The Little Book of Bigger Primes by Paulo Ribenboim (English) Paperback Book

Description: The Little Book of Bigger Primes by Paulo Ribenboim He is the author of 13 books and more than 150 research articles.From the reviews of the First Edition:Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queens University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Polya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition:Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. (Andrew Granville, Zentralblatt) Notes A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers.Paulo Ribenboim is Professor Emeritus at Queens University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Pólya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles.From the reviews of the First Edition:Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas.- Andrew Granville, ZentralblattRibenboim is a rare creature - an academic who writes in an unstuffy way - and his book gives an overview of what is currently known about primes.- Robert Matthews, The Sunday Telegraph...This genially reader-friendly tour de force, by a scientist with an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyones bookshelf.- John H. Halton, American Scientist Back Cover A deep understanding of prime numbers is one of the great challenges in mathematics. In this book, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queens University in Canada, Fellow of the Royal Society of Canada, and recipient of the George P Author Biography Ribenboim, Queens University, Ontario, Canada. Table of Contents How Many Prime Numbers Are There?.- How to Recognize Whether a Natural Number is a Prime.- Are There Functions Defining Prime Numbers?.- How Are the Prime Numbers Distributed?.- Which Special Kinds of Primes Have Been Considered?.- Heuristic and Probabilistic Results About Prime Numbers. Review From the reviews of the second edition:P. RibenboimThe Little Book of Big Primes"Everyone has at one time or another taken an interest, however fleeting, in prime numbers . . . Ribenboim, however, is clearly a prime nut, and this excellent, good-humored book is written for other (actually or potentially) incurable aficionados . . . it is a masterly presentation . . . This genially reader-friendly tour de force, by a scientist whit an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyones bookshelf."—AMERICAN SCIENTIST"The book presents a wealth of material and references on fundamental theorems, challenging open problems, and the most recent computational records in a language without secrets." (Zentralblatt fÜr Didaktik und Mathematik, November, 2004)"This book is the substantially expanded and updated second edition of the 1991 Little book of big primes. … The authors thorough knowledge of and passion for primes comes through clearly. Most of the book is accessible even to interested amateurs or undergraduate students … . At the same time, a specialist can also find it useful to have so many results, open problems and references collected together." (Gábor Megyesi, Acta Scientiarum Mathematicarum, Vol. 72, 2006)"One could say that Paul Ribenboim created a new genre of mathematical writing with the publication of The Book of Prime Number Records.. … This together with the authors charming style, made it a success. The book under review is the abridged version of its successor The New Book of Prime Number Records. … The reviewer believes that this book really has the fatal attraction its author wishes it to exert." (Ch. Baxa, Monatshefte fÜr Mathematik, Vol. 148 (1), 2006)"This is a book of well documented records. … But this is a book of much more than records, providing as good an introductionas any to the theory of primes … . The first edition of the book appeared in 1991 … . It is here expanded and updated … . Throughout the book history, theory, specific cases and other results are woven into a compact but comprehensive presentation. A most useful resource for both teaching and research into the prime numbers." (Alan Sutcliffe, The Mathematical Gazette, Vol. 89 (516), 2005)"The style of the book seems to stay with us: lucid, witting and very absorbing to both your time as well as your computers. Theories are introduced and explained well … . this is also fun reading for non-programming mathematicians … ." (Pieter Audenaert, Bulletin of the Belgian Mathematical Society, 2009) Promotional Springer Book Archives Long Description A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queens University in Canada, Fellow of the Royal Society of Canada, and recipient of the George P Review Text From the reviews of the second edition: P. Ribenboim The Little Book of Big Primes "Everyone has at one time or another taken an interest, however fleeting, in prime numbers . . . Ribenboim, however, is clearly a aprime nut,a? and this excellent, good-humored book is written for other (actually or potentially) incurable aficionados . . . it is a masterly presentation . . . This genially reader-friendly tour de force, by a scientist whit an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyoneas bookshelf."a? AMERICAN SCIENTIST "The book presents a wealth of material and references on fundamental theorems, challenging open problems, and the most recent computational records in a language without secrets." (Zentralblatt fr Didaktik und Mathematik, November, 2004) "This book is the substantially expanded and updated second edition of the 1991 a?Little book of big primesa?. a? The authoras thorough knowledge of and passion for primes comes through clearly. Most of the book is accessible even to interested amateurs or undergraduate students a? . At the same time, a specialist can also find it useful to have so many results, open problems and references collected together." (G?!bor Megyesi, Acta Scientiarum Mathematicarum, Vol. 72, 2006) "One could say that Paul Ribenboim created a new genre of mathematical writing with the publication of a?The Book of Prime Number Records.a?. a? This together with the authoras charming style, made it a success. The book under review is the abridged version of its successor a?The New Book of Prime Number Records.a? a? The reviewer believes that this book really has the afatal attractiona? its author wishes it to exert." (Ch. Baxa, Monatshefte fr Mathematik, Vol. 148 (1), 2006) "This is a book of well documented records. a? But this is a book of much more than records, providing as good an introduction as any to the theory of primes a? . The first edition of the book appeared in 1991 a? . It is here expanded and updated a? . Throughout the book history, theory, specific cases and other results are woven into a compact but comprehensive presentation. A most useful resource for both teaching and research into the prime numbers." (Alan Sutcliffe, The Mathematical Gazette, Vol. 89 (516), 2005) Review Quote From the reviews of the second edition:P. RibenboimThe Little Book of Big Primes"Everyone has at one time or another taken an interest, however fleeting, in prime numbers . . . Ribenboim, however, is clearly a prime nut, and this excellent, good-humored book is written for other (actually or potentially) incurable aficionados . . . it is a masterly presentation . . . This genially reader-friendly tour de force, by a scientist whit an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyones bookshelf."-AMERICAN SCIENTIST"The book presents a wealth of material and references on fundamental theorems, challenging open problems, and the most recent computational records in a language without secrets." (Zentralblatt fÜr Didaktik und Mathematik, November, 2004)"This book is the substantially expanded and updated second edition of the 1991 Little book of big primes. … The authors thorough knowledge of and passion for primes comes through clearly. Most of the book is accessible even to interested amateurs or undergraduate students … . At the same time, a specialist can also find it useful to have so many results, open problems and references collected together." (Gábor Megyesi, Acta Scientiarum Mathematicarum, Vol. 72, 2006)"One could say that Paul Ribenboim created a new genre of mathematical writing with the publication of The Book of Prime Number Records.. … This together with the authors charming style, made it a success. The book under review is the abridged version of its successor The New Book of Prime Number Records. … The reviewer believes that this book really has the fatal attraction its author wishes it to exert." (Ch. Baxa, Monatshefte fÜr Mathematik, Vol. 148 (1), 2006)"This is a book of well documented records. … But this is a book of much more than records, providing as good an introduction as any to the theory of primes … . The first edition of the book appeared in 1991 … . It is here expanded and updated … . Throughout the book history, theory, specific cases and other results are woven into a compact but comprehensive presentation. A most useful resource for both teaching and research into the prime numbers." (Alan Sutcliffe, The Mathematical Gazette, Vol. 89 (516), 2005)The style of the book seems to stay with us: lucid, witting and very absorbing to both your time as well as your computers. Theories are introduced and explained well … . this is also fun reading for non-programming mathematicians … . (Pieter Audenaert, Bulletin of the Belgian Mathematical Society, 2009) Feature Includes supplementary material: sn.pub/extras Description for Sales People A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queens University in Canada, Fellow of the Royal Society of Canada, and recipient of the George P Details ISBN0387201696 Author Paulo Ribenboim Language English Edition 2nd ISBN-10 0387201696 ISBN-13 9780387201696 Media Book Format Paperback Abridged Yes Year 2004 Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States Residence Kingston, Ontario, -CN Short Title LITTLE BK OF BIGGER PRIMES 200 Replaces 9780387975085 Pages 356 DOI 10.1007/b12618;10.1007/b97621;10.1007/978-0-387-21820-5 UK Release Date 2004-01-08 AU Release Date 2004-01-08 NZ Release Date 2004-01-08 US Release Date 2004-01-08 Publisher Springer-Verlag New York Inc. Edition Description 2nd ed. 2004 Publication Date 2004-01-08 DEWEY 512.72 Illustrations XXIII, 356 p. 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