Mathematical Foundations of Blockchains

Fundamentals, Volume 1
1. Auflage 2025
ISBN: 978-1-032-97961-8
Verlag: Taylor & Francis Ltd

Buch, Englisch, 512 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 453 g

Mathematical Foundations of Blockchains is a two-volume work on blockchains. Blockchain is a novel paradigm for a distributed ledger. Volume 1 is on the fundamentals of blockchains and consists of an overview of blockchains, essential elements of blockchains, and the mathematics required for understanding the workings of blockchains. Volume 2 develops mathematical models to enhance the understanding of blockchains.

This work can be used by students of electrical engineering, computer science, applied mathematics, and economics. Students in business school can also benefit. It can also be used by professionals and researchers in the field who would like a quick review of the basics of the subject.

Zielgruppe

Academic and Postgraduate

Autoren/Hrsg.

Bhatnagar, Nirdosh

Fachgebiete

• Mathematik | Informatik EDV | Informatik Technische Informatik Computersicherheit Kryptographie, Datenverschlüsselung
• Mathematik | Informatik EDV | Informatik Digital Lifestyle Online Banking & Finance
• Mathematik | Informatik EDV | Informatik Informatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Business Application Mathematische & Statistische Software
• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein

Inhaltsverzeichnis

Preface  List of Commonly Used Sets  Part I. Overview of Blockchains  1. Introduction to Blockchains  2. Blockchain Architecture  3. Blockchain Economics, Security, and Applications  4. Bitcoin, Ethereum, and Algorand Blockchains  Part II. Essential Elements of Blockchains  5. Consensus Protocols in Distributed Computing Systems  6. Blockchain Cryptography  7. Digital Currencies  8. Introduction to Decentralized Finance  9. Introduction to Game Theory  10. Post-Quantum Cryptography  Part III. Mathematics for Blockchains  11. Sets, Functions, and Number Theory  12. Algebra, and Analysis  13. Matrices, Determinants, and Graph Theory  14. Probability Theory  15. Stochastic Processes, and Some Applications  Part IV. Miscellaneous  Bibliography  Index

Über Autor(innen)

Nirdosh Bhatnagar works in both academia and industry in Silicon Valley, California. He is also the author of two comprehensive two-volume works, Mathematical Principles of the Internet and Introduction to Wavelet Transforms published by CRC Press. Nirdosh earned a MSc in Operations Research and MSc and PhD in Electrical Engineering from Stanford University, California.