Название: Introduction to Number Theory & Cryptography: The Foundation of Digital Security (With 400+ Practice Questions for Undergraduates and Graduates)Автор: Cristen Weldon
Издательство: Independently published
Год: 2024
Страниц: 520
Язык: английский
Формат: pdf
Размер: 12.0 MB
Unlock the Power of Math and Cryptography!
Looking for the ultimate guide to mastering both number theory and cryptography? Whether you're an undergraduate, a graduate student, or a professional, Introduction to Number Theory & Cryptography: The Foundation of Digital Security is the perfect textbook to elevate your understanding. With over 400 practice questions, this book is designed to provide a solid foundation and challenge your knowledge across every topic.
This textbook, Introduction to Number Theory & Cryptography - The Foundation of Digital Security, provides a thorough exploration of both theoretical and practical aspects of number theory and cryptography. It is designed to cater to the needs of students ranging from beginners in undergraduate programs to advanced graduate researchers.
The book systematically introduces key concepts in number theory, including divisibility, prime numbers, modular arithmetic, quadratic residues, and more, laying a strong foundation for understanding cryptographic algorithms. Cryptographic methods such as RSA, Diffie-Hellman, elliptic curve cryptography, and digital signatures are extensively discussed, with emphasis on both their mathematical underpinnings and their practical applications in modern-day cryptographic protocols.
Beyond fundamental concepts, the text delves into advanced topics such as cryptographic protocol design, blockchain technology, and post-quantum cryptography, demonstrating the relevance of number theory in contemporary cryptographic challenges. The text also explores the impact of quantum computing on cryptography and addresses methods to protect against quantum threats, including lattice-based and hash-based cryptographic techniques.
Each chapter is supported by numerous examples, exercises, and case studies that facilitate both theoretical understanding and practical application. Special emphasis is placed on real-world cryptographic successes and failures, providing students with a comprehensive understanding of how these systems operate in practice.
What’s Inside?
- Master Number Theory: Dive into divisibility, prime numbers, modular arithmetic, quadratic residues, and more - presented in a clear, engaging way that’s easy to follow.
- Cryptography Made Simple: Discover how number theory forms the backbone of modern cryptography, with deep dives into RSA, Diffie-Hellman, elliptic curve cryptography, hash functions, and more.
- Real-World Applications: Learn through hands-on examples and practical case studies from modern protocols like TLS, VPN, and blockchain.
- Over 400 Practice Questions: Sharpen your problem-solving skills with hundreds of exercises covering every concept - ideal for exam preparation and practical learning.
- Future-Ready Knowledge: Explore post-quantum cryptography and how quantum computing will impact security in the future.
Why This Book is a Must-Have:
Designed for All Levels: Whether you're just starting out or expanding your knowledge, this book suits both beginners and advanced students.
Clear and Concise Explanations: Complex topics are simplified and supported by examples to make learning accessible and engaging.
Cutting-Edge Content: Stay updated with the latest trends in cryptography, including blockchain, quantum threats, and how cryptographic algorithms secure our world.
Practice-Oriented: With 400+ problems touching on every topic, you'll gain the skills needed to apply cryptography in academic or professional settings.
Prepare for a Secure Future!
Equip yourself with the number theory and cryptographic knowledge essential for today’s digital world. Whether used as a primary course textbook or a reference for self-study, this book serves as a definitive resource for anyone looking to understand the principles, algorithms, and security considerations involved in modern cryptographic systems.
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