Topics from the Theory of Numbers by Emil Grosswald.

Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the ana...

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Bibliographic Details
Main Author: Grosswald, Emil (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1984.
Edition:2nd ed. 1984.
Series:Modern Birkhäuser Classics,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Introduction, Historical Background, and Notations
  • and Historical Background
  • Introductory Remarks and Notations
  • Elementary Number Theory
  • Divisibility
  • Congruences
  • Quadratic Residues
  • Arithmetical Functions
  • The Theory of Partitions
  • Topics from Analytic and Algebraic Number Theory
  • The Distribution of Primes and the Riemann Zeta Function
  • The Prime Number Theorem
  • The Arithmetic of Number Fields
  • Ideal Theory
  • Primes in Arithmetic Progressions
  • Diophantine Equations
  • Fermat’s Equation.