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Book Freeshipping Transcendental Numbers

Posted at: Offers to Sell and Export | Posted on: Mon 07 Jun, 2010 1:22 am | Product Category: Reference books [3760]
book freeshipping transcendental numbers
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Number Theory4: Transcendental Numbers, by Parshin.A.N and I.R.Shafarevich, English, Hardcover, 2009



Author Parshin.A.N and I.R.Shafarevich

Press Science Press

Isbn 7030235088/9787030235084

Publication Date Jan 2009

Pages 345

Size 16K

Edition First

Cover Hardcover

Language English

Page material gelatine plate paper

Product Description:

This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers,especially those,that arise as the values of special functions. Questions of this sort go back to ancient times. An example is the old problem of squaring the circle,which Lindemann showed to bc impossible in 1882,when hc proved that Pi is a trandental number. Euler's conjecture that the logarithm of an algebraic number to an algebraic base is transcendental was included in Hilbert's famous list of open problems; this conjecture was proved by Gel'fond and Schneider in 1934. A more recent result was Anerv's surprising proof of the irrationality of ξ(3)in 1979.

The quantitative aspects of the theory have important applications to the study of Diophantine equations and other areas of number theory. For a reader interested in different branches of number theory,this monograph provides both an overview of the central ideas and techniques of transcendental number theory,and also a guide to the most important results and references.

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