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This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler...
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 systems. Leading experts have joined forces for the first time to explain the state of the art in quantum computing, hash-based cryptography, code-based cryptography, lattice-based cryptography, and multivariate cryptography. Mathematical foundations and implementation issues are included. This book is an essential resource for students and researchers who want to contribute to the field of post-quantum cryptography.
Collected here are papers that were presented at or inspired by the DIMACS workshop, Algebraic Coding Theory and Information Theory (Rutgers University, Piscataway, NJ). Among the topics discussed are universal data compression, graph theoretical ideas in the construction of codes and lattices, decoding algorithms, and computation of capacity in various communications schemes. The book is suitable for graduate students and researchers interested in coding and information theory.
Student edition of the classic text in information and coding theory
Over the past years, the rapid growth of the Internet and World Wide Web has provided great opportunities for online commercial activities, business transactions and government services over open computer and communication networks. However, such developments are only possible if communications can be conducted in a secure and reliable manner. The mathematical theory and practice of coding theory and cryptology underpin the provision of effective security and reliability for data communication, processing and storage. Theoretical and practical advances in these fields are therefore a key factor in facilitating the growth of data communications and data networks.The aim of the International W...
Coding theory is still a young subject. One can safely say that it was born in 1948. It is not surprising that it has not yet become a fixed topic in the curriculum of most universities. On the other hand, it is obvious that discrete mathematics is rapidly growing in importance. The growing need for mathe maticians and computer scientists in industry will lead to an increase in courses offered in the area of discrete mathematics. One of the most suitable and fascinating is, indeed, coding theory. So, it is not surprising that one more book on this subject now appears. However, a little more justification of the book are necessary. A few years ago it was and a little more history remarked at ...
A quarter century of research into deep space and near Earth optical communications This book captures a quarter century of research and development in deep space optical communications from the Jet Propulsion Laboratory (JPL). Additionally, it presents findings from other optical communications research groups from around the world for a full perspective. Readers are brought up to date with the latest developments in optical communications technology, as well as the state of the art in component and subsystem technologies, fundamental limitations, and approaches to develop and fully exploit new technologies. The book explores the unique requirements and technologies for deep space optical c...
In April 1995, WINLAB (the Wireless Infonnation Network Lab oratory at Rutgers University) hosted the Fifth WINLAB Workshop on Third Generation Wireless Infonnation Networks. This workshop brings together a select group of experts interested in the future of Personal Communications, Mobile Computing and other services supported by wireless communications. As a sequel to Kluwer books on previous WINLAB workshops,l this volume assembles written versions of presentations of the Fifth Workshop. The last few years have been exciting for the field of wireless communications. The second generation systems that have absorbed our attention during those years are becoming commercial realities. Everyon...
This volume contains all papers presented at the workshop "Sequences '91: Methods in Communication, Security and Computer Science," which was held Monday, June 17, through Friday, June 21, 1991, at the Hotel Covo dei Saraceni, Positano, ltaly. The event was sponsored by the Dipartimento di Informatica ed Applicazioni of the University of Salerno and by the Dipartimento di Matematica of the University of Rome. We wish to express our warmest thanks to the members of the program Committee: Professor B. Bose, Professor S. Even, Professor Z. Galil, Professor A. Lempel, Professor J. Massey, Professor D. Perrin, and Professor J. Storer. Furthermore, Professor Luisa Gargano provided effective, cease...