Tous nos rayons

Déjà client ? Identifiez-vous

Nouveau client ?

Votre panier contient 0 article
0,00 €
An Invitation to Modern Number Theory

Librairie Eyrolles - Paris 5e

An Invitation to Modern Number Theory

An Invitation to Modern Number Theory

504 pages, parution le 28/04/2006


In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research.

Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory.

Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.

L'auteur Steven J. Miller

Steven J. Miller is an Assistant Professor of Mathematics at Brown University.

L'auteur Ramin Takloo-Bighash

Ramin Takloo-Bighash is an Assistant Professor of Mathematics at Princeton University.


  • Foreword
  • Preface
  • Notation
  • Basic Number Theory
  • Continued Fractions and Approximations
  • Probabilistic Methods and Equidistribution
  • The Circle Method
  • Random Matrix Theory and L-Functions
  • Appendix A: Analysis Review
  • Appendix B: Linear Algebra review
  • Appendix C: Hints and Remarks on the Exercices
  • Appendix D: Concluding Remarks
  • Bibliography
  • Index
Voir tout

Caractéristiques techniques du livre "An Invitation to Modern Number Theory"

Éditeur(s) Princeton University Press
Auteur(s) Steven J. Miller, Ramin Takloo-Bighash
Parution 28/04/2006
Nb. de pages 504
Format 16 x 24
Couverture Relié
Poids 851g
Intérieur Noir et Blanc
EAN13 9780691120607
ISBN13 978-0-691-12060-7


Livraison à partir de 0,01 en France métropolitaine (1)

Paiement en ligne SÉCURISÉ

Livraison dans le monde

Retour sous 15 jours

+ de 700 000 livres disponibles

satisfait ou remboursé
Satisfait ou remboursé
Paiement sécurisé
modes de paiement
Paiement à l'expédition
partout dans le monde
Livraison partout dans le monde
Service clients 0 321 79 56 75
librairie française
Librairie française depuis 1925