This book is an introduction to algebraic number theory via the famous problem of "Fermat's Last Theorem." The exposition follows the historical development of the problem, beginning with the work of Fermat and ending with Kummer's theory of "ideal" factorization, by means of which the theorem is proved for all prime exponents less than 37. The more elementary topics, such as Euler's proof of the impossibilty of x+y=z, are treated in an elementary way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the...

Man sollte weniger danach streben, die Grenzen der mathe matischen Wissenschaften zu erweitern, als vielmehr danach, den bereits vorhandenen Stoff aus umfassenderen Gesichts punkten zu betrachten - E. Study Today most mathematicians who know about Kronecker's theory of divisors know about it from having read Hermann Weyl's lectures on algebraic number theory We], and regard it, as Weyl did, as an alternative to Dedekind's theory of ideals. Weyl's axiomatization of what he calls "Kronecker's" theory is built-as Dedekind's theory was built-around unique factor ization. However, in presenting...

- 60 Years Ago - One Family was Accused of Starting Chicago's Second Worst Race Riot - Attorney George C. Adams and Charles S. Edwards, Realtor, were in the business of buying and selling property. They bought the wrong property from the wrong person in the wrong town. Almost five thousand watched as the riot reached its peak. The lawsuits and aftermath left one family member dead and others hurt, physically, psychologically, and financially for decades to come. The white owner of the burned building in Cicero claimed that my family was, "A group of colored incendiaries on the prowl for a...

The Bridge Club meets every Saturday, rotating from house to house. The hard workers relax and talk about their lives, loves, and current affairs while playing cards. The real game, though, is in the repartee they use as a side diversion, a battle of intelligence, words, and "one-upmanship." They have many things in common; the biggest is a secret that they have passed down from generation to generation as far back as America is old. As the friends battle to keep their damning secret, they survive through bridge and the mind games they play in their group and with society. We follow the...

Screeching to a halt at an intersection in time, two lives slam into each other. Whether fate, bad luck, or just plain manipulation; the end result is pain. The neighbors think he is a crank, and he thinks that any nonsensical and everyday occurrence is something more. Forced to move next to this strange, nosy neighbor because of insider trading and murder charges, our heroine finds out that he is also her professor and an agent who wants to engage her in a match for information and control. Mysterious accidents and bizarre incidents begin to happen to her and her loved ones. Instead of...

What do you want out of life? Michelle Dubanc and Christopher Harvard meet briefly over the summer, and their friendship continues to grow when they meet again at college in Louisiana. As athletes fighting off racism and the stereotype of the "dumb jock," their attraction grows as they interact with Christopher's teammates, Jordan, Mike, and Tank on a small, rural campus. Sharing a passion for athletics as well as life, Michelle and Chris develop a bond that will soon endure more than either could ever imagine. Both athletes turn pro and realize their love for each other and their sport, but...

Did you prepare to live to one hundred? And, do you have a relationship, a good enough relationship, that someone will take care of you when you can't take care of yourself, such as lift you in and out of a wheelchair to the toilet to bed, feed you, wipe you, change your diapers, and who doesn't mind getting thrown-up on, messed on, wet on, cursed out, and worst of all, has forgotten you and all the reasons of why you're helping them? The true harsh reality of life is that we start off in diapers and end up in diapers. Because of the nuances of caregiving and trying to live for yourself and...