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Full Description
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.
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
