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211011 ||| eng |
| 020 |
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|a 9783030838997
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| 100 |
1 |
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|a Křížek, Michal
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| 245 |
0 |
0 |
|a From Great Discoveries in Number Theory to Applications
|h Elektronische Ressource
|c by Michal Křížek, Lawrence Somer, Alena Šolcová
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| 250 |
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|a 1st ed. 2021
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2021, 2021
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| 300 |
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|a XV, 337 p. 82 illus., 15 illus. in color
|b online resource
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| 505 |
0 |
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|a Foreword -- 1. Divisibility and Congruence -- 2. Prime and Composite Numbers -- 3. Properties of Prime Numbers -- 4. Special Types of Primes -- 5. On a Connection of Number Theory with Graph Theory -- 6. Pseudoprimes -- 7. Fibonacci and Lucas Numbers -- 8. Further Special Types of Integers -- 9. Magic and Latin Squares -- 10. The Mathematics Behind Prague's Horologe -- 11. Applications of Primes -- 12. Further Applications of Number Theory -- Tables -- References
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| 653 |
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|a Applied mathematics
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| 653 |
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|a Number theory
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| 653 |
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|a Engineering mathematics
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| 653 |
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|a Graph Theory
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| 653 |
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|a Applications of Mathematics
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| 653 |
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|a Number Theory
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| 653 |
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|a Graph theory
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| 700 |
1 |
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|a Somer, Lawrence
|e [author]
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| 700 |
1 |
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|a Šolcová, Alena
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-030-83899-7?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 512.7
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| 520 |
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|a This 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 Prague’s 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
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