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This volume gives an overview of the recent representative developments in relativistic and non-relativistic quantum theory, which are related to the application of various mathematical notions of various symmetries. These notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. The emphasis is on results in the following areas: foundation of quantum physics, quantization methods, nonlinear quantum mechanics, algebraic quantum field theory, gauge and string theories, discrete spaces, quantum groups and generalized symmetries.
Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Playfair, ADFGVX, Alberti, Vigene re, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods. The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book.
This text defines what constitutes cosmeceuticals and discusses various classes of products, from anti-ageing skin care and repair, anti-acne, and hair-growth compounds to agents for treating skin infections, rashes and irritations.
Listen to Alberti's voice. This is what Mark Jarzombek has done in studying virtually all of Alberti's writings on philosophy, ethics, aesthetics architecture, and literature.
An exploration and analysis of the 'age development' that all humans must traverse, from young adulthood to old age. The emotional and psychological stages that aging produces in all of us are documented using literature, history, myth, psycho-social research, and case studies for a broad perspective and understanding of the maturation process.