From great discoveries in number theory to applications / Michal Křížek, Lawrence Somer, Alena Šolcová.
Křížek, M., author.; Somer, Lawrence, author.; Šolcová, Alena, author.
2021
QA241 .K75 2021
Available Online

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Title From great discoveries in number theory to applications / Michal Křížek, Lawrence Somer, Alena Šolcová.
Author Křížek, M., author.
ISBN 9783030838997 (electronic bk.)
3030838994 (electronic bk.)
9783030838980
3030838986
DOI https://doi.org/10.1007/978-3-030-83899-7
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource (xv, 337 pages) : illustrations (some color)
Item Number 10.1007/978-3-030-83899-7 doi
Call Number QA241 .K75 2021
Dewey Decimal Classification 512.7
Summary 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed October 4, 2021).
Added Author Somer, Lawrence, author.
Šolcová, Alena, author.
Available in Other Form Print version: 9783030838980
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Divisibility and congruence
Prime and composite numbers
Properties of prime numbers
Special types of primes
On a connection of number theory with graph theory
Pseudoprimes
Fibonacci and Lucas numbers
Further special types of integers
Magic and Latin squares
The mathematics behind Prague's Horologe
Applications of primes
Further applications of number theory.

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