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Number Theory I Fundamental Problems, Ideas and Theories

This book 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 (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern th...

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Bibliographic Details
Main Authors: Manin, Yu. I., Panchishkin, Alexei A. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1995, 1995
Edition:1st ed. 1995
Series:Encyclopaedia of Mathematical Sciences
Subjects:
Number Theory
Algebraic Geometry
Mathematical Logic
Cryptography
Data Encryption (computer Science)
Mathematical Physics
Cryptology
Mathematical Logic And Foundations
Theoretical, Mathematical And Computational Physics
Mathematical Methods In Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Problems and Tricks
  • 1. Elementary Number Theory
  • 2. Some Modern Problems of Elementary Number Theory
  • II. Ideas and Theories
  • 1. Induction and Recursion
  • 2. Arithmetic of Algebraic Numbers
  • 3. Arithmetic of Algebraic Varieties
  • 4. Zeta Functions and Modular Forms
  • References

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