Diophantine Equations

  • Manfred R. Schroeder
Part of the Springer Series in Information Sciences book series (SSINF, volume 7)


Diophantine equations, i.e., equations with integer coefficients for which integer solutions are sought, are among the oldest subjects in mathematics. Early historical occurrences often appeared in the guise of puzzles, and perhaps for that reason, Diophantine equations have been largely neglected in our mathematical schooling. Ironically, though, Diophantine equations play an ever-increasing role in modern applications, not to mention the fact that some Diophantine problems, especially the unsolvable ones, have stimulated an enormous amount of mathematical thinking, advancing the subject of number theory in a way that few other stimuli have.


Integer Solution Diophantine Equation Triangular Number Room Acoustics Perfect Number 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Manfred R. Schroeder
    • 1
    • 2
  1. 1.Drittes Physikalisches InstitutUniversität GöttingenGöttingenFed. Rep. of Germany
  2. 2.Acoustics Speech and Mechanics ResearchBell LaboratoriesMurray HillUSA

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