Prime Numbers and Their Distribution

Valutazione media 3,6
( su 5 valutazioni fornite da GoodReads )
 
9780821816479: Prime Numbers and Their Distribution

We have been curious about numbers--and prime numbers--since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness. There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers. The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more. Two separate chapters address the Riemann zeta function and its connections to number theory. In the first chapter, the familiar link between $\zeta(s)$ and the distribution of primes is covered with remarkable efficiency and intuition. The second chapter presents a walk through an elementary proof of the Prime Number Theorem. To help the novice understand the "'why" of the proof, connections are made along the way with more familiar results such as Stirling's formula. A most distinctive chapter covers the stochastic properties of prime numbers. The authors present a wonderfully clever interpretation of primes in arithmetic progressions as a phenomenon in probability. They also describe Cramér's model, which provides a probabilistic intuition for formulating conjectures that have a habit of being true. In this context, they address interesting questions about equipartition modulo $1$ for sequences involving prime numbers. The final section of the chapter compares geometric visualizations of random sequences with the visualizations for similar sequences derived from the primes. The resulting pictures are striking and illuminating. The book concludes with a chapter on the outstanding big conjectures about prime numbers. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians. This book is the English translation from the French edition.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

A wealth of information ... the exposition and the translation are excellent. ( MAA Monthly )

A wonderful book ... marvelous. ( MAA Online )

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

Edizione Internazionale
Edizione Internazionale

1.

GERALD TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Brossura Quantità: 10
Edizione Internazionale
Da
bookscollection
(Delhi, DELHI, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. PAPERBACK,Book Condition New, Brand New, Softcover, International Edition. We Do not Ship APO FPO AND PO BOX. Cover Image & ISBN may be different from US edition but contents as US Edition. Printing in English language. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. Codice libro della libreria ABESTTND9169

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,13
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,60
Da: India a: U.S.A.
Destinazione, tempi e costi

2.

Tenenbaum, Gerald/ France, Michel Mendes/ Spain, Philip G. (TRN)
Editore: Amer Mathematical Society (2000)
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 1
Da
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Amer Mathematical Society, 2000. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria KS-9780821816479

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 16,45
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,66
In U.S.A.
Destinazione, tempi e costi

3.

Gerald Tenenbaum, Michel Mendes France
Editore: American Mathematical Society, United States (2000)
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2000. Paperback. Condizione libro: New. 212 x 140 mm. Language: English . Brand New Book. We have been curious about numbers - and prime numbers - since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness. There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers. The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more.Two separate chapters address the asymptotic distribution of prime numbers. In the first of these, the familiar link between $ zeta(s)$ and the distribution of primes is covered with remarkable efficiency and intuition. The later chapter presents a walk through an elementary proof of the Prime Number Theorem. To help the novice understand the why of the proof, connections are made along the way with more familiar results such as Stirling s formula. A most distinctive chapter covers the stochastic properties of prime numbers. The authors present a wonderfully clever interpretation of primes in arithmetic progressions as a phenomenon in probability. They also describe Cramer s model, which provides a probabilistic intuition for formulating conjectures that have a habit of being true.In this context, they address interesting questions about equipartition modulo $1$ for sequences involving prime numbers. The final section of the chapter compares geometric visualizations of random sequences with the visualizations for similar sequences derived from the primes. The resulting pictures are striking and illuminating. The book concludes with a chapter on the outstanding big conjectures about prime numbers. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians. This book is the English translation of the French edition. Codice libro della libreria AAS9780821816479

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 20,12
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

Gerald Tenenbaum, Michel Mendes France
Editore: American Mathematical Society, United States (2000)
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Paperback Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2000. Paperback. Condizione libro: New. 212 x 140 mm. Language: English . Brand New Book. We have been curious about numbers - and prime numbers - since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness. There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers. The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more.Two separate chapters address the asymptotic distribution of prime numbers. In the first of these, the familiar link between $ zeta(s)$ and the distribution of primes is covered with remarkable efficiency and intuition. The later chapter presents a walk through an elementary proof of the Prime Number Theorem. To help the novice understand the why of the proof, connections are made along the way with more familiar results such as Stirling s formula. A most distinctive chapter covers the stochastic properties of prime numbers. The authors present a wonderfully clever interpretation of primes in arithmetic progressions as a phenomenon in probability. They also describe Cramer s model, which provides a probabilistic intuition for formulating conjectures that have a habit of being true.In this context, they address interesting questions about equipartition modulo $1$ for sequences involving prime numbers. The final section of the chapter compares geometric visualizations of random sequences with the visualizations for similar sequences derived from the primes. The resulting pictures are striking and illuminating. The book concludes with a chapter on the outstanding big conjectures about prime numbers. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians. This book is the English translation of the French edition. Codice libro della libreria AAS9780821816479

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 20,68
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Tenenbaum, Gérald; France, Michel Mendés
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 1
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218164790000000

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 21,32
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

6.

Gerald Tenenbaum, Michel Mendes France
Editore: American Mathematical Society
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Paperback Quantità: 3
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society. Paperback. Condizione libro: new. BRAND NEW, Prime Numbers and Their Distribution, Gerald Tenenbaum, Michel Mendes France, We have been curious about numbers - and prime numbers - since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness. There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers. The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more.Two separate chapters address the asymptotic distribution of prime numbers. In the first of these, the familiar link between $\zeta(s)$ and the distribution of primes is covered with remarkable efficiency and intuition. The later chapter presents a walk through an elementary proof of the Prime Number Theorem. To help the novice understand the 'why' of the proof, connections are made along the way with more familiar results such as Stirling's formula. A most distinctive chapter covers the stochastic properties of prime numbers. The authors present a wonderfully clever interpretation of primes in arithmetic progressions as a phenomenon in probability. They also describe Cramer's model, which provides a probabilistic intuition for formulating conjectures that have a habit of being true.In this context, they address interesting questions about equipartition modulo $1$ for sequences involving prime numbers. The final section of the chapter compares geometric visualizations of random sequences with the visualizations for similar sequences derived from the primes. The resulting pictures are striking and illuminating. The book concludes with a chapter on the outstanding big conjectures about prime numbers. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians. This book is the English translation of the French edition. Codice libro della libreria B9780821816479

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 17,36
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 7,00
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

7.

Gerald Tenenbaum; Michel Mendes France; Translator-Philip G. Spain
Editore: American Mathematical Society (2000)
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Paperback Quantità: > 20
Da
Sequitur Books
(Boonsboro, MD, U.S.A.)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2000. Paperback. Condizione libro: New. Brand new. We distribute directly for the publisher. We have been curious about numbers--and prime numbers--since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness.There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers.The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more.Two separate chapters address the asymptotic distribution of prime numbers. In the first of these, the familiar link between $\zeta(s)$ and the distribution of primes is covered with remarkable efficiency and intuition. The later chapter presents a walk through an elementary proof of the Prime Number Theorem. To help the novice understand the "why" of the proof, connections are made along the way with more familiar results such as Stirling's formula.A most distinctive chapter covers the stochastic properties of prime numbers. The authors present a wonderfully clever interpretation of primes in arithmetic progressions as a phenomenon in probability. They also describe Cramér's model, which provides a probabilistic intuition for formulating conjectures that have a habit of being true. In this context, they address interesting questions about equipartition modulo $1$ for sequences involving prime numbers. The final section of the chapter compares geometric visualizations of random sequences with the visualizations for similar sequences derived from the primes. The resulting pictures are striking and illuminating. The book concludes with a chapter on the outstanding big conjectures about prime numbers.This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians. This book is the English translation of the French edition. Codice libro della libreria 1006230002

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,66
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

8.

TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 5
Edizione Internazionale
Da
firstbookstore
(New Delhi, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Codice libro della libreria AIND-43930

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 26,36
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

9.

GERALD TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 5
Edizione Internazionale
Da
EBOOKSTORE2010
(New Delhi, ND, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Codice libro della libreria SHUB66848

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 26,62
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

10.

GERALD TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 5
Edizione Internazionale
Da
Bookshub
(Karol Bagh, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. New. International edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Codice libro della libreria ABE-FEB-66848

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 26,67
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro