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Many of America's favorite holidays, including Christmas, Easter, Halloween, and Valentine's Day, originated far beyond our shores and long before our Founding Fathers were born. Some holidays, including Thanksgiving Day, the Fourth of July, Flag Day, Labor Day, Lincoln's Birthday, Martin Luther King, Jr. Day, Memorial Day, President's Day, Veteran's Day, and Washington's Birthday, were uniquely grounded in America's past. New Year's Day has become a feast of college football bowl games. Still others, such as Cinco de Mayo, Columbus Day, and St. Patrick's Day, are largely the products of...

Why the title, Freedom, Common Sense, and the "Nanny State"? Freedom is the individual's ability to choose. The more choices one has in life, the greater one's freedom. America is world-famous as the Land of the Free. Common sense is the stuff wise decisions are based upon. Freedom and common sense-and lots of good, old-fashioned ingenuity-have built the greatest nation the world has ever known, the United States of America. But freedom can be frustrating, because it allows for philosophers and fools. And common sense is not as plentiful as one might hope.

We Americans are currently...

Some remarkable connections between commutative algebra and combinatorics have been discovered in recent years. This book provides an overview of two of the main topics in this area. The first concerns the solutions of linear equations in nonnegative integers. Applications are given to the enumeration of integer stochastic matrices (or magic squares), the volume of polytopes, combinatorial reciprocity theorems, and related results. The second topic deals with the face ring of a simplicial complex, and includes a proof of the Upper Bound Conjecture for Spheres. An introductory chapter...

Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author's extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models.

The text is primarily intended for use in a one-semester...