillars of Transcendental Number Theory

1. Preliminaries.- 2. e and pi are Transcendental.- 3. Theorem of Hermite-Lindemann-Weierstrass.- 4. Theorem of Gelfond and Schneider.- 5. Extensions due to Ramachandra.- 6. Diophantine Approximation and Transcendence.- 7. Roth's Theorem.- 8. Baker's Theorems and some Applications.- 9. Ground Work for the Proof of Baker's theorem.- 10. Proof of Baker's Theorem.- 11. Subspace Theorem and Some Applications.