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Prophetic Precursors
Prophetic Precursors discusses some key biblical figures: Adam, Noah, Abraham, Joseph, Moses, David, Solomon, Mary, and Jesus. Christian and Muslim views of these figures are contrasted and where relevant the question is asked whether these figures point us towards Jesus or towards Muhammad.
Error-Correction Coding and Decoding
This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of ...
The Classification of Finite Simple Groups
Never before in the history of mathematics has there been an individual theorem whose proof has required 10,000 journal pages of closely reasoned argument. Who could read such a proof, let alone communicate it to others? But the classification of all finite simple groups is such a theorem-its complete proof, developed over a 30-year period by about 100 group theorists, is the union of some 500 journal articles covering approximately 10,000 printed pages. How then is one who has lived through it all to convey the richness and variety of this monumental achievement? Yet such an attempt must be made, for without the existence of a coherent exposition of the total proof, there is a very real danger that it will gradually become lost to the living world of mathematics, buried within the dusty pages of forgotten journals. For it is almost impossible for the uninitiated to find the way through the tangled proof without an experienced guide; even the 500 papers themselves require careful selection from among some 2,000 articles on simple group theory, which together include often attractive byways, but which serve only to delay the journey.
Computational Complexity
This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.
Count God In
This study of Song of Songs uncovers many patterns related to the numerical value twenty-six and related numbers for the divine name YHWH. Patterns are so unique that they clearly show authorial intent. They involve the numerical value of root forms of words, their sequences, and their totals in the book. The beloved man is highlighted by special patterns, which indicate that a typology for God is intended. Deer names in the refrain have number patterns that confirm intention for being circumlocutions for divine names. The disputed presence of the divine name YH in 8:6 is confirmed by the value of its full word. One of the most striking patterns found with the help of a computer is that the ...
Subgroup Complexes
This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.
Groups of Lie Type and Their Geometries
Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the future.
Numbers, Information and Complexity
Numbers, Information and Complexity is a collection of about 50 articles in honour of Rudolf Ahlswede. His main areas of research are represented in the three sections, `Numbers and Combinations', `Information Theory (Channels and Networks, Combinatorial and Algebraic Coding, Cryptology, with the related fields Data Compression, Entropy Theory, Symbolic Dynamics, Probability and Statistics)', and `Complexity'. Special attention was paid to the interplay between the fields. Surveys on topics of current interest are included as well as new research results. The book features surveys on Combinatorics about topics such as intersection theorems, which are not yet covered in textbooks, several contributions by leading experts in data compression, and relations to Natural Sciences are discussed.
Public Key Cryptography - PKC 2010
This book constitutes the refereed proceedings of the 13th International Conference on Practice and Theory in Public Key Cryptography, PKC 2010, held in Paris, France, in May 2010. The 29 revised full papers presented were carefully reviewed and selected from 145 submissions. The papers are organized in topical sections on encryption; cryptanalysis; protocols; network coding; tools; elliptic curves; lossy trapdoor functions; discrete logarithm; and signatures.
Applied Cryptography and Network Security
ACNS 2010, the 8th International Conference on Applied Cryptography and Network Security, was held in Beijing, China, during June 22-25, 2010. ACNS 2010 brought together individuals from academia and industry involved in m- tiple research disciplines of cryptography and security to foster the exchange of ideas. ACNS was initiated in 2003, and there has been a steady improvement in the quality of its program over the past 8 years: ACNS 2003 (Kunming, China), ACNS 2004 (Yellow Mountain, China), ACNS 2005 (New York, USA), ACNS 2006 (Singapore), ACNS 2007 (Zhuhai, China), ACNS 2008 (New York, USA), ACNS2009(Paris,France). Theaverageacceptanceratehasbeenkeptataround 17%, and the average number of...
