This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal—Katona theorem and algebraic aspects of Alexander duality.
Course No. 4855 (12 lectures, 30 minutes/lecture) Taught by Daniel N. Robinson Philosophy Faculty, Oxford University; Distinguished Professor, Emeritus, Georgetown University Ph.D., City University of New York
Don Quixote is a comedy, which could only have been written by the hitherto obscure genius later in life after he had suffered injury on the battlefield and was subject to periods of harsh confinement in prison. The comedy is bittersweet about this everyman who lives strictly by a code of ancient ethical ideals that inspire him to fits of lunacy, folly and madness. Lucid, indeed inspired, when the subject is anything but knight errantry, Quixote's commitment to his ideals brings him insult, injury, poverty and ridicule.It's a book that everyone must have in his shelve.
