Blockchain Engineering: Mathematical Foundations provides a comprehensive and technically rigorous examination of the mathematical principles underlying secure, scalable, and sustainable blockchain infrastructure. Designed for engineers, researchers, and advanced students, this resource explores the foundational concepts that enable decentralized system design and implementation. The book emphasizes formal reasoning and precise mathematical approaches to blockchain architecture. Key topics include cryptographic primitives, consensus algorithms, distributed ledger structures, and security protocols. Readers examine hash functions, digital signatures, Merkle trees, Byzantine fault tolerance, and proof mechanisms in depth. The text addresses scalability challenges, network protocols, and system optimization strategies. Rather than offering superficial overviews or programming tutorials, this book provides rigorous mathematical treatment of blockchain fundamentals. Content covers formal verification methods, protocol design principles, and theoretical foundations essential for advanced blockchain development. The material serves both as a textbook for graduate-level courses and as a reference for protocol designers and blockchain researchers. Through careful mathematical exposition, the book equips readers with deep understanding of the principles enabling secure decentralized systems.
