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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Manin, Ûrij Ivanovič, 1937-2023, Panchishkin, Aleksež Alekseevich, 1953- (مؤلف)
التنسيق: Livre numérique
اللغة:Anglais
منشور في: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
الطبعة:Second Edition.
سلاسل:Encyclopaedia of Mathematical Sciences 49
الوصول للمادة أونلاين:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
ملاحظة: 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
جدول المحتويات:
  • 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])