國立虎尾科技大學 |

Some fundamentals of mathematics of blockchain

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Some fundamentals of mathematics of blockchain/ by Julien Riposo.
Author:	Riposo, Julien.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	xiii, 150 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Blockchains (Databases) - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-31323-3
ISBN:	9783031313233

Some fundamentals of mathematics of blockchain
Riposo, Julien.

Some fundamentals of mathematics of blockchain[electronic resource] /by Julien Riposo. - Cham :Springer Nature Switzerland :2023. - xiii, 150 p. :ill., digital ;24 cm.

This book provides a foundation for the mathematics of blockchain. It is inspired by a general analysis and synthesis of the current knowledge of blockchain technology and starts by laying a foundation for the mathematics of blockchain. The aim is for research in the area of blockchain to lead their study from the construction highlighted in this book. First, the basis of a blockchain is set: block, transaction contents, block header, Merkle tree, nonce, Proof-of-Work. Connections with elliptic curves and cryptographic signatures are made. Second, the book ties this with a Graph and Matrix Theories approach and models the peer-to-peer relationship through the Bitcoin Network. Third, it is proposed further modelling, notably around halving, optimal storing, or diffusion of information, which are consequences of the mathematical foundation. The notion of Entropy of Privacy and the Particles model are introduced. Finally, the mathematical statements therein are proven and essential reminders can be found before each section, so the content can be accessible from a graduate level.

ISBN: 9783031313233

Standard No.: 10.1007/978-3-031-31323-3doiSubjects--Topical Terms:

1415369
Blockchains (Databases)
--Mathematics.

LC Class. No.: QA76.9.B56

Dewey Class. No.: 005.74015113

Some fundamentals of mathematics of blockchain
LDR:02049nam a2200313 a 4500 001 1106002
003 DE-He213
005 20230606093725.0
006 m d
007 cr nn 008maaau
008 231013s2023 sz s 0 eng d
020 $a 9783031313233 $q (electronic bk.)
020 $a 9783031313226 $q (paper)
024 7 $a 10.1007/978-3-031-31323-3 $2 doi
035 $a 978-3-031-31323-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.9.B56
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 005.74015113 $2 23
090 $a QA76.9.B56 $b R592 2023
100 1 $a Riposo, Julien. $3 1415368
245 1 0 $a Some fundamentals of mathematics of blockchain $h [electronic resource] / $c by Julien Riposo.
260 $a Cham : $c 2023. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xiii, 150 p. : $b ill., digital ; $c 24 cm.
520 $a This book provides a foundation for the mathematics of blockchain. It is inspired by a general analysis and synthesis of the current knowledge of blockchain technology and starts by laying a foundation for the mathematics of blockchain. The aim is for research in the area of blockchain to lead their study from the construction highlighted in this book. First, the basis of a blockchain is set: block, transaction contents, block header, Merkle tree, nonce, Proof-of-Work. Connections with elliptic curves and cryptographic signatures are made. Second, the book ties this with a Graph and Matrix Theories approach and models the peer-to-peer relationship through the Bitcoin Network. Third, it is proposed further modelling, notably around halving, optimal storing, or diffusion of information, which are consequences of the mathematical foundation. The notion of Entropy of Privacy and the Particles model are introduced. Finally, the mathematical statements therein are proven and essential reminders can be found before each section, so the content can be accessible from a graduate level.
650 0 $a Blockchains (Databases) $x Mathematics. $3 1415369
650 1 4 $a General Mathematics. $3 1365847
650 2 4 $a Economics. $3 555568
650 2 4 $a Graph Theory. $3 786670
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-31323-3
950 $a Mathematics and Statistics (SpringerNature-11649)