Primarily an advanced study of the modern theory of transcendental and algebraic numbers, this treatment by a distinguished Soviet mathematician focuses on the theory's fundamental methods. The text also chronicles the historical development of the theory's methods and explores the connections with other problems in number theory. The problem of approximating algebraic numbers is also studied as a case in the theory of transcendental numbers.
Topics include the Thue-Siegel theorem, the Hermite-Lindemann theorem on the transcendency of the exponential function, and the work of C. Siegel on the transcendency of the Bessel functions and of the solutions of other differential equations. The final chapter considers the Gelfond-Schneider theorem on the transcendency of alpha to the power beta. Each proof is prefaced by a brief discussion of its scheme, which provides a helpful guide to understanding the proof's progression.
Topics include the Thue-Siegel theorem, the Hermite-Lindemann theorem on the transcendency of the exponential function, and the work of C. Siegel on the transcendency of the Bessel functions and of the solutions of other differential equations. The final chapter considers the Gelfond-Schneider theorem on the transcendency of alpha to the power beta. Each proof is prefaced by a brief discussion of its scheme, which provides a helpful guide to understanding the proof's progression.
Betaal eenvoudig met kaart, Klarna, Apple Pay of Google Pay. Niet tevreden? Je hebt altijd 14 dagen bedenktijd. Lees meer in onze voorwaarden. Heb je vragen, mail ons dan via hello@memmo.org.
Memmo maakt studeren makkelijker – waar je ook bent ter wereld. Wij brengen je cursusboeken en slimme studietools samen op één plek: samenvattingen, quizzen, podcasts en flashcards. En Ted, je studievriend die antwoord geeft op alles wat je je afvraagt. Meer dan 50.000 studenten studeren hier al – gebouwd om je sneller te laten leren en minder stress te geven.
Misschien vind je dit ook leuk
Koop het boek0