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Number Theory

Summary

We meet the applications of the results of number theory daily, maybe unwittingly. A variety of systems of identification numbers, such as the postal slips (USPS-The United States Postal Service), in the barcodes (UPC-Universal Product Codes) or books (ISBN-International Standard Book Number). Furthermore, the results of the theory of numbers used for generating random numbers. You shall also apply them in various areas. In addition to statistics find its place even in the theoretical physics-particle simulations. Probably the most important applications has number theory in cryptography, are based on it the extremly safe encryption methods, yet easily applicable in practice. In the subject of elementary number theory students should acquire basic knowledge of mathematical apparatus, which stands for the above applications. Then they can understand how these applications work in practice.

Literature

Compulsory literature is not required.

Advised literature

APOSTOL T.M.: Introduction to Analytic Number Theory, Springer, 1976.

HARDY G.H., WRIGHT E.M.: An Introduction to the Theory of Numbers, Oxford, Clarendon press, 1954.

J.E. POMMERSHEIM, T.K. MARKS, E.L. FLAPAN, Number theory, USA: Wiley, 2010.


Language of instruction čeština, angličtina
Code 470-2302
Abbreviation TC
Course title Number Theory
Coordinating department Department of Applied Mathematics
Course coordinator RNDr. Pavel Jahoda, Ph.D.