Prime Numbers and Their Distribution

Idioma: inglés

Editorial: American Mathematical Society, US, 2000

0821816470 / 9780821816479

  • Tapa blanda
  • Nuevo
Ver todos los detalles

Librería: Rarewaves.com UK, London, Reino UnidoRarewaves.com UK

Vendedor de 5 estrellas

Vendedor de AbeBooks desde 11 de junio de 2025

Ver los artículos de este vendedor
Tapa blanda

Condición: Nuevo

EUR 50,96

Envío por EUR 75,65 
Se envía de Reino Unido a Estados Unidos de America

Cantidad disponible: 2 disponibles

Añadir al carrito
Devoluciones gratuitas de 30 días

Descripción del artículo del vendedor

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.

N° de ref. del artículo LU-9780821816479

Título
Prime Numbers and Their Distribution
Autor
Gerald Tenenbaum, Michel Mendes France, Philip G. Spain
Editorial
American Mathematical Society, US
Año de publicación
2000
Estado
New
Encuadernación
Paperback
Idioma
inglés
ISBN 10
0821816470
ISBN 13
9780821816479
Peso del artículo
170 gramos
Dimensiones
13.97 x 0.64 x 21.59 cm

Rarewaves.com UK

London, Reino Unido

Vendedor de 5 estrellas

Vendedor de AbeBooks desde 11 de junio de 2025

Tarifas de envío de Reino Unido a Estados Unidos de America

ArtículoDe 60 a 60 días hábilesDe 60 a 60 días hábiles
Primer artículoEUR 75,65EUR 116,39
Los plazos de entrega los establecen los vendedores y varían según el transportista y la ubicación. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relación con cargos adicionales para cubrir cualquier aumento en los costes de envío de los artículos.

Métodos de pago

  • Visa
  • Mastercard
  • American Express
  • Carte Bleue
  • Apple Pay
  • Google Pay

Información empresarial del vendedor

RAREWAVES.COM LIMITED

Elsley Court, 20-22 Great Titchfield Street
London, Reino Unido W1W 8BE