國立虎尾科技大學 |

From Great Discoveries in Number Theory to Applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	From Great Discoveries in Number Theory to Applications/ by Michal Křížek, Lawrence Somer, Alena Šolcová.
Author:	Křížek, Michal.
other author:	Somer, Lawrence.
Description:	XV, 337 p. 82 illus., 15 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	https://doi.org/10.1007/978-3-030-83899-7
ISBN:	9783030838997

From Great Discoveries in Number Theory to Applications
Křížek, Michal.

From Great Discoveries in Number Theory to Applications[electronic resource] /by Michal Křížek, Lawrence Somer, Alena Šolcová. - 1st ed. 2021. - XV, 337 p. 82 illus., 15 illus. in color.online resource.

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.

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.

ISBN: 9783030838997

Standard No.: 10.1007/978-3-030-83899-7doiSubjects--Topical Terms:

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

From Great Discoveries in Number Theory to Applications
LDR:02836nam a22003975i 4500 001 1052428
003 DE-He213
005 20210921124736.0
007 cr nn 008mamaa
008 220103s2021 sz | s |||| 0|eng d
020 $a 9783030838997 $9 978-3-030-83899-7
024 7 $a 10.1007/978-3-030-83899-7 $2 doi
035 $a 978-3-030-83899-7
050 4 $a QA241-247.5
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.7 $2 23
100 1 $a Křížek, Michal. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1327008
245 1 0 $a From Great Discoveries in Number Theory to Applications $h [electronic resource] / $c by Michal Křížek, Lawrence Somer, Alena Šolcová.
250 $a 1st ed. 2021.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a XV, 337 p. 82 illus., 15 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $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.
520 $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.
650 0 $a Number theory. $3 527883
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 0 $a Graph theory. $3 527884
650 1 4 $a Number Theory. $3 672023
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Graph Theory. $3 786670
700 1 $a Somer, Lawrence. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1357148
700 1 $a Šolcová, Alena. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1357149
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030838980
776 0 8 $i Printed edition: $z 9783030839000
776 0 8 $i Printed edition: $z 9783030839017
856 4 0 $u https://doi.org/10.1007/978-3-030-83899-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)