Winning Ways for Your Mathematical Plays

Author: Elwyn R. Berlekamp

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 212

View: 494

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 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--Games Entailed - Survival in the Lost World

Winning Ways, for Your Mathematical Plays: Games in particular

Author: Elwyn R. Berlekamp

Publisher: Academic Pr

ISBN:

Category: Education

Page: 422

View: 309

Winning Ways includes several theories for a wide range of different compounds which are described in detail in the first volume, Games in General. In this volume, Games in Particular, there is a dazzling presentation of the examples: any game which presents an opportunity for witty and original comment has been included. The analyses start with basic theory using simple examples, but progress to detailed case-studies of well-known games ranging from the elementary to the elaborate and including Tic-Tac-Toe, Dots-and-Boxes, Hackenbush, Peg Solitaire and the maddening Hungarian cube puzzle.

Exam Prep for: Winning Ways for Your Mathematical Plays, Volume 2

Author: Dave Mason

Publisher: Rico Publications

ISBN:

Category:

Page:

View: 591

5,600 Exam Prep questions and answers. Ebooks, Textbooks, Courses, Books Simplified as questions and answers by Rico Publications. Very effective study tools especially when you only have a limited amount of time. They work with your textbook or without a textbook and can help you to review and learn essential terms, people, places, events, and key concepts.

Exam Prep for: Winning Ways for Your Mathematical Plays: Volume 1

Author: Dave Mason

Publisher: Rico Publications

ISBN:

Category:

Page:

View: 941

5,600 Exam Prep questions and answers. Ebooks, Textbooks, Courses, Books Simplified as questions and answers by Rico Publications. Very effective study tools especially when you only have a limited amount of time. They work with your textbook or without a textbook and can help you to review and learn essential terms, people, places, events, and key concepts.

The Mathematics of Games

Author: John D. Beasley

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 176

View: 712

Lucid, instructive, and full of surprises, this book examines how simple mathematical analysis can throw unexpected light on games of every type, from poker to golf to the Rubik's cube. 1989 edition.

Combinatorial Game Theory

Author: Aaron N. Siegel

Publisher: American Mathematical Soc.

ISBN:

Category: Mathematics

Page: 523

View: 311

Combinatorial game theory is the study of two-player games with no hidden information and no chance elements. The theory assigns algebraic values to positions in such games and seeks to quantify the algebraic and combinatorial structure of their interactions. Its modern form was introduced thirty years ago, with the publication of the classic Winning Ways for Your Mathematical Plays by Berlekamp, Conway, and Guy, and interest has rapidly increased in recent decades. This book is a comprehensive and up-to-date introduction to the subject, tracing its development from first principles and examples through many of its most recent advances. Roughly half the book is devoted to a rigorous treatment of the classical theory; the remaining material is an in-depth presentation of topics that appear for the first time in textbook form, including the theory of misère quotients and Berlekamp's generalized temperature theory. Packed with hundreds of examples and exercises and meticulously cross-referenced, Combinatorial Game Theory will appeal equally to students, instructors, and research professionals. More than forty open problems and conjectures are mentioned in the text, highlighting the many mysteries that still remain in this young and exciting field. Aaron Siegel holds a Ph.D. in mathematics from the University of California, Berkeley and has held positions at the Mathematical Sciences Research Institute and the Institute for Advanced Study. He was a partner at Berkeley Quantitative, a technology-driven hedge fund, and is presently employed by Twitter, Inc.

First Steps for Math Olympians

Using the American Mathematics Competitions

Author: J. Douglas Faires

Publisher: MAA

ISBN:

Category: Mathematics

Page: 307

View: 593

Provide students with the tools to solve problems that are found on mathematical problem-solving exams.

People, Problems, and Proofs

Essays from Gödel's Lost Letter: 2010

Author: Richard J. Lipton

Publisher: Springer Science & Business Media

ISBN:

Category: Computers

Page: 333

View: 257

People, problems, and proofs are the lifeblood of theoretical computer science. Behind the computing devices and applications that have transformed our lives are clever algorithms, and for every worthwhile algorithm there is a problem that it solves and a proof that it works. Before this proof there was an open problem: can one create an efficient algorithm to solve the computational problem? And, finally, behind these questions are the people who are excited about these fundamental issues in our computational world. In this book the authors draw on their outstanding research and teaching experience to showcase some key people and ideas in the domain of theoretical computer science, particularly in computational complexity and algorithms, and related mathematical topics. They show evidence of the considerable scholarship that supports this young field, and they balance an impressive breadth of topics with the depth necessary to reveal the power and the relevance of the work described. Beyond this, the authors discuss the sustained effort of their community, revealing much about the culture of their field. A career in theoretical computer science at the top level is a vocation: the work is hard, and in addition to the obvious requirements such as intellect and training, the vignettes in this book demonstrate the importance of human factors such as personality, instinct, creativity, ambition, tenacity, and luck. The authors' style is characterize d by personal observations, enthusiasm, and humor, and this book will be a source of inspiration and guidance for graduate students and researchers engaged with or planning careers in theoretical computer science.