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Equimultiplicity and Blowing Up
Content and Subject Matter: This research monograph deals with two main subjects, namely the notion of equimultiplicity and the algebraic study of various graded rings in relation to blowing ups. Both subjects are clearly motivated by their use in resolving singularities of algebraic varieties, for which one of the main tools consists in blowing up the variety along an equimultiple subvariety. For equimultiplicity a unified and self-contained treatment of earlier results of two of the authors is given, establishing a notion of equimultiplicity for situations other than the classical ones. For blowing up, new results are presented on the connection with generalized Cohen-Macaulay rings. To ke...
West Essex
In 1702, a tract of land known as "Horseneck" was purchased by descendants of the Puritans from the Hackensack Indians for 130 pounds. The area, which consisted of over 13,500 acres of land, was located on the second Watchung Mountain from New York City. With conflicts between the Native American deeds and the grants from the East Jersey Proprietors who represented the Crown, land disputes ensued and resulted in the "Horseneck Riots" in 1744. These riots occurred when a prominent Horseneck farmer, Samuel Baldwin, was arrested and thrown into the Newark Jail. Within a few hours, 300 angry Horseneck farmers marched into the jail and freed him. This represented the first successful resistance a...
Solving Polynomial Equations
This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.
Commutative Algebra
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.
Modern Computer Algebra
Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
Studying with Miss Bishop
"Fascinating snapshots of remarkable encounters which, when brought together, chart a delightfully unusual path to literary success."―Booklist "Reading this memoir is like being at one of those memorable dinner parties, attended by the best and brightest, sparkling with wit and excellent conversations. You don’t want it to be over, the conversations to end! But with books, you need not worry. You can go back to the party, savor it, reread it again, and again."―Julia Alvarez, author of In the Time of the Butterflies and Afterlife “Gioia has been uncommonly lucky in meeting many major poets, among them Elizabeth Bishop. His portrait of her in these pages is shrewd and subtle. The famou...
