Some Fundamentals of Mathematics of Blockchain
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...
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| Materyal Türü: | Elektronik Ekitap |
| Dil: | İngilizce |
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
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| Edisyon: | 1st ed. 2023. |
| Konular: | |
| Online Erişim: | https://doi.org/10.1007/978-3-031-31323-3 |
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| 100 | 1 | |a Riposo, Julien. |e author. |0 (orcid)0000-0002-4228-3390 |1 https://orcid.org/0000-0002-4228-3390 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Some Fundamentals of Mathematics of Blockchain |h [electronic resource] / |c by Julien Riposo. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (XIII, 150 p. 1 illus.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
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| 341 | 0 | |b All non-decorative content supports reading without sight |2 onix | |
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| 505 | 0 | |a I. Blockchain and the Underlying Mathematics -- II. Mathematical Settings of the Blockchain -- III. Digital Signature -- IV. Blockchain Contributors: the Network of Users -- V. Halving and Cycles Theorem -- VI. On Improving the Merkle Trees: the ����-Trees -- VII. Entropy of Peer-to-Peer Network -- VIII. Applications: Selection of Research Studies -- Conclusion -- References -- Index.-. | |
| 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Economics. | |
| 650 | 0 | |a Graph theory. | |
| 650 | 1 | 4 | |a General Mathematics. |
| 650 | 2 | 4 | |a Economics. |
| 650 | 2 | 4 | |a Graph Theory. |
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| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031313226 |
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