Abstract
Hermann Minkowski, being more modest than Kronecker, once said “The primary source (Urquell) of all of mathematics are the integers.” Today, integer arithmetic is important in a wide spectrum of human activities and natural phenomena amenable to mathematic analysis.
“Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk.” — Leopold Kronecker
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. M. Apostol: Introduction to Analytic Number Theory (Springer, Berlin, Heidelberg, New York 1976 )
I. Asimov: Asimov on Numbers ( Doubleday, Garden City, NY, 1977 )
A. O. L. Atkin, B. J. Birch (eds.): Computers in Number Theory ( Academic, London 1971 )
E. R. Berlekamp, J. H. Conway, R. K. Guy: Winning Ways ( Academic, London 1981 )
W. Kaufmann-Bühler: Gauss. A Biographical Study (Springer, Berlin, Heidelberg, New York 1981 )
P. J. Davis: The Lore of Large Numbers ( Random House, New York 1961 )
L. E. Dickson: History of the Theory of Numbers, Vols. 1-3 ( Chelsea, New York 1952 )
U. Dudley: Elementary Number Theory ( Freeman, San Francisco 1969 )
C. F. Gauss: Disquisitiones Arithmeticae [English trans]. by A. A. Clarke, Yale University Press, New Haven 19661
W. Gellert, H. Kästner, M. Hellwich, H. Kästner (eds.): The VNR Concise Encyclopedia of Mathematics ( Van Nostrand Reinhold, New York 1977 )
R. K. Guy: Unsolved Problems in Intuitive Mathematics, Vol. I, Number Theory (Springer, Berlin, Heidelberg, New York 1981 )
H. Halberstam, C. Hooley (eds.): Progress in Analytic Number Theory, Vol. I ( Academic, London 1981 )
G. H. Hardy: A Mathematician’s Apology ( Cambridge University Press, Cambridge 1967 )
G. H. Hardy, E. M. Wright: An Introduction to the Theory of Numbers, 4th ed. ( Clarendon, Oxford 1960 )
L. H. Hua: Introduction to Number Theory (Springer, Berlin, Heidelberg, New York 1982 )
K.-H. Indlekofer: Zahlentheorie, Uni-Taschenbücher 688 ( Birkäuser, Basel 1978 )
K. Ireland, M. Rosen: Elements of Number Theory ( Bogden and Quigley, New York 1976 )
H. Minkowski: Diophantische Approximationen (Teubner, Leipzig 1907; reprinted by Physica, Würzburg 1961 )
T. Nagell: Introduction to Number Theory ( Wiley, New York 1951 )
C. S. Ogilvy: Tomorrow’s Math (Oxford University Press, Oxford 1962 )
O. Ore: Number Theory and Its History ( McGraw-Hill, New York 1948 )
H. Rademacher: Lectures on Elementary Number Theory ( Blaisdell, New York 1964 )
H. Rademacher, O. Toeplitz: The Equipment of Mathematics (Princeton University Press, Princeton 1957 )
A. Scholz, B. Schoenberg: Einführung in die Zahlentheorie, Sammlung Göschen 5131 ( Walter de Gruyter, Berlin 1973 )
C. E. Shannon: Communication theory of secrecy systems. Bell Syst. Tech. J. 28, 656–715 (1949)
W. Sierpinski: 250 Problems in Elementary Number Theory ( American Elsevier, New York 1970 )
J. V. Uspensky, M. A. Heaslet: Elementary Number Theory ( McGraw-Hill, New York 1939 )
D. J. Winter: The Structure of Fields, Graduate Texts in Mathematics, Vol. 16 ( Springer, Berlin, Heidelberg, New York 1974 )
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Schroeder, M.R. (1986). Introduction. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22246-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-662-22246-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15800-4
Online ISBN: 978-3-662-22246-1
eBook Packages: Springer Book Archive