Topics from the Theory of Numbers

  • Emil Grosswald

Part of the Modern Birkhäuser Classics book series (MBC)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Introduction, Historical Background, and Notations

    1. Front Matter
      Pages 1-1
    2. Emil Grosswald
      Pages 3-12
    3. Emil Grosswald
      Pages 13-16
  3. Elementary Number Theory

    1. Front Matter
      Pages 17-17
    2. Emil Grosswald
      Pages 19-33
    3. Emil Grosswald
      Pages 35-65
    4. Emil Grosswald
      Pages 67-80
    5. Emil Grosswald
      Pages 81-107
    6. Emil Grosswald
      Pages 109-140
  4. Topics from Analytic and Algebraic Number Theory

    1. Front Matter
      Pages 141-141
    2. Emil Grosswald
      Pages 169-185
    3. Emil Grosswald
      Pages 187-217
    4. Emil Grosswald
      Pages 219-231
    5. Emil Grosswald
      Pages 233-254
    6. Emil Grosswald
      Pages 255-288
    7. Emil Grosswald
      Pages 289-319
  5. Back Matter
    Pages 321-335

About this book


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 analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate, including:

* divisibility

* congruences

* the Riemann zeta function

* Diophantine equations and Fermat’s conjecture

* the theory of partitions


Comprehensive in nature, Topics from the Theory of Numbers is an ideal text for advanced undergraduates and graduate students alike.



"In my opinion it is excellent. It is carefully written and represents clearly a work of a scholar who loves and understands his subject. One can only wish more authors would take such pains and would be as good and honest expositors as Grosswald."

Marc Kac

"This book is designed for use in a first course in number theory at the junior or senior level...The author has certainly planned his book well, chosen material that will be stimulating to its intended audience, and carried the project through in such a way that interest seldom flags."

Mathematical Reviews (Review of First Edition)


Fermat's equation Riemann zeta function Theory of partitions algebra algebraic number theory arithmetic congruences diophantine equation divisibility ideal theory number theory prime number prime number theorem quadratic residues zeta function

Authors and affiliations

  • Emil Grosswald
    • 1
  1. 1.Department of MathematicsTemple UniversityPhiladelphiaUSA

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Boston 1984
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-8176-4837-4
  • Online ISBN 978-0-8176-4838-1
  • Series Print ISSN 2197-1803
  • Series Online ISSN 2197-1811
  • Buy this book on publisher's site
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