(特价书)数论中未解决的问题(第3版)

    书籍
    数学书籍
数学因新的问题的出现而保持活力，问题来源于数学自身，也来自日益增多的需要运用数学的各种学科。本书含有大量或许不易解决但浅显易懂的问题，这些问题可被数学素养程度不等的数学家在不同的深度上加以研究。新版添加了关于对称素数和非对称素数、高阶幂求和、丢番图多元组、康韦RATS及回文数等方面的问题。在某些章节之后，作者还添加了非常有用而特别的部分：在OEIS(Neil Sloane的整数列的网上百科全书)中可查到的参考文献。...

Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Glossary of Symbols
Introduction
A. Prime Numbers
B. Divisibility
C. Additive Number Theory
D. Diophantine Equations
E. Sequences of Integers
F. None of the Above
Index of Authors Cited
General Index ...

　　After 10 years (or should I say 4000 years?) what's new? Too much to accommodate here, even though we've continued to grow exponentially. Sections A20, C21, D29 and F32 have been added, and existing sections expanded. The bibliographies are no doubt one of the more useful aspects of the book, but have become so extensive in some places that occasionalreluctant pruning has taken place, leaving the reader to access secondary, but at least more accessible, sources. .
　　A useful new feature is the lists, at the ends of about half of the sections, of references to OEIS, Neil Sloane's Online Encyclopedia of Integer Sequences. Many thanks to Neil for his suggestion, and for his help with its implementation. As this is a first appearance, many sequences will be missing that ought to be mentioned, and a few that are may be inappropriately placed. As more people make use of this important resource, I hope that they will let me have a steady stream of further suggestions.
　　I get a great deal of pleasure from the interest that so many people have shown, and consequently the help that they provide. This happens so often that it is impossible to acknowledge all of it here. Many names are mentioned in earlier prefaces. I especially miss Dick Lehmer, Raphael Robinson and Paul Erd6s [the various monetary rewards he offered may still be negotiable via Ron Graham]. ..
　　Renewed thanks to those mentioned earlier and new or renewed thanks to Stefan Barrels, Mike Bennett, David Boyd, Andrew Bremner, Kevin Brown, Kevin Buzzard, Chris Caldwell, Phil Carmody, Henri Cohen, Karl Dilcher, Noam Elkies, Scott Forrest, Dean Hickerson, Dan Hoey, Dave Hough, Florian Luca, Ronald van Luijk, Greg Martin, Jud McCranie, Pieter Moree, Gerry Myerson, Ed Pegg, Richard Pinch, Peter Pleasants, Carl Pomerance, Randall Rathbun, Herman te Riele, John Robertson, Rainer Rosenthal, Renate Scheidler, Rich Schroeppel, Jamie Simpson, Neil Sloane, Jozsef Solymosi, Cam Stewart, Robert Styer, Eric Weisstein, Hugh Williams, David W. Wilson, Robert G. Wilson, Paul Zimmerman, Rita Zuazua: and apologies to those who are omitted.
　　A special thankyou to Jean-Martin Albert for resuscitating Andy Guy's programme. I am also grateful to the Natural Sciences & Engineering Research Council of Canada for their ongoing support, and to the Department of Mathematics & Statistics of'The University of Calgary for having extended their hospitality twenty-one years after retirement. I look forward to the next twenty-one. And thank you to Springer, and to Ina Lindemann and Mark Spencer in particular, for continuing to maintain excellence in both their finished products and their personal relationships. ...
　　Calgary 2003-09-16 Richard K. Guy