Arithmetics
Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2011. |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Arithmetics, Marc Hindry, London, Springer, 2011, 1 vol. (XVI-321 p.), Universitext, 978-1-447-12130-5 • Arithmetics, Texte imprimé, 9781447121329 |
| LEADER | 04213nam a22004217a 4500 | ||
|---|---|---|---|
| 001 | 973600 | ||
| 008 | 111115q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN156318822 | ||
| 020 | |a 9781447121312 | ||
| 020 | |a 9781447121312 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.7 | ||
| 084 | |a 11Axx. 2010 | ||
| 084 | |a 11Dxx. 2010 | ||
| 084 | |a 11Gxx. 2010 | ||
| 100 | 1 | |a Hindry, Marc, |d 1957-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Arithmetics |c Marc Hindry. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a London : |b Springer London. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Finite Structures Applications: Algorithms, Primality and Factorization, Codes Algebra and Diophantine Equations Analytic Number Theory Elliptic Curves Developments and Open Problems Factorization Elementary Projective Geometry Galois Theory | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled Developments and Open Problems , which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of number theory, the primary aims of this book are to: - provide an overview of the various forms of mathematics useful for studying numbers - demonstrate the necessity of deep and classical themes such as Gauss sums - highlight the role that arithmetic plays in modern applied mathematics - include recent proofs such as the polynomial primality algorithm - approach subjects of contemporary research such as elliptic curves - illustrate the beauty of arithmetic The prerequisites for this text are undergraduate level algebra and a little topology of Rn. It will be of use to undergraduates, graduates and phd students, and may also appeal to professional mathematicians as a reference text | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Arithmétique | ||
| 650 | |a Manuels d'enseignement supérieur | ||
| 776 | 0 | |0 155312766 |t Arithmetics |f Marc Hindry |c London |n Springer |d 2011 |p 1 vol. (XVI-321 p.) |s Universitext |z 978-1-447-12130-5 | |
| 776 | 0 | |t Arithmetics |b Texte imprimé |z 9781447121329 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4471-2131-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-SBCV4389-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750610689 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4471-2131-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753969971 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4471-2131-2 |z Accès INSA CVL | |
| 997 | |0 973600 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||