《數論4：超越數》由科學出版社出版，作者為(俄羅斯)帕爾申 (Parshin.A.N.) (俄羅斯)I.R.Shafarevich。
基本介紹
- 原版名稱： Number Theory Ⅳ: Transcendental Numbers
- ISBN：9787030235084
- 頁數：345頁
- 出版社： 科學出版社
- 出版時間：第1版 (2009年1月1日)
- 開本：16
圖書信息,作者簡介,內容簡介,
圖書信息
出版社: 科學出版社; 第1版 (2009年1月1日)
外文書名: Number Theory Ⅳ: Transcendental Numbers
叢書名: 國外數學名著系列（續一）（影印版）65
精裝: 345頁
正文語種: 英語
開本: 16
ISBN: 9787030235084
條形碼: 9787030235084
尺寸: 24 x 17.2 x 2.2 cm
重量: 680 g
作者簡介
作者：(俄羅斯)帕爾申 (Parshin.A.N.) (俄羅斯)I.R.Shafarevich
內容簡介
《數論4:超越數(影印版)》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.
