000			a
999			_c32441 _d32441
008			230831b xxu||||| |||| 00| 0 eng d
020			_a9783030838980
082			_a512.7 _bKRI
100			_aKrizek, Michal
245			_aFrom great discoveries in number theory to applications
260			_bSpringer, _c2021 _aCham :
300			_axv, 337 p. ; _bill., _c25 cm
365			_b37.99 _cEUR _d94.99
504			_aIncludes bibliographical references and indexes.
520			_aThis book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Pragues astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.
650			_aEncryption
650			_aChinese remainder theorem
650			_aDigraph
650			_aEuclidean algorithm
650			_aFermat prime
650			_aFibonacci numbers
650			_aGaussian primes
650			_aMagic square
650			_aPseudoprime
650			_aPrimitive Sindel sequence
650			_aSophie German prime
650			_aSudoku
700			_aSomer, Lawrence
700			_aSolcova, Alena
942			_2ddc _cBK