From great discoveries in number theory to applications / Michal Křížek, Lawrence Somer, Alena Šolcová.
2021
QA241 .K75 2021
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Can lend chapters, not whole ebooks
Details
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
3030838994 (electronic bk.)
9783030838980
3030838986
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.
Šolcová, Alena, author.
Available in Other Form
Print version: 9783030838980
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Table of Contents
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.
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.