Introduction to modern number theory : fundamental problems, ideas and theories
"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include n...
Guardat en:
| Autors principals: | , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | Second Edition. |
| Col·lecció: | Encyclopaedia of Mathematical Sciences
49 |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to Modern Number Theory, Texte imprimé, 9783540800392 • Introduction to Modern Number Theory, Texte imprimé, 9783642057977 • Introduction to modern number theory, fundamentals problems, ideas and theories, Yuri Ivanovic Manin, Alexei A. Panchishkin, Second edition [revised and updated], 2005, Berlin, Springer, 1 vol. (XV-514 p.), Encyclopaedia of mathematical sciences, 3-540-20364-8 |
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| 100 | 1 | |a Manin, Ûrij Ivanovič, |d 1937-2023. | |
| 245 | 1 | 0 | |a Introduction to modern number theory : |b fundamental problems, ideas and theories |c by Yuri Ivanovic Manin, Alexei A. Panchishkin. |
| 250 | |a Second Edition. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Encyclopaedia of Mathematical Sciences |v 49 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Problems and Tricks Number Theory Some Applications of Elementary Number Theory Ideas and Theories Induction and Recursion Arithmetic of algebraic numbers Arithmetic of algebraic varieties Zeta Functions and Modular Forms Fermat s Last Theorem and Families of Modular Forms Analogies and Visions Introductory survey to part III: motivations and description Arakelov Geometry and Noncommutative Geometry (d après C. Consani and M. Marcolli, [CM]) | |
| 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 "Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects. From the reviews of the 2nd edition: " For my part, I come to praise this fine volume. This book is a highly instructive read the quality, knowledge, and expertise of the authors shines through. The present volume is almost startlingly up-to-date ..." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007) | ||
| 700 | 1 | |a Panchishkin, Aleksež Alekseevich, |d 1953- |4 aut | |
| 776 | 0 | |t Introduction to Modern Number Theory |b Texte imprimé |z 9783540800392 | |
| 776 | 0 | |t Introduction to Modern Number Theory |b Texte imprimé |z 9783642057977 | |
| 776 | 0 | |0 091900514 |t Introduction to modern number theory |o fundamentals problems, ideas and theories |f Yuri Ivanovic Manin, Alexei A. Panchishkin |e Second edition [revised and updated] |d 2005 |c Berlin |n Springer |p 1 vol. (XV-514 p.) |s Encyclopaedia of mathematical sciences |z 3-540-20364-8 | |
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