From Great Discoveries in Number Theory to Applications

Michal Křížek, Lawrence Somer, Alena Šolcová

Acheter 42,39 €
+ 42 points
Langue:
Ebook en anglais
ISBN:
9783030838997
Date de parution:
20-09-21
Nombre de pages:
337
Editeur:
Springer
Format:
Ebook
Format Détaillé:
EPUB
Protection digitale:
Adobe DRM

Description

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.