The ?nite-dimensional nonlinear complementarity problem (NCP) is a s- tem of ?nitely many nonlinear inequalities in ?nitely many nonnegative variables along with a special equation that expresses the complementary relationship between the variables and corresponding inequalities. This complementarity condition is the key feature distinguishing the NCP from a general inequality system, lies at the heart of all constrained optimi- tion problems in ?nite dimensions, provides a powerful framework for the modeling of equilibria of many kinds, and exhibits a natural link between smooth and...

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The story of the mysterious indictment, trial, and reckoning forced upon Joseph K. in Franz Kafka's The Trial is one of the twentieth century's master parables, reflecting the central spiritual crises of modern life. Kafka's method-one that has influenced, in some way, almost every writer of substance who followed him-was to render the absurd and the terrifying convincing by a scrupulous, hyperreal matter-of-factness of tone and treatment. He thereby imparted to his work a level of seriousness normally associated with civilization's most cherished...

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Arriving in a village to take up the position of land surveyor for the mysterious lord of a castle, the character known as K. finds himself in a bitter and baffling struggle to contact his new employer and go about his duties. As the villagers and the Castle officials block his efforts at every turn, K.'s consuming quest-quite possibly a self-imposed one-to penetrate the inaccessible heart of the Castle and take its measure is repeatedly frustrated. Kafka once suggested that the would-be surveyor in The Castle is driven by a wish "to get clear about...

(Book Jacket Status: Jacketed)Franz Kafka's imagination so far outstripped the forms and conventions of the literary tradition he inherited that he was forced to turn that tradition inside out in order to tell his splendid, mysterious tales. Scrupulously naturalistic on the surface, uncanny in their depths, these stories represent the achieved art of a modern master who had the gift of making our problematic spiritual life palpable and real.This edition of his stories includes all his available shorter fiction in a collection edited, arranged, and introduced by Gabriel Josipovici in ways that...

This collection brings together the stories that Kafka allowed to be published during his lifetime. To Max Brod, his literary executor, he wrote: "Of all my writings the only books that can stand are these."

Mild and sensitive Richard Hieck endured a quietly difficult childhood in Germany. But from his father Richard inherited an interest in the night sky, learning to love the constellations and to take comfort in the strength of Orion and the warm radiance of Venus. His choice to pursue mathematics offers him the discipline he craved as a child.
Published in 1933, "The Unknown Quantity" is Hermann Broch's study of the underlying chaos-and finally the impossibility-of life within a society whose values are in decay. As Richard seeks to reconcile the conflicting demands of love and science, of...