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This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
Mathematics of Computing -- Parallelism.
This book solves several mathematical problems in the areas of Very Large Scale Integration (VLSI) and parallel computation. In particular, it describes optimal layouts for the shuffle-exchange graph, one of the best known networks for parallel computation. Attempts to design a shuffle-exchange computer have been hampered in part by the fact that, until now, no good layouts for the shuffle-exchange graph were known. The mesh of trees network (which may eventually prove as useful as the shuffle-exchange graph) is introduced and the book shows how it can be used to perform a variety of computations, including sorting and matrix multiplication, in a logarithmic number of steps. Next, the book i...
For nearly a year, the Pres.'s Information Tech. Advisory Comm. (PITAC) has studied the security of the information tech. (IT) infrastructure of the U.S., which is essential to nat. & homeland security as well as everyday life. The IT infrastructure is highly vulnerable to premeditated attacks with potentially catastrophic effects. Thus, it is a prime target for cyber terrorism as well as criminal acts. The IT infrastructure encompasses not only the public Internet -- e-commerce, communication, & Web services -- but also the less visible systems & connection of the Nation's critical infrastructures such as power grids, air traffic control systems, financial systems, & military & intelligence systems. These all require a secure IT infrastructure.
This book constitutes the refereed proceedings of the 7th International Workshop on Algorithms and Data Structures, WADS 2001, held in Providence, RI, USA in August 2001. The 40 revised full papers presented were carefully reviewed and selected from a total of 89 submissions. Among the topics addressed are multiobjective optimization, computational graph theory, approximation, optimization, combinatorics, scheduling, Varanoi diagrams, packings, multi-party computation, polygons, searching, etc.
The developed world is struggling with unsustainable promises and unappealing choices, and sustained economic growth represents one of the few ways out. And over the centuries, growth in advanced economies has been strongly linked to innovation. Despite the vast amounts written about innovation over the years, understanding of its drivers remains surprisingly limited. This book, by top Harvard Business School professor Josh Lerner, seeks to remedy this shortfall. It highlights that while organizational economists have made strides in understanding what combinations of incentives and organization structure can encourage innovative breakthroughs, many of these insights have not yet received th...
The concept of content delivery (also known as content distribution) is be coming increasingly important due to rapidly growing demands for efficient distribution and fast access of information in the Internet. Content delivery is very broad and comprehensive in that the contents for distribution cover a wide range of types with significantly different characteristics and performance concerns, including HTML documents, images, multimedia streams, database tables, and dynamically generated contents. Moreover, to facilitate ubiqui tous information access, the network architectures and hardware devices also vary widely. They range from broadband wired/fixed networks to bandwid- constrained wire...
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