1st Edition

Mathematical Foundations of Blockchains Fundamentals, Volume 1

By Nirdosh Bhatnagar Copyright 2026
506 Pages 31 Color & 2 B/W Illustrations
by CRC Press

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... Read more

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

Biography

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.