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The Collected Papers of William Burnside: Commentary on Burnside's life and work ; Papers 1883-1899
William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deep twentieth-century subject. Building on work of earlier mathematicians, they were able to develop sophisticated tools for solving difficult problems. All of Burnside's papers are reproduced here, organized chronologically and with a detailed bibliography. Walter Feit has contributed a foreword, and a collection of introductory essays are included to provide a commentary on Burnside's work and set it in perspective along with a modern biography that draws on archive material.
Introduction to Representation Theory
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Burnside's Bridge
Profile of the troops whose last stand helped prevent the destruction of the Army of Northern Virginia, providing Robert E. Lee with yet another chance for a northern invasion .
Burnside
Ambrose Burnside, the Union general, was a major player on the Civil War stage from the first clash at Bull Run until the final summer of the war. He led a corps or army during most of this time and played important roles in various theaters of the war. But until now, he has been remembered mostly for his distinctive side-whiskers that gave us the term "sideburns" and as an incompetent leader who threw away thousands of lives in the bloody battle of Fredericksburg. In a biography focusing on the Civil War years, William Marvel reveals a more capable Burnside who managed to acquit himself creditably as a man and a soldier. Along the Carolina coast in 1862, Burnside won victories that catapult...
Historical Encyclopedia of Natural and Mathematical Sciences
This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.
Irish Pedigrees
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Burnside's Boys
Unique among Union army corps, the Ninth fought in both the Eastern and Western theaters of the Civil War. The corps’ veterans called their service a “geography class,” and others have called the Ninth “a wandering corps” because it covered more ground than any corps in the Union armies. With the same attention to detail that he gave to the First Corps in First for the Union, Darin Wipperman vividly reconstructs life—and death—in the Ninth Corps. The roots of the Ninth Corps lay in the early 1862 coastal expeditions in the Carolinas under Ambrose Burnside. After this successful campaign—a master class in Civil War amphibious warfare that turned Burnside into a star—Burnside...
I Dread the Thought of the Place
"In this book, the author provides an hour-by-hour tactical history of the battle, beginning before dawn on September 17 and concluding with the immediate aftermath of the battle, including General McClellan's fateful decision to not pursue Lee's retreating forces back across the Potomac to Virginia. But this is not only an operational history of Antietam: the author also offers the reader insight into the experiences of enlisted soldiers, the terror of the fighting itself, and the emotional aftermath for those who survived"--
