內容簡介
數學因新的問題的齣現而保持活力,問題來源於數學自身,也來自日益增多的需要運用數學的各種學科。《國外數學名著係列(影印版)29:數論中未解決的問題(第三版)》含有大量或許不易解決但淺顯易懂的問題,這些問題可被數學素養程度不等的數學傢在不同的深度上加以研究。新叛添加瞭關於對稱素數和非對稱素數、高階冪求和、丟番圖多元組、康韋RATS及迴文數等方麵的問題。在某些章節之後,作者還添加瞭非常有用而特彆的部分:在OEIS(NeilSloane的整數列的網上百科全書)中可查到的參考文獻。
內頁插圖
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
前言/序言
國外數學名著係列(影印版)29:數論中未解決的問題(第三版) [Unsolved Problems in Number Theory(Third Edition)] epub pdf mobi txt 電子書 下載 2024
國外數學名著係列(影印版)29:數論中未解決的問題(第三版) [Unsolved Problems in Number Theory(Third Edition)] 下載 epub mobi pdf txt 電子書
國外數學名著係列(影印版)29:數論中未解決的問題(第三版) [Unsolved Problems in Number Theory(Third Edition)] mobi pdf epub txt 電子書 下載 2024
國外數學名著係列(影印版)29:數論中未解決的問題(第三版) [Unsolved Problems in Number Theory(Third Edition)] epub pdf mobi txt 電子書 下載 2024