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Post Quantum Cryptography
Post Quantum Cryptography
Quantum computers will break today's most popular public-key cryptographic systems, including RSA, DSA, and ECDSA. This book introduces the reader to the next generation of cryptographic algorithms, the systems that resist quantum-computer attacks: in particular, post-quantum public-key encryption systems and post-quantum public-key signature...
Quantum Gravitation: The Feynman Path Integral Approach
Quantum Gravitation: The Feynman Path Integral Approach
The book covers the theory of Quantum Gravitation from the point of view of Feynman path integrals. These provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. The path integral method is suitable for...
Statistical Approach to Quantum Field Theory: An Introduction (Lecture Notes in Physics)
Statistical Approach to Quantum Field Theory: An Introduction (Lecture Notes in Physics)

Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled...

Fuzzy Equational Logic (Studies in Fuzziness and Soft Computing)
Fuzzy Equational Logic (Studies in Fuzziness and Soft Computing)
The present book deals with algebras, congruences, morphisms, reasoning about identities, classes of algebras and their axiomatizability, etc., from the point of view of fuzzy logic. We therefore deal with topics traditionally studied in universal algebra. Our approach is the following. In classical universal algebra, one works in bivalent setting....
Machine Translation (MIT Press Essential Knowledge series)
Machine Translation (MIT Press Essential Knowledge series)

A concise, nontechnical overview of the development of machine translation, including the different approaches, evaluation issues, and major players in the industry. About the Author Thierry Poibeau is Director of

Research at the Centre National de la Recherche Scientifique in Paris, Head of the LATTICE (Langues, Textes,...

Algorithmic Cryptanalysis (Cryptography and Network Security)
Algorithmic Cryptanalysis (Cryptography and Network Security)
Focusing on both private- and public-key cryptographic algorithms, this book describes algorithmic methods with cryptographically relevant examples. After introducing modern cryptography and elementary number theory and algebra, it covers linear algebra, sieving, brute force, algorithms based on the birthday paradox,...
Fault Analysis in Cryptography (Information Security and Cryptography)
Fault Analysis in Cryptography (Information Security and Cryptography)

In the 1970s researchers noticed that radioactive particles produced by elements naturally present in packaging material could cause bits to flip in sensitive areas of electronic chips. Research into the effect of cosmic rays on semiconductors, an area of particular interest in the aerospace industry, led to methods of hardening electronic...

Error-Correcting Linear Codes: Classification by Isometry and Applications
Error-Correcting Linear Codes: Classification by Isometry and Applications

This text offers an introduction to error-correcting linear codes for graduate students in mathematics, computer science and engineering and researchers. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic concepts like finite fields and group actions are...

An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)
An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required...
Path Integrals and Quantum Anomalies (The International Series of Monographs on Physics)
Path Integrals and Quantum Anomalies (The International Series of Monographs on Physics)
`Definitely a book that will fill a need at the graduate and research level. ' Ian Aitchison, University of Oxford

`An excellent addition to the literature by one of the pioneers in understanding anomalies. ' Roman Jackiw, Massachusetts Institute of Technology

The Feynman path integrals are becoming
...
Quantum Walks and Search Algorithms (Quantum Science and Technology)
Quantum Walks and Search Algorithms (Quantum Science and Technology)

This book addresses an interesting area of quantum computation called quantum walks, which play an important role in building quantum algorithms, in particular search algorithms. Quantum walks are the quantum analogue of classical random walks.

It is known that quantum computers have great power for searching unsorted databases....

Lattice: Multivariate Data Visualization with R (Use R)
Lattice: Multivariate Data Visualization with R (Use R)
R is rapidly growing in popularity as the environment of choice for data analysis and graphics both in academia and industry. Lattice brings the proven design of Trellis graphics (originally developed for S by William S. Cleveland and colleagues at Bell Labs) to R, considerably expanding its capabilities in the process. Lattice is a powerful and...
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