Rational Algebraic Curves

Rational Algebraic Curves

The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its complete singularity structure, computing regular points of the curve in small coordinate fields, and constructing linear systems of curves with prescribed intersection multiplicities. The book discusses various optimality criteria for rational parametrizations of algebraic curves.

Rational Algebraic Curves

Vietnam Studies

Vietnam Studies

The United States Army has met an unusually complex challenge in Southeast Asia. In conjunction with the other services, the Army has fought in support of a national policy of assisting an emerging nation to develop governmental processes of its own choosing, free of outside coercion. In addition to the usual problems of waging armed conflict, the assignment in Southeast Asia has required superimposing the immensely sophisticated tasks of a modern army upon an underdeveloped environment and adapting them to demands covering a wide spectrum. These involved helping to fulfill the basic needs of an agrarian population, dealing with the frustrations of antiguerrilla operations, and conducting conventional campaigns against well-trained and determined regular units.

Vietnam Studies

Circle the Truth

Circle the Truth

Strange things are happening in Rith’s house at night. First a spiral staircase replaces the regular stairs. The new stairs lead to a living room that isn’t his, a cat that isn’t his either, and a bizarre old man whose words are just gibberish. Or are they? Rith’s never been into religion. But he realizes those words have a spiritual sourceand an uncanny ring of truth. Is he just dreaming? Is the old man God? As Rith tries to circle closer to the truth, the line between reality and unreality blurs

Circle the Truth

Ann Arbor Observed

Ann Arbor Observed

Twenty-five years ago Grace Shackman began to document the history of Ann Arbors buildings, events, and people in the Ann Arbor Observer. Soon Shackmans articles, which depicted every aspect of life in Ann Arbor during the citys earlier eras, became much-anticipated regular stories. Readers turned to her illuminating minihistories when they wanted to know about a particular landmark, structure, personality, organization, or business from Ann Arbors past.

Ann Arbor Observed

Fitness Weight Training - 3rd Edition

Fitness Weight Training - 3rd Edition

Whether youve been a regular at the gym for years or are just getting started, Fitness Weight Training contains proven programs for attaining the body you want!

Fitness Weight Training - 3rd Edition

Secrets of Professional Tournament Poker, Volume 1

Secrets of Professional Tournament Poker, Volume 1

Tournament poker is a tough game to play but the rewards for success can be huge. Even regular online tournaments offer substantial prizes running to hundreds of thousands of dollars.

Secrets of Professional Tournament Poker, Volume 1