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Cargando... Transcendental and algebraic numberspor A. O. Gelfond
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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. No se han encontrado descripciones de biblioteca. |
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Google Books — Cargando... GénerosSistema Decimal Melvil (DDC)512.815Natural sciences and mathematics Mathematics Algebra Formerly: Abstract algebra Formerly : Theory of numbers (see 521.1 Systems of arithmetic)Clasificación de la Biblioteca del CongresoValoraciónPromedio: No hay valoraciones.¿Eres tú?Conviértete en un Autor de LibraryThing. |