Skip to main content
Log in

Number theory and the real world

  • Articles
  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. M. R. Schroeder (1975) Diffuse sound reflection by maximum-length sequences. Journal of the Acoustical Society of America57, 149–150. See also: M. R. Schroeder (1980) Toward better acoustics for concert halls. Physics Today, Oct. 1980, pp. 24–30

    Article  Google Scholar 

  2. M. R. Schroeder (1980) Constant-amplitude antenna arrays with beam patterns whose lobes have equal magnitudes. Archiv für Elektronik und Übertragungstechnik34 (Electronics and Communication), pp. 165–168

    Google Scholar 

  3. C. Pomerance (1981) Recent developments in primality testing. The Mathematical Intelligencer 3, pp. 97–105

    Article  MATH  MathSciNet  Google Scholar 

  4. F. J. Mac Williams, N. J. A. Sloane (1978) The theory of error-correcting codes, North-Holland, Amsterdam

  5. I. I. Shapiro et al. (1968) Fourth test of general relativity. Phys. Rev. Lett. 20, pp. 1265–1269

    Article  Google Scholar 

  6. J. H. McClellan, C. M. Rader (1979) Number Theory in Digital Signal Processing. Prentice-Hall, Englewood Cliffs

  7. M. R. Schroeder (1984) Number Theory in Science and Communication—With Applications in Cryptography, Physics, Biology, Digital Information, and Computing, Springer-Verlag, Berlin

    Google Scholar 

  8. C. J. Bouwkamp, A. J. Duijvestijn, P. Medema (1960) Tables relating to simple squared rectangles. Dept. of Mathematics and Mechanics, Technische Hogeschool, Eindhoven

  9. J. Rohlfs in F. Hirzebruch (ed.) (1983) Mathematische Miniaturen. Birkhäuser, Basel, pp. 75–91

    Google Scholar 

  10. E. R. Berlekamp, H. H. Conway, R. K. Guy (1981) Winning Ways. Academic Press, London

    Google Scholar 

  11. A. M. Odlyzko, personal communication. For further details see [7]

Download references

Authors

Additional information

Based on the author’s bookNumber Theory in Science and Communication: With Applications in Cryptography, Physics, Biology, Digital Information and Computing (Springer-Verlag, Berlin, 1984). A second edition, to be published in October 1985, contains new sections on error-free computing (based on p-adic numbers), applications of the Zech logarithm and generalized Legendre sequences to the design of phase arrays, optimum ambiguity functions (for radar and sonar) and spread-spectrum communication systems. A new chapter treats the connection between number theory and self-similarity, fractals and quasicrystals (a recently discovered new state of matter).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schroeder, M.R. Number theory and the real world. The Mathematical Intelligencer 7, 18–26 (1985). https://doi.org/10.1007/BF03024482

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03024482

Keywords

Navigation