Elwyn R. Berlekamp, John H. Conway, Richard K. Guy

Winning Ways for Your Mathematical Plays

In the quarter of a century since three mathematicians and game theorists collaborated to
create Winning Ways for Your Mathematical Plays, the book has become the definitive
work on the subject of mathematical games. Now carefully revised and broken down into
four volumes to accommodate new developments, the Second Edition retains the original's
wealth of wit and wisdom. The authors・insightful strategies, blended with their witty and
irreverent style, make reading a profitable pleasure.

In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect"games of
varied structures and formats in order to develop winning strategies.

From the Table of Contents: Whose Game? ・Finding the Correct Number is Simplicity Itself ・Some
Hard Games and How to Make Them Easier ・Taking and Breaking ・Numbers, Nimbers, and Numberless
Wonders ・The Heat of Battle ・It's a Small, Small, Small, Small World

Year: 2001 ISBN: 1-56881-130-6
296 pages. Paperback.


In Volume 2, the authors have a Change of Heart, bending the rules established in Volume
1 to apply them to games such as Cut-cake and Loopy Hackenbush.

From the Table of Contents: If You Can't Beat 'Em, Join 'Em! ・Hot Bottles Followed by
Cold Wars ・Games Infinite and Indefinite ・Games Eternal宥ames Entailed ・Survival in
the Lost World

Year: 2001 ISBN: 1-56881-142-X
200 pages. Paperback.

In Volume 3, the authors examine Games played in Clubs, giving case studies for coin and
paper-and-pencil games, such as Dots-and-Boxes and Nimstring.

From the Table of Contents: Turn and Turn About; Chips and Strips; Dots-and-Boxes;
Spots and Sprouts; The Emperor and His Money; The King and the Consumer; Fox and
Geese; Hare and Hounds; Lines and Squares

Year: 2001 ISBN: 1-56881-143-8
275 pages. Paperback.

In Volume 4, the authors present a Diamond of a find, covering one-player games such as
Solitaire.

From the Table of Contents: Purging Pegs Properly ・Pursuing Puzzles Purposefully ・What
is Life?

Year: 2001 ISBN: 1-56881-144-6
150 pages. Paperback.

Joseph R. Shoenfield

Mathematical Logic

This classic introduction to the main areas of mathematical logic provides the basis for a
first graduate course in the subject. It embodies the viewpoint that mathematical logic is
not a collection of vaguely related results, but a coherent method of attacking some of the
most interesting problems, which face the mathematician. The author presents the basic
concepts in an unusually clear and accessible fashion, concentrating on what he views as
the central topics of mathematical logic: proof theory, model theory, recursion theory,
axiomatic number theory, and set theory. There are many exercises, and they provide the
outline of what amounts to a second book that goes into all topics in more depth. This
book has played a role in the education of many mature and accomplished researchers.

Year: 2001 ISBN: 1-56881-135-7
356 pages. Paperback.

Bruce Berndt at al., editors

Number Theory for the Millennium III:
The Millennial Conference on Number Theory

Building on the tradition of an outstanding series of conferences at the University of Illinois at
Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium
with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams.
The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

Year: 2001 ISBN: 1-56881-152-7

400 pages. Hardcover.