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Elementary Number Theory /

This book gives an undergraduate-level introduction to Number Theory, with the emphasis on fully explained proofs and examples; exercises (with solutions) are integrated into the text. The first few chapters, covering divisibility, prime numbers and modular arithmetic, assume only basic school algeb...

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Bibliographic Details
Main Author: Jones, Gareth A., 1964-
Corporate Author: SpringerLink (Online service)
Other Authors: Jones, J. Mary
Format: eBook
Language:English
Published: London : Springer London : Imprint : Springer, 1998.
Series:Springer undergraduate mathematics series.
Subjects:
Mathematics.
Number theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Notes to the reader
  • Divisibility
  • Prime Numbers
  • Congruences
  • Congruences with prime modulus
  • Euler's function
  • The group of units
  • Quadratic residues
  • Arithmetic functions
  • The Riemann zeta function
  • Sums of squares
  • Fermat's Last Theorem
  • Appendix 1: Induction and well-ordering
  • Appendix 2: Groups, rings and fields
  • Appendix 3: Convergence
  • Table of primes
  • Solutions to excercises
  • References
  • Index of symbols
  • Index of names
  • Index.