Number Theory IV

Transcendental Numbers

A.N. Parshin, Igor R. Shafarevich - Collection Encyclopaedia of Mathematical Sciences

346 pages, parution le 01/07/1999

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Résumé

This book is a survey of the most important directions of research in transcendental number theory - the theory of irrationality, transcendence, and algebraic independence of various numbers. There is a special emphasis on the transcendence properties of the values of special functions. The book contains few complete proofs, but rather gives conceptual discussions of the central ideas behind the proofs. For a reader who has no specific background in transcendental number theory the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.

L'auteur - Igor R. Shafarevich

Steklov Mathematical Institute, Moscow, Russia

Sommaire

Approximation of Algebraic Numbers
Effective Constructions in Transcendental Number
Theory
Hilbert's Seventh Problem
Chapter Multidimensional Generalization of Hilbert's
Seventh Problem
Values of Analytic Functions That Satisfy Linear
Differential Equations
Algebraic Independence of the Values of Analytic
Functions That Have an Addition Law

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	A.N. Parshin, Igor R. Shafarevich
Collection	Encyclopaedia of Mathematical Sciences
Parution	01/07/1999
Nb. de pages	346
Format	16 x 24
Couverture	Relié
Poids	640g
Intérieur	Noir et Blanc
EAN13	9783540614678