"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"-- Provided by publisher.
This book is the first of a two-volume work on blockchains. Volume 1 is on the fundamentals of blockchains and consists of an overview of blockchains and the mathematics required for understanding the workings of blockchains. This work can be used by students of electrical engineering, computer science, applied mathematics, and economics.
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.
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
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.
