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Some fundamentals of mathematics of blockchain

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Some fundamentals of mathematics of blockchain/ by Julien Riposo.
作者:	Riposo, Julien.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xiii, 150 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Graph Theory. -
電子資源:	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:

786670
Graph Theory.

LC Class. No.: QA76.9.B56

Dewey Class. No.: 005.74015113

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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.
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