Mathematical Foundations of Blockchains: Engineering Principles, Volume 2

by Nirdosh Bhatnagar

Overview

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.

Product Details

ISBN-13:	9781032979649
Publisher:	CRC Press
Publication date:	09/12/2025
Pages:	448
Product dimensions:	7.00(w) x 10.00(h) x (d)

About the Author

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.

Table of Contents

Preface   List of Commonly Used Sets   Part I. Blockchain Formalization   1. A High-Level Blockchain Description   2. Blockchain Throughput and Block-Size Depend   3. Double-Spending Attack, Selfish Mining, and Private-Chain Attack   4. Forking, Sharding, and Energy Consumption in Blockchains   5. Robustness of the Nakamoto Consensus Protocol   6. Analysis of Blockchain Economics   7. Game-Theoretic Blockchain Models   8. Blockchains and Trust   9. Tangle Distributed Ledger   10. Decentralized Finance Analysis and Blockchains   11. Blockchains and Differential Privacy   12. Blockchains and the Quantum Revolution   Part II. Miscellaneous   Acronyms   Glossary   Bibliography