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From great discoveries in number the...

Krizek, Michal.

From great discoveries in number theory to applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	From great discoveries in number theory to applicationsby Michal Krizek, Lawrence Somer, Alena Solcova.
作者:	Krizek, Michal.
其他作者:	Somer, Lawrence.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xv, 337 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Number theory.
電子資源:	https://doi.org/10.1007/978-3-030-83899-7
ISBN:	9783030838997$q(electronic bk.)

From great discoveries in number theory to applications
Krizek, Michal.

From great discoveries in number theory to applications[electronic resource] /by Michal Krizek, Lawrence Somer, Alena Solcova. - Cham :Springer International Publishing :2021. - xv, 337 p. :ill. (some col.), digital ;24 cm.

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$q(electronic bk.)

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

189521
Number theory.

LC Class. No.: QA241 / .K75 2021

Dewey Class. No.: 512.7

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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.
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