Format:
1 Online-Ressource (XIII, 150 Seiten)
,
Illustrationen
ISBN:
9783031313233
Content:
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.
Additional Edition:
ISBN 9783031313226
Additional Edition:
ISBN 9783031313240
Additional Edition:
ISBN 9783031313257
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031313226
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031313240
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031313257
Additional Edition:
Erscheint auch als Druck-Ausgabe Riposo, Julien Some fundamentals of mathematics of blockchain Cham : Springer Nature, 2023 ISBN 9783031313226
Additional Edition:
ISBN 9783031313240
Additional Edition:
ISBN 9783031313257
Language:
English
Subjects:
Mathematics
Keywords:
Blockchain
DOI:
10.1007/978-3-031-31323-3
