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...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2005, 2005
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Edition: | 2nd ed. 2005 |
Series: | Encyclopaedia of Mathematical Sciences
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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])