Mathematical Foundations of Blockchains

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

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• Bases de dados distribuídos
• Segurança do computador
• Aspectos jurídicos da Tecnologia Informática
• Teoria da codificação e criptologia
• Lógica matemática
• Matemática aplicada
• Teoria matemática da computação

consensus mechanisms;decentralized finance systems;post-quantum security;stochastic modeling;matrix algebra applications;probability theory methods;advanced blockchain mathematical modeling