Transcendental Numbers

by M. Ram Murty and Purusottam Rath

1. Liouville's theorem.- 2. Hermite's Theorem.- 3. Lindemann's theorem.- 4. The Lindemann-Weierstrass theorem.- 5. The maximum modulus principle.- 6. Siegel's lemma.- 7. The six exponentials theorem.- 8. Estimates for derivatives.- 9. The Schneider-Lang theorem.- 10. Elliptic functions.- 11. Transcendental values of elliptic functions.- 12. Periods and quasiperiods.- 13. Transcendental values of some elliptic integrals.- 14. The modular invariant.-...

• Format: Paperback
• Language: English
• ISBN: 1493908316
• ISBN13: 9781493908318
• Release Date: June 2014
• Publisher: Springer
• Length: 217 Pages
• Weight: 0.73 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"