Mathematical Foundations of Blockchains
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Mathematical Foundations of Blockchains: Fundamentals, Volume 1

Mathematical Foundations of Blockchains: Fundamentals, Volume 1


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About the Book

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.

Table of Contents:
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

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.


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Product Details
  • ISBN-13: 9781040406205
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: CRC Press
  • Language: English
  • ISBN-10: 1040406203
  • Publisher Date: 17 Oct 2025
  • Binding: Digital (delivered electronically)
  • Sub Title: Fundamentals, Volume 1


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