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Incidence Algebras
This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras.
Computational Group Theory and the Theory of Groups
"The power of general purpose computational algebra systems running on personal computers has increased rapidly in recent years. For mathematicians doing research in group theory, this means a growing set of sophisticated computational tools are now available for their use in developing new theoretical results." "This volume consists of contributions by researchers invited to the AMS Special Session on Computational Group Theory held in March 2007. The main focus of the session was on the application of Computational Group Theory (CGT) to a wide range of theoretical aspects of group theory. The articles in this volume provide a variety of examples of how these computer systems helped to solv...
Unsolved Problems in Number Theory
Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
Distributed Computing
DISC, the International Symposium on DIStributed Computing, is an annual forum for research presentations on all facets of distributed computing. DISC 2000 was held on4-6 October, 2000 in Toledo, Spain. This volume includes 23 contributed papers and the extended abstract of an invited lecture from last year’s DISC. It is expected that the regular papers will later be submitted in a more polished form to fully refereed scienti?c journals. The extended abstracts of this year’s invited lectures, by Jean-Claude Bermond and Sam Toueg, will appear in next year’s proceedings. We received over 100 regular submissions, a record for DISC. These s- missions were read and evaluated by the program committee, with the help of external reviewers when needed. Overall, the quality of the submissions was excellent, and we were unable to accept many deserving papers. This year’s Best Student Paper award goes to “Polynomial and Adaptive Long-Lived (2k?1)-Renaming” by Hagit Attiya and Arie Fouren. Arie Fouren is the student author.
Combinatorial Reciprocity Theorems
Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.
Doc: Platoon Medic
HE GAVE MEN A FIGHTING CHANCE... TO SURVIVE Dan Evans arrived in Vietnam on October 7, 1968, a 21- year-old Army medic who couldn't stand the sight of blood. Thrust into the cauldron of combat, he soon became a seasoned veteran of emergency medicine and the brutal realties of war. Before his time was up, he would master the skills of a surgeon, acquire the patience of a saint, and demonstrate the courage of a lion... Here, in his own words, is the gripping true story of Dan Evans, the highly decorated soldier whom the men of First Platoon, Bravo Company, called the "fighting medic." Experience the rage, the sorrow and the remarkable spirit of Dan Evans - the PLATOON MEDIC who became a true American hero.
