John Horton Conway's Books

Regular Algebra and Finite Machines

By: John Horton Conway

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Regular Algebra and Finite Machines

By: John Horton Conway

A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, Kleene algebras, the differential calculus of events, factors and the factor matrix, and the theory of operators. Additional subjects include context-free languages, communicative regular algebra, axiomatic questions, and logical problems. Solutions to problems. 1971 edition.

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Page Count

162

Publisher

Courier Corporation

Published Date

ISBN 10

0486485838

ISBN 13

9780486485836

The Book of Numbers

By: John H. Conway,Richard Guy

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The Book of Numbers

By: John H. Conway,Richard Guy

...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL

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313

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461240727

ISBN 13

9781461240723

The Book of Numbers

By: John H. Conway,Richard Guy

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The Book of Numbers

By: John H. Conway,Richard Guy

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313

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Springer Science & Business Media

Published Date

ISBN 10

1461240727

ISBN 13

9781461240723

Regular Algebra and Finite Machines

By: John Horton Conway

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Regular Algebra and Finite Machines

By: John Horton Conway

A world-famous mathematician explores Moore's theory of experiments, Kleene's theory of regular events and expressions, differential calculus of events, the factor matrix, theory of operators, much more. Solutions. 1971 edition.

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Page Count

162

Publisher

Courier Corporation

Published Date

ISBN 10

0486310582

ISBN 13

9780486310589

The Sensual (quadratic) Form

By: John Horton Conway

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The Sensual (quadratic) Form

By: John Horton Conway

John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures. The book should not be thought of as a serious textbook on the theory of quadratic forms. It consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The afterthoughts to the lectures contain discussion of related matters that occasionally presuppose greater knowledge.

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Page Count

167

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470448424

ISBN 13

9781470448424

Winning Ways for Your Mathematical Plays

Volume 1

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

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Winning Ways for Your Mathematical Plays

Volume 1

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

This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. 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.

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Page Count

296

Publisher

CRC Press

Published Date

ISBN 10

0429945558

ISBN 13

9780429945557

Winning Ways for Your Mathematical Plays, Volume 2

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

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Winning Ways for Your Mathematical Plays, Volume 2

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

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

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252

Publisher

CRC Press

Published Date

ISBN 10

0429945604

ISBN 13

9780429945601

The Life and Philosophy of Elizabeth Anscombe

By: John Haldane

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The Life and Philosophy of Elizabeth Anscombe

By: John Haldane

This volume in the St Andrews series contains a collection of essays from leading authors regarding the work of Elizabeth Anscombe, in particular issues in mind and metaphysics, and can be considered a partner work to 2016's The Moral Philosophy of Elizabeth Anscombe (also published by Imprint Academic Ltd.).

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Page Count

381

Publisher

Andrews UK Limited

Published Date

ISBN 10

1788360125

ISBN 13

9781788360128

Information Theory And Evolution (Third Edition)

By: John Scales Avery

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Information Theory And Evolution (Third Edition)

By: John Scales Avery

This highly interdisciplinary book discusses the phenomenon of life, including its origin and evolution, against the background of thermodynamics, statistical mechanics, and information theory. Among the central themes is the seeming contradiction between the second law of thermodynamics and the high degree of order and complexity produced by living systems. As the author shows, this paradox has its resolution in the information content of the Gibbs free energy that enters the biosphere from outside sources. Another focus of the book is the role of information in human cultural evolution, which is also discussed with the origin of human linguistic abilities. One of the final chapters addresses the merging of information technology and biotechnology into a new discipline — bioinformation technology.This third edition has been updated to reflect the latest scientific and technological advances. Professor Avery makes use of the perspectives of famous scholars such as Professor Noam Chomsky and Nobel Laureates John O'Keefe, May-Britt Moser and Edward Moser to cast light on the evolution of human languages. The mechanism of cell differentiation, and the rapid acceleration of information technology in the 21st century are also discussed.With various research disciplines becoming increasingly interrelated today, Information Theory and Evolution provides nuance to the conversation between bioinformatics, information technology, and pertinent social-political issues. This book is a welcome voice in working on the future challenges that humanity will face as a result of scientific and technological progress.

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Page Count

329

Publisher

World Scientific

Published Date

ISBN 10

9811250383

ISBN 13

9789811250385

Hack This

24 Incredible Hackerspace Projects from the DIY Movement

By: John Baichtal

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Hack This

24 Incredible Hackerspace Projects from the DIY Movement

By: John Baichtal

Presents instructions for creating and enhancing a variety of projects, including a sandwich-making robot, a Twitter-monitoring Christmas tree, and a bronze-melting blast furnace.

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Page Count

304

Publisher

Que Publishing

Published Date

ISBN 10

0789748975

ISBN 13

9780789748973

On Numbers and Games

By: John H. Conway

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On Numbers and Games

By: John H. Conway

ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

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Page Count

268

Publisher

CRC Press

Published Date

ISBN 10

1568811276

ISBN 13

9781568811277

Irreligion

A Mathematician Explains Why the Arguments for God Just Don't Add Up

By: John Allen Paulos

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Irreligion

A Mathematician Explains Why the Arguments for God Just Don't Add Up

By: John Allen Paulos

Are there any logical reasons to believe in God? Mathematician and bestselling author Paulos thinks not. In "Irreligion" he presents the case for his own worldview, organizing his book into 12 chapters that refute the 12 arguments most often put forward for believing in Gods existence.

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Page Count

180

Publisher

Macmillan

Published Date

ISBN 10

0809059185

ISBN 13

9780809059188

Loving and Hating Mathematics

Challenging the Myths of Mathematical Life

By: Reuben Hersh,Vera John-Steiner

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Loving and Hating Mathematics

Challenging the Myths of Mathematical Life

By: Reuben Hersh,Vera John-Steiner

An exploration of the hidden human, emotional, and social dimensions of mathematics Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions—and inspire more love and hatred—than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment—as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.

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Page Count

429

Publisher

Princeton University Press

Published Date

ISBN 10

1400836115

ISBN 13

9781400836116

Reality Rules, The Fundamentals

By: John Casti

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Reality Rules, The Fundamentals

By: John Casti

Die beiden ursprünglich 1992 veröffentlichten Bände liegen nun in zusammengefaßter Paperback-Form vor. Reality Rules beleuchten die Syntax und die Semantik der Sprache, in der mathematische Modellierungsregeln niedergelegt werden. Eine Vielzahl von Beispielen zeigt praktische Anwendungen auf; auch ein Lösungsband zur Unterstützung des Selbststudiums ist erhältlich.

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Page Count

414

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471184357

ISBN 13

9780471184355

Impossibility

The Limits of Science and the Science of Limits

By: John D. Barrow

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Impossibility

The Limits of Science and the Science of Limits

By: John D. Barrow

Astronomer John Barrow takes an intriguing look at the limits of science, who argues that there are things that are ultimately unknowable, undoable, or unreachable.

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Page Count

294

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0195130820

ISBN 13

9780195130829

On Quaternions and Octonions

By: John H. Conway,Derek A. Smith

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On Quaternions and Octonions

By: John H. Conway,Derek A. Smith

This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less f

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Page Count

128

Publisher

CRC Press

Published Date

ISBN 10

1000687775

ISBN 13

9781000687774

Flash of Genius

And Other True Stories of Invention

By: John Seabrook

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Flash of Genius

And Other True Stories of Invention

By: John Seabrook

Essays explore inspiration and entrepreneurship in everyday Americans, including the story of Bob Kearns, who invented the intermittent windshield wiper.

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Page Count

388

Publisher

Macmillan

Published Date

ISBN 10

0312535724

ISBN 13

9780312535728

History and Science of Knots

By: John Christopher Turner

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History and Science of Knots

By: John Christopher Turner

In view of the explosion of mathematical theories of knots in the past decade, with consequential applications, this book sets down a brief, fragmentary history of mankind's oldest and most useful technical and decorative device - the knot.

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Page Count

463

Publisher

World Scientific

Published Date

ISBN 10

9810224699

ISBN 13

9789810224691

Winning Ways for Your Mathematical Plays, Volume 3

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

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Winning Ways for Your Mathematical Plays, Volume 3

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

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 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

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Page Count

426

Publisher

CRC Press

Published Date

ISBN 10

0429945612

ISBN 13

9780429945618

PAUL HALMOS Celebrating 50 Years of Mathematics

Celebrating 50 Years of Mathematics

By: Paul Richard Halmos,John Ewing,F.W. Gehring

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PAUL HALMOS Celebrating 50 Years of Mathematics

Celebrating 50 Years of Mathematics

By: Paul Richard Halmos,John Ewing,F.W. Gehring

Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.

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336

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387975098

ISBN 13

9780387975092

Information Theory And Evolution (2nd Edition)

By: John Scales Avery

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Information Theory And Evolution (2nd Edition)

By: John Scales Avery

Information Theory and Evolution discusses the phenomenon of life, including its origin and evolution (and also human cultural evolution), against the background of thermodynamics, statistical mechanics, and information theory. Among the central themes is the seeming contradiction between the second law of thermodynamics and the high degree of order and complexity produced by living systems. This paradox has its resolution in the information content of the Gibbs free energy that enters the biosphere from outside sources, as the author will show. The role of information in human cultural evolution is another focus of the book.The first edition of Information Theory and Evolution made a strong impact on thought in the field by bringing together results from many disciplines. The new second edition offers updated results based on reports of important new research in several areas, including exciting new studies of the human mitochondrial and Y-chromosomal DNA. Another extensive discussion featured in the second edition is contained in a new appendix devoted to the relationship of entropy and Gibbs free energy to economics. This appendix includes a review of the ideas of Alfred Lotka, Frederick Soddy, Nicholas Georgiescu-Roegen and Herman E. Daly, and discusses the relevance of these ideas to the current economic crisis.The new edition discusses current research on the origin of life, the distinction between thermodynamic information and cybernetic information, new DNA research and human prehistory, developments in current information technology, and the relationship between entropy and economics.

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Page Count

277

Publisher

World Scientific

Published Date

ISBN 10

9814401250

ISBN 13

9789814401258

Cardano for the Masses

A financial operating system for people who don't have one

By: John Greene

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Cardano for the Masses

A financial operating system for people who don't have one

By: John Greene

*** Updated January 2024) *** Ada (ADA) is a native cryptocurrency that runs on Cardano, a third- generation, decentralized public blockchain that aims to protect user privacy, while remaining flexible for regulation. Cardano is spearheaded by Charles Hoskinson who began in crypto with his course Bitcoin or How I Learned to Stop Worrying and Love Crypto. He subsequently went on to be a co-founder of BitShares and Ethereum before co-founding Cardano in 2015. Cardano is named after Gerolamo Cardano, an influential mathematician in the Renaissance. The platform aims to solve three issues with traditional cryptocurrencies: Sustainability, Scalability & Interoperability. This book is mainly for Cardano newcomers. It does not go deep into the weeds of the technical research papers, nor explore concepts in great detail. The goal is to give a broad overview of Cardano with explainers from Everipedia and Charles Hoskinson quotes where relevant. "This is a super-impressive piece of work on #Cardano from John Greene. Congratulations. And thank you. Every self-respecting kindle (or bookshelf) needs to sport one this summer" - Tim Harrison, IOG VP Community & Ecosystem Communications "This is the Bible of Cardano" - Kristian Portz, NMKR COO "I love this book and you will too!" - Jason Appleton (Crypto Crow) "Thanks for making my dreams available to the masses" - Charles Hoskinson, IOG CEO & Founder For more details, see www.CardanoBook.com

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Page Count

252

Publisher

John Greene

Published Date

ISBN 13

9798823761123

Top-down Structured Programming Techniques

By: Clement L. McGowan,John R. Kelly

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Top-down Structured Programming Techniques

By: Clement L. McGowan,John R. Kelly

An introduction text to structured programming.

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Page Count

308

Published Date

ISBN 10

0884053040

ISBN 13

9780884053040

Sphere Packings, Lattices and Groups

By: John H. Conway,Neil J.A. Sloane

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Sphere Packings, Lattices and Groups

By: John H. Conway,Neil J.A. Sloane

The main themes. This book is mainly concerned with the problem of packing spheres in Euclidean space of dimensions 1,2,3,4,5, . . . . Given a large number of equal spheres, what is the most efficient (or densest) way to pack them together? We also study several closely related problems: the kissing number problem, which asks how many spheres can be arranged so that they all touch one central sphere of the same size; the covering problem, which asks for the least dense way to cover n-dimensional space with equal overlapping spheres; and the quantizing problem, important for applications to analog-to-digital conversion (or data compression), which asks how to place points in space so that the average second moment of their Voronoi cells is as small as possible. Attacks on these problems usually arrange the spheres so their centers form a lattice. Lattices are described by quadratic forms, and we study the classification of quadratic forms. Most of the book is devoted to these five problems. The miraculous enters: the E 8 and Leech lattices. When we investigate those problems, some fantastic things happen! There are two sphere packings, one in eight dimensions, the E 8 lattice, and one in twenty-four dimensions, the Leech lattice A , which are unexpectedly good and very 24 symmetrical packings, and have a number of remarkable and mysterious properties, not all of which are completely understood even today.

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