The Prime Numbers and Their Distribution (Student Mathematical Library, Vol. 6) (Student Mathematical Library, V. 6)

Valutazione media 3,6
( su 5 valutazioni fornite da Goodreads )
 
9780821816479: The Prime Numbers and Their Distribution (Student Mathematical Library, Vol. 6) (Student Mathematical Library, V. 6)

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.

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

From the Publisher:

Nicely written ... It is a pleasure to read this booklet, written by experts of number theory. Due to the many results, the elegant proofs, and the informal explanations of ideas, it is highly recommended to study this small monograph thoroughly.

Zentralblatt f\"ur Mathematik

Review:

"The authors have succeeded in writing an interesting volume that can be recommended to students ... describe various aspects of prime number theory from the point of view of randomness, giving to the book a specific charm." ---- European Mathematical Society Newsletter

"A wealth of information ... The treatment is concise and the level is high. The authors have chosen to highlight some of the most important points of the area, and the exposition and the translation are excellent. Reading this book is equivalent to ascending a major summit." ---- MAA Monthly

"This is a very attractive introduction to prime number theory ... presentation is clear and concise ... [includes] material which has not previously appeared in a book. The proof [in Chapter 4] is an astonishing display of recent techniques in analytic number theory ... "Wonderfully written, and the authors have the confidence to frequently express their delight with the subject and the sheer fun of exploring the philosophical ideas that underlie the investigation of prime numbers." ---- Mathematical Reviews

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

I migliori risultati di ricerca su AbeBooks

1.

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. 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 AAN9780821816479

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 19,46
Convertire valuta

Aggiungere al carrello

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

2.

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. 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 AAN9780821816479

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 20,30
Convertire valuta

Aggiungere al carrello

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

3.

Gerald Tenenbaum
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Softcover Quantità: 8
Edizione Internazionale
Da
Unique Bookseller
(Delhi, India)
Valutazione libreria
[?]

Descrizione libro Softcover. Condizione libro: Brand New. .. Black & White or color International Edition. ISBN and front cover may be different, but contents are same as the US edition. Book printed in English. Territorial restrictions may be printed on the book. GET IT FAST within 3-5 business days by DHL/FedEx/Aramex and tracking number will be uploaded into your order page within 24-48 hours. Kindly provide day time phone number in order to ensure smooth delivery. No shipping to PO BOX, APO, FPO addresses. 100% Customer satisfaction guaranteed!. . Codice libro della libreria UBS10721

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 24,08
Convertire valuta

Aggiungere al carrello

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

4.

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 24,16
Convertire valuta

Aggiungere al carrello

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

5.

GERALD TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 3
Edizione Internazionale
Da
Bookshub
(Karol Bagh, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. Codice libro della libreria ABE-FEB-92263

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 24,40
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: 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: 1
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 16,61
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 7,82
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

7.

GERALD TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 3
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 SHUB92263

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 24,44
Convertire valuta

Aggiungere al carrello

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

8.

GERALD TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 3
Edizione Internazionale
Da
GlobalExpressBookstore
(Aventura, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. *INTERNAITONAL EDITION BOOK *INTERNATIONAL EDITION, DIFFERENT ISBN and COVER IMAGE.Upgrade to Priority for faster shipping. Paper is of cheaper Quality as well as book materials/also book may be black and white or colour ,may have differences to us edition example chapter order and problems ect, no supplemental access card or online content may be available . condition. English language. Delivery take 3-7 business days. Customer satisfaction our priority. Codice libro della libreria ambition16779

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 22,54
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,50
In U.S.A.
Destinazione, tempi e costi

9.

Gerald Tenenbaum
Editore: American Mathematical Society (2000)
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Quantità: 1
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2000. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821816479

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,74
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,14
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

10.

TENENBAUM
ISBN 10: 0821816470 ISBN 13: 9780821816479
Nuovi Brossura Quantità: 5
Edizione Internazionale
Da
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Codice libro della libreria AUSBNEW-43930

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 26,33
Convertire valuta

Aggiungere al carrello

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

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro