Introduction to Transcendental Number Theory (part 1/8)

By Michel Waldschmidt

• Diophantine approximation
• height
• Transcendental numbers
• effective methods
• algebraic independence
• Schanuel Conjecture
• Theorem of Hermite-Lindemann
• Theorem of Gelfond-Schneider
• Theorem of Baker
• Schneider-Lang Criterion
• Liouville inequality
• Dirichlet's box principle
• Schwarz's Lemma
• Thue-Siegel-Roth Theorem
• Schmidt's Subspace Theorem
• E and G functions
• Mahler's Method