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數(shù)論中未解決的問(wèn)題(第三版)

數(shù)論中未解決的問(wèn)題(第三版)

定 價(jià):¥78.00

作 者: (加)蓋伊(Guy,R.K.) 著
出版社: 科學(xué)出版社
叢編項(xiàng): 國(guó)外數(shù)學(xué)名著系列 影印版29
標(biāo) 簽: 科學(xué)與自然 數(shù)論

ISBN: 9787030182937 出版時(shí)間: 2007-01-01 包裝: 膠版紙
開本: 16開 頁(yè)數(shù): 437 字?jǐn)?shù):  

內(nèi)容簡(jiǎn)介

  數(shù)學(xué)因新的問(wèn)題的出現(xiàn)而保持活力,問(wèn)題來(lái)源于數(shù)學(xué)自身,也來(lái)自日益增多的需要運(yùn)用數(shù)學(xué)的各種學(xué)科。本書含有大量或許不易解決但淺顯易懂的問(wèn)題,這些問(wèn)題可被數(shù)學(xué)素養(yǎng)程度不等的數(shù)學(xué)家在不同的深度上加以研究。新版添加了關(guān)于對(duì)稱素?cái)?shù)和非對(duì)稱素?cái)?shù)、高階冪求和、丟番圖多元組、康韋RATS及回文數(shù)等方面的問(wèn)題。在某些章節(jié)之后,作者還添加了非常有用而特別的部分:在OEIS(Neil Sloane的整數(shù)列的網(wǎng)上百科全書)中可查到的參考文獻(xiàn)。...

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圖書目錄

Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Glossary of Symbols
Introduction
A.Prime Numbers
A1.Prime values of quadratic functions.
A2.Primes connected with factorials.
A3.Mersenne primes.Repunits.Fermat numbers.Primes of shape k.2n+1.
A4.The prime number race.
A5.Arithmetic progressions of primes.
A6.Consecutive primes in A.P.
A7.Cunningham chains.
A8.Gaps between primes. Twin primes.
A9.Patterns of primes.
A10.Gilbreath's conjeoture.
A11.Increasing and decreasing gaps.
A12.Pseudoprimes.Euler pseudoprimes.Strong pseudoprimes.
A13.Carmichael numbers.
A14."Good"primes and the prime number graph.
A15.Congruent products of consecutive numbers.
A16.Gaussian and Eisenstien-Jacobi primes.
A17.Formulas for primes.
A18.The Erdos-Selfridge classification of primes.
A19.Values of n making n-2k prime.Odd numbers not of the form pa 2b
A20.Symmetric and asymmetric primes.
B.Divisibility
C.Additive Number Theory
D.Diophantine Equations
E.Sequences of Integers
F.None of the Above
Index of Authors Cited
General Index

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