Number theory cryptography (387 Ergebnisse)

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Sprache: Englisch
Verlag: CreateSpace Independent Publishing Platform, 2017
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Paperback. Zustand: new. Paperback. In today's interconnected digital society, the protection of information is not just a technical requirement but a cornerstone of trust, governance, and progress. Every email we send, every financial transaction we make, every online search query we type, and every AI system that analyzes data in real time-all depend on cryptographic security. Cryptography, once regarded as a highly specialized tool of spies, mathematicians, and military strategists, has now become a pervasive and indispensable technology that underpins the very infrastructure of our global digital economy.At the heart of cryptography lies number theory-a branch of pure mathematics that investigates the properties of integers, prime numbers, modular arithmetic, and abstract algebraic structures. What was once considered "the queen of mathematics" and "an art for art's sake" has become one of the most powerful weapons against cybercrime. Techniques such as modular exponentiation, prime testing, elliptic curve arithmetic, and the discrete logarithm problem are not only abstract mathematical curiosities but also the lifeblood of secure communication, online banking, e-commerce, blockchain, and digital identity.However, the story does not stop at cryptography and number theory. The dawn of the Artificial Intelligence (AI) era has added a new layer of complexity and opportunity to the field of security. AI has empowered cybersecurity systems with the ability to detect anomalies, predict attacks, defend against malware, and even break weak cryptographic algorithms. But at the same time, AI introduces new threats-adversarial AI attacks, data poisoning, model inversion, and large-scale misinformation campaigns-all of which demand new security paradigms that combine mathematics, algorithms, and intelligent defense mechanisms.This book, "Cryptography, Number Theory, and AI Security: Foundations and Applications", is designed as a bridge between classical mathematical security principles and modern AI-driven defense strategies. It offers a comprehensive exploration of the fundamentals of cryptography, the mathematical structures underlying secure systems, and the emerging role of AI in both defending and attacking these systems.Why This Book?The motivation behind this book is rooted in the urgent necessity to educate the next generation of cybersecurity professionals, mathematicians, and AI researchers about the convergence of three critical domains: Cryptography - The science of securing communication.Number Theory - The mathematical foundation of modern encryption.AI Security - The defense and offense mechanism in the age of intelligent cyberattacks.Most books in the current literature focus on one of these domains in isolation. Cryptography textbooks tend to emphasize classical and modern ciphers but often neglect the growing influence of AI. Number theory texts explore mathematical elegance but seldom address real-world cryptographic implementations. AI security resources focus heavily on intrusion detection and anomaly detection but rarely link back to the mathematical principles of encryption and secure computation.This book is different. It offers a holistic approach: It teaches number theory not as an abstract subject but as a tool for cryptography.It explains cryptography not just as a system of locks and keys but as a living technology facing AI-driven adversaries.It highlights AI security not just as a buzzword but as a mathematically grounded, cryptographically informed discipline.By unifying these perspectives, the book provides students, researchers, and professionals with a robust conceptual and practical toolkit that can be applie Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Mar 30, 1990. Zustand: Used: Very Good. Inkl. Rechnung nach §19; 2. Auflage; Buch stammt aus aufgelà ster Buchsammlung; Label, Stempel und Notizen mà glich.

Sprache: Englisch
Verlag: Springer, 2012
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Sprache: Englisch
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Sprache: Englisch
Verlag: CreateSpace Independent Publishing Platform, 2017
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Sprache: Englisch
Verlag: Springer-Verlag New York Inc., 2012
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Paperback. Zustand: Good. . . . both Gauss and lesser mathematicians may be justified in rejoic ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn't happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory. " This book presumes almost no background in algebra or number the ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.…

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Sprache: Englisch
Verlag: Cambridge University Press, Cambridge, 1990
Serie: Buch 124 von 387 - London Mathematical Society Lecture Notes
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paperback. Zustand: Good. Clean text. Shelving code LENS.

Sprache: Englisch
Verlag: Cambridge University Press, 1991
Serie: Buch 124 von 387 - London Mathematical Society Lecture Notes
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Zustand: Good. Volume 154. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Library sticker on front cover. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:9780521398770.…

Sprache: Englisch
Verlag: Springer, 1994
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hardcover. Zustand: Good. No DJ. Book shows common (average) signs of wear and use. Binding is still tight. Covers are intact but may be repaired. We have 75,000 books to choose from -- Ship within 24 hours -- Satisfaction Guaranteed.

Sprache: Englisch
Verlag: Springer, 1994
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Zustand: Good. Good condition. 2nd edition. Volume 114. A copy that has been read but remains intact. May contain markings such as bookplates, stamps, limited notes and highlighting, or a few light stains.

Sprache: Englisch
Verlag: Springer (edition Second Edition 1994), 1994
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Hardcover. Zustand: Very Good. Second Edition 1994. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.