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[ subject:"General Mathematics." ]
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Some fundamentals of mathematics of ...
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Riposo, Julien.
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Some fundamentals of mathematics of blockchain
紀錄類型:
書目-電子資源 : 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:
Blockchains (Databases) - Mathematics. -
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:
3662193
Blockchains (Databases)
--Mathematics.
LC Class. No.: QA76.9.B56
Dewey Class. No.: 005.74015113
Some fundamentals of mathematics of blockchain
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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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